A sample of 6 head widths of seals (in cm) and the corresponding weights of the seals (in kg) were recorded. Given a linear correlation coefficient of 0.948, find the corresponding critical values, assuming a 0.01 significance level. Is there sufficient evidence to conclude that there is a linear correlation?
Answers
Answer:
We conclude that there is not a linear correlation.
Step-by-step explanation:
We are given that a sample of 6 head widths of seals (in cm) and the corresponding weights of the seals (in kg) was recorded.
Given a linear correlation coefficient of 0.948.
Let ρ = population correlation coefficient.
So, Null Hypothesis, \(H_0\) : ρ = 0 {means that there is a linear correlation}
Alternate Hypothesis, \(H_A\) : ρ \(\neq\) 0 {means that there is not a linear correlation}
The test statistics that would be used here One-sample t-test statistics for testing population correlation coefficient;
T.S. = \(\frac{r \times \sqrt{n-2} }{\sqrt{1 -r^{2} } }\) ~ \(t_n_-_2\)
where, r = sample correlation coefficient = 0.948
n = sample of head widths of seals = 6
So, the test statistics = \(\frac{0.948 \times \sqrt{6-2} }{\sqrt{1 -0.948^{2} } }\) ~ \(t_4\)
= 5.957
The value of t-test statistics is 5.957.
Now at 0.01 level of significance, the t table gives a critical value of 4.604 at 4 degrees of freedom for a two-tailed test.
Since our test statistics is more than the critical value of t as 5.957 > 4.604, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that there is not a linear correlation.
Related Questions
What is the slope, m, and the y-intercept of the line that is graphed below?
Answers
Answer:
A
Step-by-step explanation:
The slope is 1 and you know it’s positive because it goes to the top right.
the y intercept is where the line goes through the y axis. So it’s 3. And the cordinate is (0,3) because (x,y).
Answer:
The answer is A
Step-by-step explanation:
5. A hat contains 13 tickets with numbers 1 to 13 on them. If two tickets are drawn from the hat
without replacement. Find the probability that they are both odd numbers.
Answers
Answer:
3.5
Step-by-step explanation:
the original probability is 7/6 favoring odd
took a photo to use
Answers
Answer:
x=9
<A=23
<B= 69
Step-by-step explanation:
1. 2x+5+3(2x+5)=92 2. 2x+5+6x+15=92 3. 8x+20=92 4. 8x=72 5. x=9
<A= 2(9)+5=18+5=23
<B= 3(2(9)+5)=3(23)=69
4y + 7 - y + 2 Generate an equivalent expression
Answers
Answer:
Step-by-step explanation:
Using the example 2x(3y + 2) will make it easier to walk through the process. Distribute the multiple 2x throughout the rest of the equation.
1) Mrs. Clason wants to buy a wireless speaker for her husband. She has narrowed down her choice to two stores:
• Kohls is selling the speaker for $60.00. Mrs. Clason has a Friends and Family discount coupon for 30% off.
• Target purchased the speaker for $38.00 and marked it up by 35% to sell in the store
2) How much would Mrs. Clason be paying for the speaker at Kohl’s? Show your work!
3) Which store would Mrs. Clason get the best deal and by how much is it better? Show
How much would Mrs. Clason pay for this speaker at Target? Show your work
Answers
Answer:
Kohl = $42
Target = $51.30
Best deal is at Kohl's
Step-by-step explanation:
Given ;
At Kohl's:
Selling price = $60
Friend's and family discount = 30% off
(100 - 30)% * $60
0.7 * 60 = $42
At target :
Purchase price = $38
Markup = 35%
Selling price = (100 + 35)% * $38 = 1.35 * 38 = $51.3
Mrs. Clason will get the best deal at Kohl's.
Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
Answers
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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please help me answer this question thank you
Answers
Answer:
A
Step-by-step explanation:
Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?
Answers
Answer:
the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line
Answer:
THE LINE WOULD MOVE UP 5 UNITS
Step-by-step explanation:
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
Answers
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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Find the volume in cm³ of a length of pipe which has these measurements.
Volume of a cylinder = πr²h
π = 3.14
Answers
WILL GIVE BRAINLISES
The coordinate 1 has a weight of 4, and the coordinate 4 has a weight of 2. Find the weighted average.
Answers
Answer: 3
Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.
Answer: its 2
Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2
The GCF of 12 and 28 is _____.
Answers
greatest common factor 12 and 28 is 4
The greatest common factor (GCF) of 12 and 28 is 4.
To find the GCF, you can determine the factors of both numbers and identify the greatest common factor they share.
As we know that a factor is a number that entirely divides another number.
To put it another way, any two integers that multiply to generate a result are factors of the result.
