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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 渭T

Assuming an average of eight hours of sleep渭A

The alternative and null hypothesis are as follows:

H0:渭T=渭AHa:渭T>渭A

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

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