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A sample of scores on an examination given in Statistics 201 are: Men Women 95 71 99 85 80 90 85 88 92 91 69


 

A sample of scores on an examination given in Statistics 201 are:


Men Women

95 71

99 85

80 90

85 88

92 91

69 70

89 98

70

78

Hint: For the calculations, assume the women as the first sample.


a.State the decision rule for 0.02 significance level:H0: f m;H1: f> m.(Round the final answer to 3 decimal places.)


RejectH0ift>=


b.Compute the pooled estimate of the population variance.(Round the final answer to 3 decimal places.)


Pooled estimate of the population variance=


c.Compute the value of the test statistic.(Round the final answer to 3 decimal places.)


Value of the test statistic=


d.At the 0.02 significance level, is the mean grade of the women higher than that of the men?


(Click to select)

Reject

Do not reject

H0. There is

(Click to select)

enough

not enough

evidence to conclude that the mean grade of the women ishigher than that of the men.


e.Calculate thep-value(Round the final answer to 4 decimal places.)


Thep-value is=

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