a researcher wants to know if mood is affected by music. she conducts a test on a sample of 4 randomly selected adults and measures mood rating before and after being exposed to classical music. test the hypothesis that mood rating improved after being exposed to classical music. following are the mood ratings for the four participants: Before Exposure After Exposure
Participant#1 4.0 5.0
Participant#2 5.2 6.0
Participant#3 3.2 4.0
Participant#4 4.5 6.2
Answers
The p-value is very small, even at the 0.01 level of significance, we can reject the null hypothesis. It is because p value is less than the alpha level.
Paired t test:
The paired t test is mainly used when single data is used for multiple tests like before and after consuming the medicine. In this case first, we create a new variable by taking the difference between the two treatments and then find the mean and standard deviation of that particular variable. The t statistic, in this case, can be calculated as:
\(t = \frac{xd- ud}{\frac{sd}{\sqrt{n} } }\)
The data given in the question is shown as:
Before Exposure After Exposure
Participant #1 4.0 5.0
Participant #2 5.2 6.0
Participant #3 3.2 4.0
Participant #4 4.5 6.2
The null hypothesis states that the mood rating before and after being exposed to classical music are equal and so the mood rating difference between after and before classical music is 0. On the other hand, the alternative hypothesis states that the mood rating before is less than the mood rating after being exposed to classical music and so the mood rating difference between after and before classical music is greater than 0.
So, the hypothesis for this question can be written as:
Here, d is the difference between mood rating after and before the classical music.
Now the t statistic value can be calculated as:
\(t = \frac{xd- ud}{\frac{sd}{\sqrt{n} } }\\\\t = \frac{1.075-0}{\frac{0.4272}{\sqrt{4} } }\\\\t = \frac{1.075}{\frac{0.4272}{2} } \\\\t = \frac{1.075}{0.2136}\)
t = 5.0328
The p value can be calculated as:
p-value = p(t > 5.0328)
p-value = 0.0076
Here, the probability p-value = p(t > 5.0328) = 0.0076 comes from excel function = TDIST(5.0328, 3, 1) where, the first term is for t statistic value, second term is for degrees of freedom, and the last term is for one-tail.
Hence the answer is The p-value is very small, even at the 0.01 level of significance, we can reject the null hypothesis. It is because p value is less than the alpha level.
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Related Questions
I haven’t came across one of these questions so not sure how to solve
Answers
m∠F = 140º
1) Since that trapezoid is a quadrilateral, then we can affirm that the Sum of their interior angles is:
\(\begin{gathered} S_i=180(n-2) \\ S_i=180(4-2) \\ S_i=180(2) \\ S_i=360 \end{gathered}\)Note that "n" refers to the number of sides:
Notice also that angle H is a right angle since this is not an Isosceles Trapezoid
So we can write out the following
9x +14x +4x + 90 = 360º
27x = 360 -90
27x = 270
x =10
Alternatively, angles between parallel lines are supplementary
2) To find out the measure of angle ∠F We'll need to plug x=10 into that expression:
m∠F = 14x
m∠F = 140º
Jose wants to ride his bicycle 41.2 miles this week. He has already ridden 4 miles. If he rides for 6 more days, what is the average number of miles he would have to ride each day to meet his goal?
Answers
maybe try not
Step-by-step explanation:
Answer:
it would be 6 miles a day
Step-by-step explanation:
do to 41.2 miles in 1 week and a 4 mile start plus six more days it would be 6x6=36+4=40
1. what is 10000 less than 61397?
2. what is 10000 more than 87406?
3. what is 1000 less than 46377?
4. what is 82126 more than 100?
5. what 10535 less than 10000?
6. 79459 ______ less than 79460?
7. 77602 ______ more than 77592?
8. 52341 ______ more than 51341?
