A machine that produces ball bearings is set so that the average diameter is 0.47 inch. A sample of 10 ball bearings was measured with the results shown below.

$$\begin{array}{ccccccccccc} 0.48 & 0.44 & 0.5 & 0.52 & 0.47 \\ 0.44 & 0.49 & 0.46 & 0.48 & 0.46 \end{array}$$

Assuming that the standard deviation is 0.06 inch, can we conclude at the 8% significance level that the mean diameter is not 0.47 inch?

A. The value of the standardized test statistic:

Note: For the next part, your answer should use interval notation. An answer of the form $(-\infty, a)$ is expressed (-infty, a), an answer of the form $(b, \infty)$ is expressed (b, infty), and an answer of the form $(-\infty, a) \cup (b, \infty)$ is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test:

A. Reject $H_1$.
B. Reject $H_0$.
C. Do Not Reject $H_0$.
D. Do Not Reject $H_1$.