A recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9. The distribution of number of movies watched per month follows the normal distribution. A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?
Answers
Answer:
We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.
Step-by-step explanation:
We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.
A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.
Let \(\mu\) = mean number of movies watched by college students last month.
So, Null Hypothesis, \(H_0\) : \(\mu \geq\) 7.6 movies {means that college students watch higher or equal movies a month than high school students}
Alternate Hypothesis, \(H_A\) : \(\mu\) < 7.6 movies {means that college students watch fewer movies a month than high school students}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) ~ N(0,1)
where, \(\bar X\) = sample mean number of movies watched last month = 7.1
σ = population standard deviation = 0.9
n = sample of college students = 39
So, the test statistics = \(\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }\)
= -3.47
The value of z test statistics is -3.47.
Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.
Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that college students watch fewer movies a month than high school students.
Related Questions
show work if possible
Answers
Answer:
B. 14,525
Step-by-step explanation:
If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:
$35 x 415 = $14,525
Therefore, the answer is B. $14,525.
50 PONTS
Complete the following statements:
< A corresponds to <
< B corresponds to <
< C corresponds to <
Side CA corresponds to side?
Side BC corresponds to side?
Side AB corresponds to side?
Answers
Answer:
Step-by-step explanation:
1. j
2. k
3. L
4. Lj
5. kL
6. jk
PLS HELP MEE , WILL MARKTHE BRAINLIEST PLS
Answers
Step-by-step explanation:
hopefully it is visible and makes sense
:)
Answer:
x=67 degrees
y=63 degrees (vertically opposite angles)
z=32 degrees
Step-by-step explanation:
x=130-63(sum of 2 interior angles of a triangle is equal to the opposite exterior angle)
x=67 degrees
y=63 degrees (vertically opposite angles)
z+y+85=180
z+63+85=180
z+ 148 =180
z =32 degrees
Solve this:
A woman was 39years old when she gave birth to a pair of twins.12 years ago,she was twice as old as the sum of the ages of the twins put together.Find their present ages.
Answers
Answer:
woman =39years
twins 0year each since 12 years ago they were not yet born
Eight hot dogs at the baseball park cost $28. How much does one hot dog cost?
Answers
Answer:
The answer is 3.5
Step-by-step explanation:
When making lemonade from the frozen concentrate, the directions say to add 3 containers full of water to theconcentrated mix. What is the ratio of water to concentrate?
Answers
So, the question says you'll need three containers of water per concentrated mix. The ratio of water to concentrated mix will be:
3:1
In a certain chemical, the ratio of zinc to copper is 4 to 17 . A jar of the chemical contains 561 of copper. How many grams of zinc does it contain?
Answers
Answer:
7,293 if I am correct.
Hope this helps!
Newton pays for 5 pounds of pears thy cost $3.75 per pound. Descartes pays $15 for 5 pounds of apples. About how much more do the 5 pounds of pears cost than the 5 pounds of apples?
Answers
Answer:$3.75
Step-by-step explanation:
you first multiply 3.75 and 5 and you get 18.75 then you subtract 18.75 by 15 since he paid 15 for the apples so after subtracting you get $3.75
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
Answers
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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2. A discounted jacket costs $64. Mel used a discount coupon that decreased the price by 60%. What was the original price of the jacket? Show or explain your thinking.
Answers
Answer : $160
\(\begin{gathered} \text{Discounted jacket cost \$64} \\ \text{The discount coupon is reduced by 60\%} \\ \text{The reduced coupon is calulated as } \\ 100\text{ - 60 = 40\%} \\ Applying\text{ the formula} \\ part\text{ = whole x percentage} \\ \text{Let the original price be x} \\ \text{Part = discounted price = \$64} \\ \text{percentage = 40\%} \\ 64\text{ = x }\cdot\text{ }\frac{40}{100} \\ 64\text{ = x }\cdot\text{ 0.4} \\ 64\text{ = 0.4x} \\ \text{Divide both sides by 0.4} \\ \frac{64}{0.4}\text{ = }\frac{0.4x}{0.4} \\ x\text{ = \$160} \\ \text{The original price of the jacket is \$160} \end{gathered}\)
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answers
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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Please help me for 15 points
Answers
ITS THE FOURTH QUESTION
Answers
The surface areas of the figures are 336, 82 and 836
How to calculate the surface areasFrom the question, we have the following parameters that can be used in our computation:
The figures
For the triangular prism, we have
Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12
Surface area = 336
For the rectangular prism, we have
Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)
Surface area = 82
For the cylinder, we have
Surface area = 2π * 7 * (7 + 12)
Surface area = 836
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The surface area of the prisms are
1. 336 cm²
2. 82 m²
3. 836 cm²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
A prism is a solid shape that is bound on all its sides by plane faces.
The surface area of prism is expressed as;
SA = 2B +pH
where B is the base area , p is the perimeter and h is the height.
