Test for the true population mean and using a 95% confidence level.
A sample of ten ER patients was directed to determine their average wait time and to compare this to the target wait time. The hospital needs to make sure that patients don't wait more than 35 minutes. Test the subsequent hypotheses using a 95% confidence level.
HO- wait time is less than or equal to 35 minutes
Ha- wait time is greater than 35 minutes
|
Person
|
Waiting Time
|
|
1
|
99
|
|
2
|
27
|
|
3
|
40
|
|
4
|
2
|
|
5
|
54
|
|
6
|
69
|
|
7
|
19
|
|
8
|
36
|
|
9
|
79
|
|
10
|
39
|
1) What is the mean waiting time?
2) What is the standard deviation for waiting times?
3) What is your test statistic, t?
4) What is the threshold that must be exceeded to reject H0?
5) What is the two tailed probability that you would observe this amount of difference among the sample mean and the hypothesized value?
6) What is the one tailed probability that you would observe this amount of difference among the sample mean and the hypothesized value?