Testing a claim.

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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... < M + z*s
<br>is used for a confidence interval.
<br>When s is not known, we define the variance to be S^2= SUM(Xi-M)^2/N where Xi are sample values. Then we estimate the standard deviation: s = SQRT(S^2 / N) is used as an estimate of s. Whenever the standard deviation is estimated, the t-distribution rather than the normal (z) distribution should be used. The values of t are larger than the values of z. So confidence ...