For 12, the factors are 1, 2, 3, 4, 6, and 12.
For 28, the factors are 1, 2, 4, 7, 14, and 28.
The common factors of 12 and 28 are 1, 2, and 4.
Among them, the greatest common factor is 4.
Therefore, the GCF of 12 and 28 is 4.
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Question 9 of 30 Find the surface area of the polyhedron below. The area of each base is 65 cm2 7 cm 2 cm 12 cm 2 cm 2cm 3 cm 4 cm
Answers
The approach is to find the area of the individual sides and add all up
Besides the base, we can identify about 6 rectangles.
area of a rectangle, A = base x height
\(\begin{gathered} \text{All the rectangles have a height of 12cm as se}en\text{ in the diagram,} \\ \text{Therefore area is area of 2 bases + area of rectangles.} \end{gathered}\)\(\begin{gathered} =2(65)\text{ + (4}\times12\text{)+(3}\times12\text{) +(2}\times12\text{)+(2}\times12\text{)+(2}\times12\text{)+(7}\times12\text{)} \\ =130+\text{ 48 + }36\text{ + 24 + 24 + 24 + 84} \\ =370\text{ sq cm} \end{gathered}\)Witch equation shows 4n=2(t-3) solve for t?
Answers
A 6) Set both given equations equal to zero, then combine them into one standard form
equation. Simplify if possible.
7x + 3 = 5 and y-1 = 6
Answers
The equation in standard form is given by:
\(7x + y - 9 = 0\)
------------------
The general equation in standard form is:
\(Ax + By + C = 0\)
------------------
The first equation is:
\(7x + 3 = 5\)
Setting equal to zero:
\(7x + 3 - 5 = 0\)
\(7x - 2 = 0\)
------------------
The second equation is:
\(y - 1 = 6\)
\(y - 1 - 6 = 0\)
\(y - 7 = 0\)
------------------
Combining them, and placing in standard form:
\(7x - 2 + y - 7 = 0 + 0\)
\(7x + y - 9 = 0\)
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find sum of series: 1+2+3+...+n
Answers
Answer:
the sum of the this series is Sn = [n(n+1)] / 2
PLEASE HURRY⚠️⚠️
How do you find the length of an unknown leg in a right triangle?
Answers
Answer:
by measuring in feet
Step-by-step explanation:
its the easiest way to find what your looking for
Answer:
You can find the length of an unknown leg using the Pythagorean theorem
Step-by-step explanation:
\(a^2+b^2=c^2\)
or
\(c^2-a^2=b^2\)
or
\(c^2-b^2=a^2\)
note c = hypotenuse and b and a = legs
if you invest $550.00 and your annual interest is 4%, what will be the interest
Answers
The annual interest is $22.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Given;
Amount invested= $550
Annual interest= 4%
SI= 550*4*1/100
=5.5*4
=22
Therefore, the simple interest will be $22.
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A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3
Answers
Answer:
The best measure of center for a set of data is the median value.
To find the median list the values from
Smallest to largest:
0, 0, 1, 1, 2,2, 2, 14
Since there is an even number of values, find the middle two numbers, add them together and divide by 2:
1+2 = 3
3/2 = 1.5
The answer is median 1.5
Step-by-step explanation:
plz brain list
What meaning of the statement this?
Answers
Yes, The statement given in the problem is correct.As, <a> satisfies all three conditions- identify, Closure and inverse, it is a subgroup of G.
What is a subgroup in maths?A subgroup in mathematics is a subset of a group that, with regard to the same operation, is also a group. To put it another way, a subgroup is a smaller group that is a part of a bigger group.
Technically, let H be a subset of G and let G be a group that is subject to some operation (such as addition, multiplication, or composition). H is referred to be a subgroup of G if it forms a group on its own with regard to the same operation.
For given statement,
Let G is a group, and let a is the element of G. The set of all powers of a, denoted as<a>, is a subgroup of G, and it is the subgroup generated by a.
To show that <a> is a subgroup of G, we need to verify that it satisfies three conditions:
Identity: The identity element e of G is also in < a >, as \($a^0 = e$.\)Closure: For any two powers of \(a, $a^m$ and $a^n$, their product $a^m \cdot a^n$ is also in $\langle a \rangle$, as $a^m \cdot a^n = a^{m+n}$.\)Inverse: For any power of \(a, $a^n$, its inverse $a^{-n}$ is also in $\langle a \rangle$, as $a^{-n} = (a^n)^{-1}$.\)As, All the three conditions were satisfied by <a> , it is a subgroup of G
Moreover, it is the subgroup generated by a , as it is the smallest subgroup of G that contains a. This means that < a > includes all the powers of a, as well as their products and inverses, and nothing more.
