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

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. $\begin{array}{llllllll}14.6 & 13.8 & 14.1 & 13.7 & 14.0 & 14.4 & 13.6 & 14.2\end{array}$
Test the claim at the 0.01 significance level.