In: Statistics and Probability
In fall 2019, students in the 2 p.m. section of my Data Analysis class had an average height of 66.6 inches, while the average height in the 5 p.m. section was 64.6 inches. Are the average heights of the two sections significantly different at 10% level of significance? Assume the the standard deviation of both populations are unknown but equal. Here are the data:
2 pm 5 pm
69 68
70 72
66 67
63 68
68 69
70 67
69 61
67 59
62 62
63 61
76 69
59 66
62 62
62 62
75 61
62 70
72
63
a) What is the appropriate test you can use to test the claim?
b) What are the null and alternative hypotheses for this test?
c) What is your conclusion?