Assume That a Simple Random Sample Has Been Selected from a Normally

question 21

Essay

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated.
Identify the null and alternative hypotheses, test statistic, critical value(s)or P-value (or range of P-values)as appropriate, and state the final conclusion that addresses the original claim.
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces)of the cereal in a random sample of 8 of its cereal packets are listed below. $$\begin{array} { l l l l l l l l } 14.6 & 13.8 & 14.1 & 13.7 & 14.0 & 14.4 & 13.6 & 14.2\end{array}$$ Test the claim at the 0.01 significance level.

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Definitions:

Absent

Not present in a specified place at a given time; lacking.

Arterial Ischemic Ulcer

A type of ulcer caused by poor blood flow to the arteries, typically resulting in tissue damage and sometimes seen in limbs.

Deep Vein Thrombophlebitis

A serious condition involving the formation of a blood clot within a deep vein, typically in the legs, which can lead to inflammation and potential complications if untreated.

Venous Stasis Ulcer

A type of ulcer that develops primarily on the lower legs, as a result of chronic venous insufficiency and poor blood circulation.