Hypothesis testing for difference between two population means.
Two independent samples were taken from two populations with the following results:
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Sample 1
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Sample 2
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Sample size = 48
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Sample size = 39
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Mean = 15
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Mean = 11
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Population standard deviation = 1.8
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Population standard deviation = 2.9
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For the hypothesis test:
H0 : μ1 - μ2 ≤ 1
H0 : μ1 - μ2 > 1
a. What is the standard error of the difference between means?
b. What is the value of test statistic?