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Chapter 10: Q. 29 (page 670)

According to sleep researchers, if you are between the ages of 12and 18years old, you need 9hours of sleep to be fully functional. A simple random sample of 28students was chosen from a large high school, and these students were asked how much sleep they got the previous night. The mean of the responses was 7.9hours, with a standard deviation of 2.1hours.

Which of the following is the test statistic for the hypothesis test?

(a)t=7.9-92.128

(b)t=9-7.92.128

(c)t=7.9-92.128

(d)t=7.9-92.127

(e)t=9-7.92.127

Short Answer

Expert verified

The test statistic for the hypothesis test is (a)t=7.9-92.128

Step by step solution

01

Given information

We are given that if you are between the ages of 12and 18years old.The mean of the responses was 7.9hours, with a standard deviation of 2.1 hours. We have to find the test statistic for the hypothesis test

02

Simplify

As we know,

t=X-渭0sn

Where,

渭0=9(Hypothesized claim)

X=7.9(Sample mean )

n=28(Sample size)

s=2.1(Sample standard deviation)

By putting the values in above formula

t=7.9-92.128

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