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Hypothesis test

Please see sample problem in attachment.
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Consider the following hypothesis test

H0: mu1 - mu2 = 0

Ha: mu1 - mu2 =/ 0

The following results are for two independent samples taken from the two populations.

Sample 1 Sample 2

n1 = 80 n2 = 70

mu1 = 104 mu2 = 106

s1 = 8.4 s2 = 7.6

1. What is the value of the test statistic?
2. With alpha = .05, what is your hypothesis testing conclusion?

**Both the null hypothesis and the alternative hypothesis need to be stated**
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I need to have the work shown (IE formulas used, etc) so I can learn how to solve this type of problem through step by step solving process.

Thanks

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Solution Preview

Consider the following hypothesis test

H0: μ1 - μ2 = 0

Ha: μ1 - μ2 ≠ 0

The following results are for two independent samples taken from the two populations.

Sample 1 Sample 2

n1 = 80 n2 = 70

1 = 104 2 = 106

σ1 = 8.4 σ2 = 7.6

1. What is the value of the test statistic?
2. With α = .05, what is your hypothesis testing conclusion?

**Both the null hypothesis and the alternative hypothesis need to be stated**

The null hypothesis (H0: μ1 - μ2 = 0) is that the means of the two populations are ...

Solution Summary

The solution shows you how to set up and conduct the appropriate hypothesis test to compare the means of the two populations.

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