SOLUTION: HYPOTHESIS TESTING: It has been claimed that Wits University’s male students generally differ in size to Wits University’s female students. In a study to establish whether this cl

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Question 900283: HYPOTHESIS TESTING:
It has been claimed that Wits University’s male students generally differ in size to Wits University’s female students. In a study to establish whether this claim is actually true, male and female students at the university were randomly selected, and their weights (in kg) recorded.
55 F 53 M
57 F 56 M
58 F 57 M
58 F 59 M
58 F 59 M
59 F 60 M
59 F 61 M
59 F 61 M
61 F 61 M
61 F 61 M
62 F 61 M
63 F 62 M
63 F 62 M
63 F 64 M
64 F 64 M
65 F 65 M
66 F 67 M
67 F 67 M
68 F 67 M
68 F
74 F
n:M=19 F=21
mean:M=61.42105263 F=62.28571429
variance:M=14.14619883 F=21.11428571
standard deviation:M=3.761143288 F=4.595028369
Use the appropriate tests to find out if there are any differences in size between male and female Wits students. State your reason for using the tests chosen. [Assume that the data comes from populations that are normally distributed]

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: u(M) = u(F)
Ha: u(M) ≠ u(F) (claim)
+t+=%2861.4211-62.2857%29%2Fsqrt%2814.1462%2F19%2B+21.1143%2F21%29+= -.65368
Degree of Freedom is 38
p-value = 2*P(t> -.65368 when df = 38) = 2*tcdf(-.65368,100,38) = 2(.2586)= .5172
Since the p-value is greater than 5%, fail to reject Ho.
Conclusion: No significant Difference in size between male and female Wits students according to this study