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.1)Test the hypothesis that mean rod diameter is0.5025 in. Assume a two-sided alternative and use α=0.05.2)Find the P-value for this test. 3)Construct a 95% two-sided confidence interval on the mean rod diameter.

Complete Question

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The null hypothesis is rejected this means that

The 95% confidence interval is

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is

The population mean is

The null hypothesis is

The alternative hypothesis is

The test statistics is mathematically represented as

So the p-value from the z-table is mathematically represented as

seeing that

we reject the null hypothesis

The critical value of

obtained from the normal distribution table is

The margin of error is mathematically represented as

=>

=>

The 95% confidence level is mathematically represented as

=>

=>