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 the claim that there are more than 70,000 defined words in 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