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=58.6 words, s=15.4 words. Given that this dictionary has 1490 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 47.0 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 47.0 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) What are the null and alternative hypotheses. b) Determine the test statistic. c) Determine the P-value. d) (reject/fail to reject). There is (sufficient/not sufficient) evidence to support the claim that there are (more than/fewer than/ are) 70,000 defined words in the dictionary.
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=58.6 words, s=15.4 words. Given that this dictionary has 1490 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the
a) What are the null and alternative hypotheses.
b) Determine the test statistic.
c) Determine the P-value.
d) (reject/fail to reject). There is (sufficient/not sufficient) evidence to support the claim that there are (more than/fewer than/ are) 70,000 defined words in the dictionary.
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