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.

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Mathematics

Mercedes Mathews

7 May, 09:49

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.

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Lia Rubio · 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.