Question

Ben and Jerry’s Ice Cream is producing a limited edition flavor “Strokes for Folks” and only...

Ben and Jerry’s Ice Cream is producing a limited edition flavor “Strokes for Folks” and only 1000 pints will be produced and sent to markets mainly in the southern U.S. The company wants to ensure that the fat content is at least 21%, To test the hypothesis that the mean is 21% against the alternative that the fat content exceeds this value, a random sample of 5 pints was tested, resulting in an average fat content of 22% with a standard deviation of 0.42%

a. State the hypothesis test, including null and alternative hypotheses. What can be concluded at the .05 level of significance?

b.Sketch the distribution of   considering the null hypothesis is true. State the value of the standard deviation that corresponds to this distribution.

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