As part of a study females ages 12-16 were asked to report their heights. Listed in C1 and C2 are a sample of their self-reported heights, along with their measured heights. Assume the differences are normally distributed. Is there sufficient evidence to claim that there is a difference between self-reported heights and measured heights? Use a 0.05 significance level.
a. State null and alternate hypotheses.







b. Find the P-value





c. Do you reject or fail to reject the null hypothesis?





d. How does your answer to part c effect the claim?
Reported Measured
57 60
64 64
66 65
63 59
61 61
67 62
67 73
70 76
67 65
69 70
61 68
65 66
64 60
68 67
58 57
62 62
65 65
60 58
64 65
69 69
68 66
68 65
63 60
68 75
65 65
66 64
63 64
63 66
66 68
67 67
65 68
67 68
68 64
64 64
66 68