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Chapter 10: Q. 11 (page 596)

It is thought that teenagers sleep more than adults on average. A study is done to verify this. A sample of 16 teenagers has a mean of 8.9 hours slept and a standard deviation of 1.2. A sample of 12 adults has a mean of 6.9 hours slept and a standard deviation of 0.6.

Short Answer

Expert verified

The test is for unknown variances, population standard deviations, and or independent group means.

Step by step solution

01

Given information

Teenagers are thought to sleep more than adults on average. The average number of hours worked by 16 teenagers was 8.9, with a standard deviation of 1.2.

The mean for a group of 12 adults is 6.9 hours, with a standard deviation of 0.6.

02

The most appropriate hypothesis test for the supplied data.

Assuming average hours of sleep for teenagers as μT

Assuming an average of eight hours of sleepμA

The alternative and null hypothesis are as follows:

H0:μT=μAHa:μT>μA

This shows that this hypothesis test is for independent group means, population standard deviations, and or variances unknown.

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Most popular questions from this chapter

A study was conducted to investigate how effective a new diet was in lowering cholesterol. Results for the

randomly selected subjects are shown in the table. The differences have a normal distribution. Are the subjects’

cholesterol levels lower on average after the diet? Test at the 5%level.

SubjectABCDEFGHI
Before209210205198216217238240222
After199207189209217202211223201

Calculate the test statistic and p-value.

Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.

Is this a right-tailed, left-tailed, or two-tailed test? How do you know?

Use the following information to answer the next five exercises. A doctor wants to know if a blood pressure medication is effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1%significance level.

What is the conclusion?

Use the following information to answer the next five exercises. A doctor wants to know if a blood pressure medication is

effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects

have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1% significance level.

What is the test statistic?
See all solutions

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