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a hotel owner is deciding whether to buy new parts, hire a plumber, or allow no changes due to possible issues with the water pressure. to help make her decision, the data set lists the number of complaints about the water pressure at the hotel. for this data set, the minimum is 3, the median is 15, the third quartile is 16, the interquartile range is 4, and the maximum is 19. construct a box-and-whisker plot that shows the number of complaints. move the median first, then the first and third quartiles, and last the minimum and maximum.
Answers
A box-and-whisker plot shows the five-number summary of the data set, including the minimum value (3), first quartile (12), median (15), third quartile (16), and maximum value (19).
We know that the interquartile range is the third quartile minus the first quartile. The third quartile of the water pressure complaint data set is 16 and the interquartile range is 4, so the first quartile can be found by subtracting 4 from 16, which is 12.
The minimum value (3) is represented by the left end of the left whisker, the first quartile (12) is represented by the left edge of the box, the median (15) is represented by the line in the middle of the box, the third quartile (16) is represented by the right edge of the box, and the maximum value (19) is represented by the right end of the right whisker.
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At a local garden shop, the price of plants include sales tax. The cost of 4 large plants and 2 medium plants is $28.
Answers
Answer:
Ye
Step-by-step explanation:
A
a team of 15 workers cad do a job in 7 hours. How long would this work take if the team has 35 people?
Answers
Answer:
3 hours
Step-by-step explanation:
15 workers * 7 hours = 105 worker hours
105 worker hours / 35 workers = 3 hours
Write this ratio as a fraction in simplest form without any units. 6weeks to 48 days
Answers
Answer:
1/8
Step-by-step explanation:
RatioA contrast, which exists between two particular numbers, is defined as ratio.6 weeks to 48 days6 : 48Equivalent Ratios1 : 82 : 163 : 244 : 325 : 406 : 487 : 568 : 649 : 7210 : 8011 : 8812 : 9613 : 10414 : 11215 : 12016 : 12817 : 13618 : 14419 : 15220 : 16021 : 16822 : 17623 : 18424 : 19225 : 20026 : 20827 : 21628 : 22429 : 23230 : 24031 : 24832 : 25633 : 26434 : 27235 : 28036 : 28837 : 29638 : 30439 : 31240 : 32041 : 32842 : 33643 : 34444 : 35245 : 36046 : 36847 : 37648 : 38449 : 39250 : 40051 : 40852 : 41653 : 42454 : 43255 : 44056 : 44857 : 45658 : 46459 : 47260 : 48061 : 48862 : 49663 : 50464 : 51265 : 52066 : 52867 : 53668 : 54469 : 55270 : 56071 : 56872 : 57673 : 58474 : 59275 : 60076 : 60877 : 61678 : 62479 : 63280 : 64081 : 64882 : 65683 : 66484 : 67285 : 68086 : 68887 : 69688 : 70489 : 71290 : 72091 : 72892 : 73693 : 74494 : 75295 : 76096 : 76897 : 77698 : 78499 : 792100 : 800Convert to fraction
6:48 is 6/48 as a fraction. Now simplify.
1. Find the GCD (or HCF) of numerator and denominator
GCD of 6 and 48 is 6
Divide both the numerator and denominator by the GCD
6 ÷ 6/
48 ÷ 6
Reduced fraction:
1/8
Therefore, 6/48 simplified to lowest terms is 1/8.
Write the equation 2x^2-5x+4=12 in standard form
Answers
Answer:
\(2x^{2} -5x-8 =0\)
Step-by-step explanation:
Way to write standard form you need to move the variables with the highest degrees to the front. To do this with your problem you subtract 12 from both sides using the subtraction property of equality to give you the answer above in the form above.
Avery has $20 to spend on lunch. She buys two tacos for $1.25 each and a large soda for $1.75.
How much change should Avery get back from her $20 bill?
o
$17.00
$24.25
$16.25
$15.75
Answers
Answer:
$15.75 change
Step-by-step explanation:
Avery starts with $20.
She buys 2 tacos and 1 soda.
$1.25 + $1.25 + $1.75
= $4.25
$20 that she started with - $4.25 that she used.
$20 - $4.25 = $15.75
Answer:
15.75
Step-by-step explanation:
$20 - ($1.25 x 2) - $1.75 =
20 - 2.5 - 1.75 =
17.5 - 1.75 =
$15.75
I am struggling to find domain and range please help thank you
Answers
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
Answers
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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work out the size of angle x
Answers
Answer:
where?
Step-by-step explanation:
the pic
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
Answers
Answer:
321.50 dollars.
Step-by-step explanation:
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.
Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.
Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.
Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.