A simple random sample of 10 pages from a dictionary is obtained and the number of defined words on each page is recorded. The sample mean is found to be 53.5 definitions per page and a standard deviation of 15.7 definitions per page. To support a claim that there are more than 70,000 defined words is the same as the claim that the mean number of defined words on a page is greater than 48.0. Use a 0.05 significance level to test this claim.

Question

Adriana Dickerson

Mathematics

12 April, 07:30

A simple random sample of 10 pages from a dictionary is obtained and the number of defined words on each page is recorded. The sample mean is found to be 53.5 definitions per page and a standard deviation of 15.7 definitions per page. To support a claim that there are more than 70,000 defined words is the same as the claim that the mean number of defined words on a page is greater than 48.0. Use a 0.05 significance level to test this claim.

+2

Answers (1)

Know the Answer?

Rohan · Answer 1

Fail to reject the null hypothesis; there is not sufficient evidence to support the claim that the mean number of defined words on a page is greater than 48.0.