(please help me with this)
Answers
The solution to the statements and missing spaces are;
51397974064537782226535794607759251341How to determine the valueFrom the information give, we have that;
1. 10000 less than 61397
This is represented as;
61397 - 10000
51397
2. 10000 more than 87406
This is represented as;
87406 + 10000
97406
3. 1000 less than 46377
This is represented as;
46377 - 1000
45377
4. 82126 more than 100
This is represented as;
82126 + 100
82226
5. 10535 less than 10000
This is represented as;
10535 - 10000
535
6. 79459 is 1 less than 79460
7. 77602 is 10 more than 77592
8. 52341 is 1000 more than 51341
Thus, the values are determined by adding or subtracting the terms.
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Neeeeeeeed heeeeeelp?!??!
Answers
Answer:
I haven't studied this topic so I am unable to answer this question pls understand .. Hope so
Is the answer to -2 + 3 going to be a positive or a negative integer? Why?
Answers
Answer:
positive
Step-by-step explanation:
it will be a positive because the 2 numbers don't share the same positivity : meaning -2 is a negative number and 3 is a positive you add those it will be a positive
ps: the answer is 1
WILL MARK BRAINLIEST PLS HELP!!!
Answers
Answer:
Angle 6= 109
Angle 6= 71
Step-by-step explanation:
Angle 4 and Angle 2 are equal because they are vertical angles, Angle 2 is also 109, Angle 6 is corresponding to angle 2, meaning angle 6 is also 109. To figure out angle 7 you simply do 180-109=71 and you get 71 for angle 7
Answer:
Step-by-step explanation:
<6 is the same since they are alternate interior angles meaning <6 is 109 degrees
7 is going to be a little more complicated.
180-109=71
<1,2,3 and 4 all share similar angles. 1 and 3 are similar, meaning 2 and 4 are also.
If 2 is 4 (109), then this means that 7 is 109 as it is the alternate exterior angle.
This table represents a relationship between x and y, where x is the independent variable.
x 25 30 35 40 45
y 5 10 15 20 25
Which equation represents the relationship between x and y?
y=x−20
y=15x
y = 5x
y = x + 20
Answers
The equation represents the relationship between x and y is y = x + 5. The correct option is C.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The table represents a linear relationship between x and y, where y increases by 5 for every increase of 5 in x. This means that the slope of the line is 5/5 or 1, and the y-intercept is 5. Using this information, we can write the equation of the line in slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept. Substituting the values we found, we get:
y = 1x + 5
or
y = x + 5
Therefore, the equation that represents the relationship between x and y is y = x + 5.
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There are 135 people in a sport centre. 77 people use the gym. 62 people use the swimming pool. 65 people use the track. 27 people use the gym and the pool. 23 people use the pool and the track. 31 people use the gym and the track. 4 people use all three facilities. Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool
Answers
The probability that the person uses the gym and track but not the pool is; 1/5.
What is the probability that a person uses the gym and track but not the pool?According to.the task content, it follows that 31 people use the gym and track while 4 people use all three facilities.
Hence, it follows that; 31-4 = 27 people use the gym and track but not the pool. On this note, the required probability is; 27/135 = 1/5.
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Which expression correctly shows the difference between the product of 11 and 7 and the sum of 6 and 10?
a: 11× (7-6) + 10
b: (11×7) + (6+10)
c: 11 x (7+ 6) + 10
d: (11×7) - (6 + 10)
Answers
9514 1404 393
Answer:
d: (11×7) - (6 + 10)
Step-by-step explanation:
"the product of 11 and 7" is 11×7.
"the sum of 6 and 10" is (6 +10).
The difference between the product and the sum is ...
(11×7) -(6 +10) . . . . . matches choice D
can someone please help me with these two questions .( plz show work )
Answers
\(4x + x = 1 - 6\)
so x=_1
\( - 2y - 8y = - 7 - 3\)
so y=1
400 x 600x 800x150x120
Answers
Answer:
3.456e+12
or
3,456,000,000,000
Step-by-step explanation:
400 x 600 = 240,000
240,000 x 800 = 192,000,000
192,000,000 x 150 = 28,800,000,000
28,800,000,000 x 120 = 3,456,000,000,000
hope this helps you :D
Does this table represent a proportional relationship?
