Question

A data set lists earthquake depths. The summary statistics are n=500​, x =5.77 ​km, s=4.75 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

a. Determine the test statistic.

b. Determine the P-value

2. A simple random sample of 20 pages from a dictionary is obtained. The numbers of words defined on those pages are​ found, with the results n=20, x =55.2 words, s=15.9 words. Given that this dictionary has 1422 pages with defined​ words, the claim that there are more than​ 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 49.2 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 49.2 words. What does the result suggest about the claim that there are more than​ 70,000 defined​ words? Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.

a. determine the test statistics

b determine P-value

Answer 1