Complete following hypothesis test: Ho: ? = 52, Ha: ? < 52, ? = 0.01 using the data below.
45
55
54
35
46
48
47
36
53
40
40
52
(a) Determine t. (Give your answer correct to two decimal places.)
(ii) Determine the p-value. (Give your answer correct to four decimal places.)
(b) Describe the appropriate conclusion.
Reject the null hypothesis, there isn't significant evidence that the mean is less than 52.
Reject the null hypothesis, there is significant evidence that mean is less than 52.
Fail to reject the null hypothesis, there isn't significant evidence that the mean is less than 52.
Fail to reject the null hypothesis, there is significant evidence that mean is less than 52.