Question

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. It is claimed that it takes 10 minutes for non-senior patients to receive service. A researcher randomly selected 100 senior citizens and found that on average it took 12 minutes for the selected group of patients to receive proper medical response with the standard deviation of 6 minutes. At the 95% level of confidence can it be concluded that response time to emergency calls from senior citizens is longer than the other patients (use CI)?

a. Yes. Response time to emergency calls from senior citizens is longer.

b. No. Response time to emergency calls from senior citizens isn’t longer.

c. Both a and b are wrong.

d. None of the above.

Answer 1

The confidence interval is (10.82 , 13.12)

The confidence interval does not contain the null hypothesis value = 10

So we reject Ho.

Here Lower confidence limit = 10.82 is greater than null hypothesis value =10

so we can conclude that the mean service time for senior citizen is greater than 10

Answer:=   Yes. Response time to emergency calls from senior citizens is longer.