(Solved): Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-v ...

Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A simple random sample of 60 screws supplied by a certain manufacturer is obtained, and the length of each screw is measured. The sample mean is found to be $0.871\mathrm{in}$. Assume that the standard deviation of all such lengths is $0.014\mathrm{in}$, and use a 0.01 significance level to test the claim that the screws have a mean length equal to $7/8$ in (or 0.875 in), as indicated on the package labels. Do the screw lengths appear to be consistent with the package label? What are the null and alternative hypotheses? A. $\begin{array}{l}{H}_0:?=0.875\\ H_1:??=0.875\end{array}$ C. $\begin{array}{l}{H}_0:??=0.875\\ H_1:?=0.875\end{array}$ B. $\begin{array}{l}{H}_0:?=0.875\\ H_1:?<0.875\end{array}$ D. $\begin{array}{l}{H}_0:?=0.875\\ H_1:?>0.875\end{array}$ What is the value of the test statistic? $z=$ (Round to two decimal places as needed.) ${\mathrm{H}}_0$. There sufficient evidence to warrant rejection of the claim that the screws have a mean length equal to 0.875 in, as indicated on the package labels.