A) Yes
B) No
Answers
Answer:
a
Step-by-step explanation:
it is all doubles
A harried chef can't keep up with his breakfast orders and decides to automate the process with a "butter gun." The gun provides a 10 gram burst of butter spray with each hit of the trigger. He starts with a rack that holds one piece of toast 1 meter away. The demand again exceeds supply and he realizes he can use the same gun to produce more toast by placing a larger rack at a greater distance. He finds that a four-slice rack works at a distance of 2 meters. Pleased with profits he carries the idea a step further and puts a holder 3 meters away, maintaining a 10 gram spray. See figure below.a) If 1 spray entirely covers the area of a single slice at 1 meter, can it entirely cover the area of 4 slices at 2 meters? Why or why not?b) How many slices can one spray cover with a 3 meter arragnement?c) How do these changes affect the amount of butter on each piece of toastd) Our up-and-coming chef moves the fun back to 5 meters. Predict how much toast he can spray and how much better each piece gets.e) Explain how he could duplicate the original single-slice toast at 5 meters from the gun.
Answers
a) No, a single spray of 10 grams of butter would not be enough to entirely cover the area of 4 slices of toast at 2 meters. The area of 4 slices of toast is larger than the area of 1 slice of toast, meaning that it would require more butter than 10 grams to cover the entire area.
b) A single spray of 10 grams of butter would be enough to cover the area of 8 slices of toast at 3 meters.
c) These changes would affect the amount of butter on each piece of toast in that there would be more butter on each piece with a larger rack and further distance from the "butter gun".
d) At 5 meters from the gun, our up-and-coming chef would be able to spray 16 slices of toast with a single burst of 10 grams of butter. Each piece of toast would also have more butter than it would if it was sprayed at a closer distance.
e) To duplicate the original single-slice toast at 5 meters from the gun, the chef would need to reduce the amount of butter being sprayed. He could do this by simply reducing the distance between the gun and the toast rack.
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Complete question :
A harried chef can't keep up with his breakfast orders and decides to automate the process with a "butter gun." The gun provides a 10 gram burst of butter spray with each hit of the trigger. He starts with a rack that holds one piece of toast 1 meter away. The demand again exceeds supply and he realizes he can use the same gun to produce more toast by placing a larger rack at a greater distance. He finds that a four-slice rack works at a distance of 2 meters. Pleased with profits he carries the idea a step further and puts a holder 3 meters away, maintaining a 10 gram spray. See figure below.a) If 1 spray entirely covers the area of a single slice at 1 meter, can it entirely cover the area of 4 slices at 2 meters? Why or why not?b) How many slices can one spray cover with a 3 meter arragnement?c) How do these changes affect the amount of butter on each piece of toastd) Our up-and-coming chef moves the fun back to 5 meters. Predict how much toast he can spray and how much better each piece gets.e) Explain how he could duplicate the original single-slice toast at 5 meters from the gun.
use the trapezoidal rule and simpson's rule to approximate the value of the definite integral for the given value of n. round your answer to four decimal places and compare the results with the exact value of the definite integral. 5 x x2 4 0 dx, n
Answers
Exact value of the definite integral is 320. Comparing the results: Exact value of the definite integral = 320, Trapezoidal Rule approximation (n = 4) = 340, Simpson's Rule approximation (n = 4) ≈ 246.6667.
What is trapezoid?
A trapezoid is a quadrilateral (a polygon with four sides) that has one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs.
To approximate the value of the definite integral ∫[0, 4] 5x * x^2 dx using the Trapezoidal Rule and Simpson's Rule, we need to specify the value of n, which represents the number of subintervals.
Let's calculate the approximations using n = 4 for both methods:
Trapezoidal Rule:
Using n = 4, we divide the interval [0, 4] into four subintervals of equal width: h = (4 - 0) / 4 = 1.
