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 equals 20,x overbar equals 58.9 words, s equals 16.8 words. Given that this dictionary has 1472 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 47.6 words. Use a 0.05 significance level to test the claim that the mean number of words per page is greater than 47.6 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 statistic. (Round to two decimal places as needed.) B. Determine the P-value. (Round to three decimal places as needed.)
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 equals 20,x overbar equals 58.9 words, s equals 16.8 words. Given that this dictionary has 1472 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the
(Round to three decimal places as needed.)
Step by step
Solved in 4 steps with 2 images
