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# Evaluating Hypothesis Testing

Scenario: The manager of a package courier service believes that packages shipped at the end of the month are heavier than those shipped early in the month. As an experiment, he weighed a random sample of 20 packages at the beginning of the month. He found that the mean weight was 20.25 pounds and the standard deviation was 5.84 pounds. Ten packages randomly selected at the end of the month had a mean weight of 24.80 pounds and a standard deviation of 5.67 pounds. At the .05 significance level, we will test to see if we can we conclude that the packages shipped at the end of the month weigh more.
Questions:
- What is the alternate hypothesis?
- What is the critical value? (a.) 1.701, b.) 0.50, c.) 1.645, d.) 1.96
- What is the value of the test statistic? (a.) -2.03, b.) 11.75, c.) 2.03, d.) -11.05 What is the decision? (a.) Reject Ho, b.) Do not reject Ho, c.) Indeterminate, d.) Reject H1)
- What is the conclusion? (a.) evidence packages shipped at end of month weigh more, b.) no evidence packages shipped at end of month weigh more, c.) evidence packages weigh less, d.) no evidence of a difference in the mean weight).

#### Solution Preview

See the attached file.

Ho: µ(end)<=µ(early)
Ha: µ(end)>µ(early).
In other words, the alternate hypothesis is that the mean weight at the end of the money is larger ...

#### Solution Summary

The solution assists in evaluating hypothesis testing.

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