The approximated value using the Trapezoidal Rule is given by:
\(T_4 = (h/2) * [f(x_0) + 2f(x_1) + 2f(x_2) + 2f(x_3) + f(x_4)]\)
Plugging in the values:
\(T_4 = (1/2) * [f(0) + 2f(1) + 2f(2) + 2f(3) + f(4)]\\\\= (1/2) * [5(0)(0^2) + 2(5)(1)(1^2) + 2(5)(2)(2^2) + 2(5)(3)(3^2) + 5(4)(4^2)]\\\\= (1/2) * [0 + 10 + 80 + 270 + 320]\\\\= (1/2) * 680\\\\= 340\)
Simpson's Rule:
Using n = 4, we divide the interval [0, 4] into four subintervals of equal width: h = (4 - 0) / 4 = 1.
The approximated value using Simpson's Rule is given by:
\(S_4 = (h/3) * [f(x_0) + 4f(x_1) + 2f(x_2) + 4f(x_3) + f(x_4)]\)
Plugging in the values:
\(S_4 = (1/3) * [f(0) + 4f(1) + 2f(2) + 4f(3) + f(4)]\\\\= (1/3) * [5(0)(0^2) + 4(5)(1)(1^2) + 2(5)(2)(2^2) + 4(5)(3)(3^2) + 5(4)(4^2)]\\\\= (1/3) * [0 + 20 + 40 + 360 + 320]\\\\= (1/3) * 740\\\\= 246.6667\)
Exact value of the definite integral:
∫[0, 4] 5x * \(x^2\) dx = [(5/4) * \(x^4\)] evaluated from 0 to 4
\(= (5/4) * 4^4 - (5/4) * 0^4\\\\= (5/4) * 256 - (5/4) * 0\\\\= 320 - 0\\\\= 320\)
Comparing the results:
Exact value of the definite integral = 320
Trapezoidal Rule approximation (n = 4) = 340
Simpson's Rule approximation (n = 4) ≈ 246.6667
As we can see, the Trapezoidal Rule approximation is slightly greater than the exact value, while Simpson's Rule approximation is less than the exact value.
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could you guys simply these!! I need help asap! :)
Answers
Answer:
Step-by-step explanation:
1. 7x+7
2. 2y+5
Not sure about 3 or 4
5. 11x
6.5x+7
7.10x-9y
8. 5x+5y
Not sure about 9
10. 4x+4
Answer:
7x+7
2y+5
6x^2+3y
5a^3+4a^2+3a (This one is the same because none of the terms are alike)
11x
5x+7
10x-9y
5x+5y
x^2+6x
4x+4
Step-by-step explanation:
Combine like terms for all of these, meaning adding or subtracting anything that has the same variable or power of a variable attached to it.
A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mode?
Answers
Answer:
56
Step-by-step explanation:
The mode of a data set is the number that appears the most, which in this situation would be 56
:D
Suppose the sides of a pendant are 18 mm long. what is the height of the pendant to the nearest tenth of a millimeter?
I need the answer and explanation for this question.
Answers
Answer is 20.8 mm long check image for full explanation
5 1. limit 4 Determine if the sequence {an} converges, and if it does, find its limit when 3 n5 – 5 n3 + 2 2 n4 + 4n2+1 an = 2. limit Neo 3 2 3. the sequence diverges 4. limit = 0 5. limit = 2
Answers
Answer are:
1. The sequence converges.
2. The limit is 0.
3. N/A, since the sequence converges.
4. N/A, since the limit is not 0.
5. N/A, since the limit is not 2
To determine if the sequence {an} converges, we need to find its limit. Let's first look at the expression for an:
an = (3n^5 – 5n^3 + 2) / (2n^4 + 4n^2 + 1)
We can simplify this expression by dividing each term by n^4:
an = (3/n^1 – 5/n^3 + 2/n^5) / (2 + 4/n^2 + 1/n^4)
As n approaches infinity, all the terms with powers of n in the denominator approach 0, so we can simplify the expression further:
an ≈ 3/(2n^4) = 3/2n^4
This means that the sequence {an} converges to 0, since the terms get smaller and smaller as n gets larger.
