Hypothesis Testing Using a P-Value

Signature Assignment #2

Roller Coasters The heights in feet of 36 randomly selected top-rated roller coasters are listed. Assume the population standard deviation is 71.6 feet. At = 0.05, is there enough evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet? (Source: POP World Media, LLC)

325	188	306	107	208	167	105	78	140
232	230	170	170	205	305	135	200	200
100	223	135	195	80	90	120	210	82
161	245	88	70	116	121	146	149	124

1. Express the null and alternative hypothesis in words and as mathematical expressions. Identify which one is the claim?

1. Compute the sample mean and test statistic z. Write out the formulas and show your work. Round off to two decimal places. (EQS)

1. Compute the P value and explain how it was found.(Round off to two decimal places.)

1. Decide whether to reject or fail to reject the null hypothesis and explain the decision.

1. Interpret the decision in the context of the original claim. (Critical Thinking)

1. In three to five sentences explain how and why hypothesis testing is used. Give an example (Communication)