Question

The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following information on the amounts earned last week by a sample of school teachers and nurses.

School Teachers ($)	1,095	1,076	1,077	1,125	1,034	1,059	1,052	1,070	1,079	1,080
Nurses ($)	1,091	1,140	1,071	1,021	1,100	1,109	1,075	1,079

Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the 0.01 significance level. Hint: For the calculations, assume the nurses as the first sample.

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1. Is this a one-tailed or a two-tailed test?

• One-tailed test

• Two-tailed test

2. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

3. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

4. What is your decision regarding H₀?

• Reject H₀

• Do not reject H₀

5. What is the p-value?

• Greater than 0.1.

• Between 0.01 and 0.1.

• Between 0.001 and 0.01.

• Less than 0.001.

Answer 1

mean and standard deviation for school teacher's

mean and standard deviation for nurse's

Hypothesis testing

a)

one tailed test

b)

less than,-2.583

c)

d)

Do not reject H0

e)

Greater than 0.1.