# Sample Mean

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A man sells chickens to a restaurant chain. He claims that the mean weight of the chickens is 4 pounds. At a significance level of 0.05 shall we reject the vendors claim? Set up the hypothesis test in standard form and then carry out the test.

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The solution addresses a man who sells chickens to a restaurant chain. He claims that the mean weight of the chickens is 4 pounds. At a significance level of 0.05 shall we reject the vendors claim? Set up the hypothesis test in standard form and then carry out the test.

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Let's assume that the vendor's samples are N chickens and the mean weight of samples is M pounds.

<br>Then H0: M = 4 against H1: M<>4

<br>We will construct the 95% confidence interval of the mean M. If 4 pounds falls within the interval, we can accept H0; if not, we reject it.

<br>To construct the confidence interval of 95%, we should calculate the standard deviation s first. When s is known, the formula:

<br>M - z*s < ...

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