Problem 5: An engineer wants to test whether the mean diameter of pencils has increased above 0.95 cm. Sample data has given a sample standard deviation of 0.18 cm. A random sample of 36 pencils is selected. A level of significance of 0.05 is chosen.
Part A: State the null hypothesis.
Part B: State the alternative hypothesis.
Part C: What technique is used to test the claim?
Part D: What test statistic is used to test the claim?
Part E: Determine the critical point(s).
Part F: If the sample mean equals 0.99 cm, what statistical decision is made?
Part G: Interpret the statistical decision in Part F.
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