Independent sample t -test.
A sample of 10 urgent and non-urgent patients was conducted to determine average wait time. The hospital wants to be sure that urgent patients do not wait as long as non-urgent patients. The following hypotheses have been formulated:
H0: waiting times of urgent patient are equal to or greater than non-urgent patients.
Ha: waiting times of urgent patient are less than non-urgent patients.
|
Person
|
Non-Urgent
|
Urgent
|
|
1
|
99
|
19
|
|
2
|
27
|
28
|
|
3
|
40
|
30
|
|
4
|
2
|
39
|
|
5
|
54
|
22
|
|
6
|
69
|
15
|
|
7
|
19
|
20
|
|
8
|
36
|
36
|
|
9
|
79
|
13
|
|
10
|
39
|
33
|
A. What is the mean waiting time for urgent patients?
B. What is the standard deviation for the waiting times of urgent patients?
C. What is the test statistic, t?
D. Should you accept or reject the null hypothesis?
E. What is the test statistic, F?
F. Are there equal variances between the two groups of patients?