A sample of scores for men and women from an examination in Statistics 201 were:

Given that the null hypothesis and the alternative hypothesis
are:
H_{0}: μ_{m} 
μ_{w} = 5
H_{1}: μ_{m}  μ_{w} ≠
5
and using a 0.05 significance level conduct a ttest about a difference in population means:
a)  What is the correct decision rule?

b) Compute the pooled variance.
For full marks your answer should be accurate to at least four
decimal places.
Pooled variance: 0
c) Compute the value of the test statistic.
For full marks your answer should be accurate to at least three
decimal places.
Test statistic: 0
d)  What is your decision regarding H_{0}?

a)
Reject H_{0} in favour of H_{1} if the computed value of the statistic is less than 2.131 or greater than 2.131.
b)
pooled variance =212.0704
c)
test statistic =1.692
d) There is insufficient evidence, at the given significance level, to reject H_{0}.
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