Hypothesis Testing — Quiz Answers

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The College Board states that the average math SAT score is 514 with a standard deviation of 117 Colleen gathered data from 50 students in her graduating class and found the average score to be 523 She thinks that her class’s math SAT score is different from the average. Which of the following are the correct null hypothesis and alternate hypothesis?

A
ratio of cap h sub 0 to mu is equal to 514 ; ratio of cap h sub A to mu is greater than 514
B
ratio of cap h sub 0 to mu is not equal to 514 ; ratio of cap h sub A to mu is equal to 523
C
ratio of cap h sub 0 to mu is equal to 514 ; ratio of cap h sub A to mu is not equal to 514
D
ratio of cap h sub 0 to mu is equal to 514 ; ratio of cap h sub A to mu is equal to 523
3

A recent survey of 8 comma 000 high school students found that the mean price of a prom dress was 195 point 0 0 dollars with a standard deviation of 12 point 0 0 dollars Alyssa thinks that her school is more fashion conscious and that students spent more than ​$⁢195.00 She collected data from 20 people in her high school and found that the average price spent on a prom dress was 208 point 0 0 dollars Which of the following are the correct null hypothesis and alternate hypothesis?

A
ratio of cap h sub 0 to mu is equal to 195 ; ratio of cap h sub A to mu is greater than 195
B
ratio of cap h sub 0 to mu is less than 195 ; ratio of cap h sub A to mu is greater than or equal to 208
C
ratio of cap h sub 0 to mu is equal to 195 ; ratio of cap h sub A to mu is not equal to 195
D
ratio of cap h sub 0 to mu is not equal to 195 ; ratio of cap h sub A to mu is equal to 208
4

A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5 percent Which conclusion could he make?

A
The z -statistic is 0 point 2 2 , so the null hypothesis should not be rejected.
B
The z -statistic is 3 point 3 2 , so the null hypothesis should be rejected.
C
The z -statistic is 3 point 6 7 , so the null hypothesis should be rejected.
D
The z -statistic is 1 point 6 9 , so the null hypothesis should not be rejected.
7

Zachary completes a hypothesis test and finds that he rejects the null hypothesis. Which statement gives a reason for rejecting the null hypothesis?

A
The z -statistic is greater than 0 .
B
The z -statistic lies in the critical region.
C
The z -statistic lies outside the critical region.
D
The z -statistic is less than 0 .
8

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2 point 7 hours with a standard deviation of 0 point 2 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 40 football teammates and found the mean to be 2 point 3 Which of the following are the correct null and alternate hypotheses?

A
ratio of cap h sub 0 to mu is not equal to 2 point 7 ; ratio of cap h sub A to mu is equal to 2 point 3
B
ratio of cap h sub 0 to mu is equal to 2 point 7 ; ratio of cap h sub A to mu is not equal to 2 point 7
C
ratio of cap h sub 0 to mu is less than 2 point 7 ; ratio of cap h sub A to mu is greater than or equal to 2 point 3
D
ratio of cap h sub 0 to mu is greater than or equal to 2 point 7 ; ratio of cap h sub A to mu is less than 2 point 7

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