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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

#### Solution Preview

Consider the following hypothesis test

H0: &#956;1 - &#956;2 = 0

Ha: &#956;1 - &#956;2 &#8800; 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

&#963;1 = 8.4 &#963;2 = 7.6

1. What is the value of the test statistic?
2. With &#945; = .05, what is your hypothesis testing conclusion?

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

The null hypothesis (H0: &#956;1 - &#956;2 = 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.

\$2.19