1. SA = 2B +ph
B = 1/2 × 6 × 8
= 24 m²
p = 6+8+10 = 24m
h = 12m
SA = 2 × 24 + 24 × 12
= 48 + 288
= 336 cm²
2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)
= 2( 6+21+14)
= 2( 41)
= 82 m²
3. SA = 2πr( r +h)
= 2 × 3.14 × 7( 7 + 12)
= 44( 19)
= 836 cm²
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The infant mortality rate (per 1,000 live births) for the 50 states and the District of Columbia has a mean of 6.98 and a standard deviation of 1.62. Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?
Answers
68% of states have an infant mortality rate between 5.36 and 8.60 percent.
What is the Empirical Rule?In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.
In this problem, we have that:
Mean = 6.98Standard deviation = 1.62Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?
\(\sf 5.36 = 6.98 - 1\times1.62\)
So, 5.36 is one standard deviation below the mean.
\(\sf 8.60 = 6.98 + 1\times1.62\)
So 8.60 is one standard deviation above the mean.
Therefore, by the Empirical Rule, 68% of states have an infant mortality rate between 5.36 and 8.60 percent.
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Find ZABD if ZABC = 121° in the given figure.
Answers
4x+21+3x-5=121
7x+16=121
x=15
angle ABD =4(15)+21=81
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answers
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
this fish eats 2 rocks and eats another 2 rocks how many rocks is it?
Answers
Answer:
2+2=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
slove the following systems of equations using any method. y= 3x + 7 , y= x- 9 , 3x- y= 1 , 7x + 2y = 37.
Answers
y=3× + 7 , y=×- 9 , 3×- 9 , 3×- y= 1 , 7× + 2y = 37.
100 multiply by 600 + 1000000=
Answers
Answer:
1060000
Step-by-step explanation:
just calculation does the job
Answer:
100 x 600=60,000 + 1,000,000= 1,060,000
Step-by-step explanation:
you take the 2 zeros after 100 and add them to the 600 then just add
hope this helps
i need help asap
than you!
Answers
The highest height for the daily rainfall were for 5 and 6 inches
How to Interpret Dot Plots?Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.
From the given dot plot, we see the number of times for each height of rainfall.
Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.
Thus, we conclude those were the highest heights for the daily rainfall.
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If f(x)=x^2 and g(x)= (square root of x)+2, what is (g(f(2))+f(1)?
Answers
Step-by-step explanation:
I am not sure that you typed it all correctly.
but based on what is written here
f(x) = x²
g(x) = sqrt(x) + 2
so, g(f(2)) + f(1) = g(2²) + 1² = g(4) + 1 = sqrt(4) + 2 + 1 =
= 2 + 2 + 1 = 5
Which of the following is the solution to ?
Answers
Answer:
Could you add more info?
Step-by-step explanation:
What is the function’s average rate of change from x=-1 to x=1
Answers
Answer:
The average rate of change of the function from x=-1 to x=1 is 6.
Step-by-step explanation:
The average rate of change of a function from x=-1 to x=1 is the change in the output of the function (y-value) divided by the change in the input of the function (x-value). In other words, it is the slope of the line connecting the two points (x=-1 and x=1).
Help plz it’s important
Answers
Answer: its B
Step-by-step explanation:
Answer:
B. (AC)²+(BC)² = (AB)²
Step-by-step explanation:
The Pythagorean Theorem is: a²+b²=c²
Using the lines given, we would get:
(AC)²+(BC)²=(AB)²
The answer that fits this is B. (AC)²+(BC)² = (AB)²
distance from point (4,5) to the line y=-3/2x+9/2
Answers
Answer
188
Step-by-step explanation:
What is the y-intercept of the function f(x) = 2 ^x?
A.27
B.2
C. 6
D. 1
Answers
Answer:
D
Step-by-step explanation:
the y- intercept is the value of y on the y- axis where the function crosses.
the function crosses the y - axis when x = 0
substitute x = 0 into f(x)
f(0) = \(2^{0}\) = 1
y- intercept is 1
1
2
5
6
7
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
1
6
1
3
2
3
5
6
Answers
Answer:
1/6
Step-by-step explanation:
3/6 for even 3/6*2/6-----1/2*1/3
chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105
Answers
Answer:
7 hours
Step-by-step explanation:
here,
270/18=105/x
x=(105*18)/270
x=7
Chau made $270 for 18 hours of work. At the same rate, Therefore Chau would have to work 7 hours at the same rate to make $105.
To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:
Let x be the number of hours Chau needs to work to make $105.
We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:
Rate = Total earnings / Number of hours
Rate = $270 / 18 hours
Rate = $15 per hour
Now, we can set up the proportion:
$15 per hour = $105 / x hours
To find x, we can cross-multiply:
$15 × x = $105
Now, solve for x:
x = $105 / $15
x = 7 hours
So, Chau would have to work 7 hours at the same rate to make $105.
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a container of water has 1/4 water and 1/3 oil. how much is the fraction of the empty space
Answers
The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.
The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.
To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.
The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:
1/4 + 1/3 = 3/12 + 4/12 = 7/12
To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12
Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.
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$16.20 per hour for 40 hours and time and a half for 8 hours. What is the total pay?
Answers
Answer:
Add 16.20+ 40+8
Step-by-step explanation: 16+20+40+8= 84