Question: Consider the following claim and test statistic:

Claim: The mean weight of American males is less than 170 pounds.

Sample values: sample mean = 168 lbs,

sample standard deviation = 3 lbs,

sample size = 25.

1. State the null and alternative hypotheses.
2. Determine the critical region.
3. Determine an approximate p-value using the t-distribution. Justify your reasoning
4. Using a significance level of a = 0.01, does your p-value lead to a "Reject Ho" decision or a "Fail to Reject Ho" decision? Justify your answer.

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