Use following problem to answer the following questions Ther

Use following problem to answer the following questions.

There have been complaints that resident physicians and nurses at the RWJ Hospital desk respond slowly to emergency calls from senior citizens who are medical patients. A researcher randomly selected 36 senior citizens and found that on average it took 10 minutes for this selected group of patients to receive proper medical response with standard deviation of 5 minute. Assuming that it takes 8 minutes for non-senior patients to receive the response, which method the researcher can use to check the claim?

A. hypothesis testing - z test for mean

B. hypothesis testing - z test for proportion

C. hypothesis testing - t test for mean

D. hypothesis testing - t test for proportion

If researcher conducts hypothesis testing, he has to consider:

A. one tailed test

B. two tailed test

C. one tailed test because sample size is large

D. two tailed test because sample size is large

What is the computed value of “test statistics” (either z or t) for this study?

A. 1.96

B. 1.66

C. 2.4

D. 0.83

E. None of the above

The P-value of this study is:

A. . 0.9918

B. 0.02

C. 0.025

D. 0.01

E. None of the above

Can we conclude that response time to emergency calls from senior citizens is longer than the other patients? Use level of significance of 0.02.

A. Yes. The response time to emergency calls from senior citizens is longer than the other patients.

B. No. The response time to emergency calls from senior citizens is not longer than the other patients.

C. The response time to emergency calls from senior citizens is less than the other patients.

D. None of the above

Solution

If researcher conducts hypothesis testing, he has to consider:

The z test statistic is:

(10-8)/5/sqrt 36

=2.4

The P-value of this study is:

0.9918