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Chapter 11: Q.66 (page 658)

What is the test statistic?

Short Answer

Expert verified

The value of the test statistic is42.17.

Step by step solution

01

Given Information

The average waiting time in a doctor鈥檚 office varies. The standard deviation of waiting times in a doctor鈥檚 office is 3.4 minutes. A random sample of 30 patients in the doctor鈥檚 office has a standard deviation of waiting times of 4.1 minutes.

02

Explanation

We have to find the test statistic:

Here, we observed that

n=30

s=4.1

蟽=3.4

Let's find the null hypothesis and alternative hypothesis

Null hypothesis: H0:蟽2=3.42

Alternative hypothesis: Ha:蟽2>3.42

Then, compute the degrees of freedom:

n-1

=30-1

=29

We can compute the test statistics by using the given formula

localid="1648703739753" Teststatistic=(n-1)s2蟽2

=(29-1)(4.1)2(3.4)2

=29脳16.8111.56

=42.17

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