. Each patient at a hospital is asked to evaluate the service at the time of discharge. Recently there have been several complaints that resident physicians and nurses on the surgical wing respond too slowly to the emergency calls of senior citizens compared to other patient groups. The administrator of the hospital asked the quality assurance department to investigate. After studying the problem, the quality assurance department collected the following sample information.

Question

. Each patient at a hospital is asked to evaluate the service at the time of discharge. Recently there have been several complaints that resident physicians and nurses on the surgical wing respond too slowly to the emergency calls of senior citizens compared to other patient groups. The administrator of the hospital asked the quality assurance department to investigate. After studying the problem, the quality assurance department collected the following sample information.
Patient type
Smaple mean
Sample                      standard deviation
Sample             Size
Senor Citizens
5.5 Minutes
0.40 minuets
50
Other
5.3 Minutes
0.30 minutes
100
 
Required: At the 0.01 significance level, is the response time longer for the senior citizens, emergencies?
A. Conduct hypothesis testing for the differences in the population means based on the two independent samples.
B. What is the p-value in this problem? Interpret it.