Question

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.

Answer 1