So the answers are:
1. The sequence converges.
2. The limit is 0.
3. N/A, since the sequence converges.
4. N/A, since the limit is not 0.
5. N/A, since the limit is not 2.
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1.2 as a fraction with a denominator of 8
Answers
Alan has a guessing game on his computer.
He estimates that the probability of winning each game is 0.35
Alan decides to play 20 of these games.
How many of these games should he expect to win?
Answers
Answer:7
Step-by-step explanation:
100/20 = 5
35/5 = 7
PLEASE HELP ME. NO PHONY ANSWERS TY, ANSWER IF YOUR 100% RIGHT!
A sample of 317 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified
according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table bel
Biology Business Engineering Mathematics
Computer science
Female 17
22
27
36
41
Male
19
45
29
34
47
Among all the students in the sample, what is the relative frequency of female mathematics majors?
Round your answer to two decimal places.
0
X
?
Answers
The relative frequency of female mathematics majors will be 0.5142.
How to find the relative frequency?The proportion of the examined subgroup's value to the overall account is known as relative frequency.
A sample of 317 students at a university is surveyed.
The students are classified according to gender (“female” or “male”).
The table is given below.
Then the relative frequency of female mathematics majors will be
⇒ 36 / (36 + 34)
⇒ 36 / 70
⇒ 0.5142
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Directions: Determine the area of the shaded region of each figure. The polygons in each problem are regular polygons. You must include your calculations.
Answers
Problem 1
Imagine placing the nonpencil part of your compass at the center of both hexagons. Extend the compass so the pencil reaches the right-most point on the larger hexagon. Then sweep a full 360 degrees to form a circle. This surrounds the larger hexagon to form what is called the circumcircle. The circumradius is 6+6 = 12 feet.
If we know the circumradius r = 12 and the number of sides n = 6, then we can find the area of the larger regular hexagon using this formula
\(A = 0.5n*r^2*\sin(360/n)\)
Your calculator must be in degree mode. This formula only works for regular polygons.
Let's use that formula to calculate the area of the larger regular hexagon.
\(A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*12^2*\sin(360/6)\\\\A \approx 374.122974\)
Then do the same for the smaller regular hexagon that has circumradius of r = 6 this time. We still have n = 6 sides.
\(A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*6^2*\sin(360/6)\\\\A \approx 93.530744\)
Now subtract the areas
374.122974-93.530744 = 280.59223
The green region has an area of roughly 280.59223 square feet.=========================================================
Problem 2
The formula we use here is
\(A = 0.25n*s^2*\cot(180/n)\)
where
n = number of sides = 5 in this case for both figuress = side length = will be different values depending on which figure you focus on"cot" refers to the cotangent function, which is the reciprocal of tangent. Your calculator should support cotangent. If not, then you'd have to do 1/tan of the value of 180/n. In this case, n = 5 so 180/n = 180/5 = 36. So you either calculate cot(36) or 1/tan(36)Your calculator must be in degree mode.This formula only works on regular polygons. These are polygons with the same side lengths and same angles.Let's use that formula to calculate the area of the larger regular pentagon. It has side lengths of s = 8
\(A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*8^2*\cot(180/5)\\\\A = 0.25*5*8^2*\cot(36)\\\\A = 0.25*5*8^2*\frac{1}{\tan(36)}\\\\A \approx 110.110554\\\\\)
The larger regular pentagon has area of roughly 110.110554 square cm.
Repeat those steps for the smaller pentagon where each side is now s = 6. Keep n = 5 the same.
\(A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*6^2*\cot(180/5)\\\\A = 0.25*5*6^2*\cot(36)\\\\A = 0.25*5*6^2*\frac{1}{\tan(36)}\\\\A \approx 61.937186\\\\\)
Now subtract the two areas to get the area of the shaded green region.
