The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard

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The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A random sample of 25 rods has an average diameter of 0.5046 in.
(a) Test the hypothesis that mean rod diameter is 0.5025 in. Assume a two-sided alternative and use = 0.05.
(b) Find the P-value for this test.
(c) Construct a 95% two-sided confidence interval on the mean rod diameter.
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