   # Are nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? As reported by the Tampa Tribune , salary data show staff nurses in Tampa earn less than staff nurses in Dallas. Suppose that in a follow-up study of 40 staff nurses in Tampa and 50 staff nurses in Dallas you obtain the following results. Tampa Dallas n 1 = 40 n 2 = 50 x ¯ 1 = $56 , 100 x ¯ 2 =$ 59 , 4 00 s 1 = $6000 s 2 =$7000 a. Formulate hypothesis so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are significantly lower than for those in Dallas. Use α = .05. b. What is the value of the test statistic? c. What is the p -value? d. What is your conclusion? 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 10.2, Problem 14E
Textbook Problem
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## Are nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? As reported by the Tampa Tribune, salary data show staff nurses in Tampa earn less than staff nurses in Dallas. Suppose that in a follow-up study of 40 staff nurses in Tampa and 50 staff nurses in Dallas you obtain the following results. Tampa Dallas n1 = 40 n2 = 50 x ¯ 1 =   $56 , 100 x ¯ 2 =$ 59 , 4 00 s1 = $6000 s2 =$7000 a. Formulate hypothesis so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are significantly lower than for those in Dallas. Use α = .05. b. What is the value of the test statistic? c. What is the p-value? d. What is your conclusion?

a.

To determine

Identify the null and alternative hypothesis.

### Explanation of Solution

Calculation:

The results form a study of 40 staff nurses in Tampa and 50 staff nurses in Dallas are as follows:

 Tampa Dallas n1=40 n2=50 x¯1=$56,100 x¯2=$59,400 s1=$6,000 s2=$7,000

And α=0

b.

To determine

Find the value of test statistic.

c.

To determine

Find the p-value.

d.

To determine

Obtain the conclusion.

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