110.110554 - 61.937186 = 48.173368
The green region has area of roughly 48.173368 square cm.Help please with problem 2 I will mark brainliest
Answers
Answer:
During the rapid diagnostic test of coronavirus among 250 people 96% were found negative .how many people were found negative
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answers
y2 – 5y = 750
750 – y(y – 5) = 0
(y + 25)(y – 30) = 0
1.3.19
The selling price of a refrigerator, is $677.50. If the markup is 25% of the dealer's cost, what is the dealer's cost of the refrigerator?
Answers
Answer: $542
Step-by-step explanation:
Given the following :
Selling price of refrigerator = $677.50
Markup = 25% of dealers' cost
Dealers' cost of refrigerator =?
Selling price = Dealers' cost + markup
Markup = 25% of dealers' cost
Let dealers' cost = d
Hence,
Selling price = d + 25% of d
Selling price = d + 0.25d
Selling price of refrigerator = $677.50
Then,
$677.50 = d + 0.25d
$677.50 = 1.25d
d = $677.50 / 1.25
d = $542
A monopolistically competitive firm is currently producing 30 units of output. At this level of output, the firm is charging the highest price it can at $30, has marginal revenue equal to $15, has marginal cost equal to $15, and has average total cost equal to $25. From this information, we can infer that:_____.a. the firm is earning zero profit. b. the firm is currently maximizing its profit. c. the profits of the firm are negative. d. firms are likely to leave this market in the long-run.
Answers
we can infer that the firm is currently maximizing its profit. Option (b), "the firm is currently maximizing its profit," is the most appropriate inference from the provided data.
To determine whether the firm is maximizing its profit, we need to analyze the relationship between marginal revenue (MR), marginal cost (MC), and price. In a monopolistically competitive market, firms aim to maximize their profit by producing at a level of output where MR equals MC.
From the information provided, we know that the firm's marginal revenue is equal to $15 and marginal cost is also equal to $15. This indicates that the firm is producing at the level where its marginal revenue equals its marginal cost, which is a characteristic of profit maximization.
Additionally, we are told that the firm is charging the highest price it can at $30. This means that the firm is able to set its price above its average total cost, resulting in a positive difference between price and average total cost, known as economic profit.
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Two blueberry farms are similar in shape. The ratio of the side lengths of the farms is 4 : 5, and the smaller farm has a perimeter of 280 yards. The cost to dig a trench is $0.75 per yard. What is the cost to dig a trench around the larger blueberry farm?
Answers
Answer: $262.50
Step-by-step explanation:
The yards are sized in a ratio of 4:5.
Assuming the perimeter of both farms is x, the formula to calculate it will be;
\(\frac{4}{4 + 5} x = 280\\\\x = 280/\frac{4}{9} \\\\x = 630 yards\)
The perimeter of the larger fence will therefore be;
= 630 - 280
= 350 yards
The cost to dig the trench will be;
= 350 * 0.75
= $262.50
What is the image of M(11,-4) using the translation (x,y) →x-17, y + 2?
A. M'(-6,-2)
B. M'(6,2)
C. M'(-11,4)
D. M'(-4,11)
Answers
Answer:
https://cdn.kutasoftware.com/Worksheets/PreAlg/Reflections%20of%20Shapes.pdf
Step-by-step explanation:
pls search this
Answer:
A. M'(-6,-2)
Step-by-step explanation:
Which graph shows the solution to this system of linear inequalities?
y> -2x+2
y<2x-1
Answers
Answer:
I attached a link:)
Step-by-step explanation:
https://www.mathpapa.com/algebra-calculator.html?q=y%3E-2x%2B2
Answer:
(-1,0) and (0,2) for y>2x+2
(½,0) and (0,-1) for y<2x-1
Step-by-step explanation:
it can be done by two ways 1 , table
2 , x and y intercept
but there is no change in answer or solution set
please mark me as brainliest
thanks for asking
Answer this question to get 10 pts!
Answers
Answer:
10x8=80 not 800 the answer should be
Step-by-step explanation:
5x8=40
5x50=250
10x8=80 not 800
10x50=500
500+250=750
750+40=790
790+80=870