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= 52.6 words, s = 15.9 words. Given that this dictionary has 1434 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 48.8 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 48.8 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.

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please help determine the test statistic AND P-value

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= 52.6 words, s = 15.9 words. Given that this dictionary has 1434 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 48.8 words. Use a 0.01 significance level to test the claim that the mean
number of words per page is greater than 48.8 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.
What are the null and alternative hypotheses?
A. Ho: μ = 48.8 words
H₁ μ>48.8 words
Ho: μ>48.8 words
H₁: μ< 48.8 words
Determine the test statistic.
(Round to two decimal places as needed.)
B. Ho: μ = 48.8 words
H₁: μ< 48.8 words
Ho: μ = 48.8 words
H₁:μ#48.8 words
Transcribed Image Text: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= 52.6 words, s = 15.9 words. Given that this dictionary has 1434 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 48.8 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 48.8 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. What are the null and alternative hypotheses? A. Ho: μ = 48.8 words H₁ μ>48.8 words Ho: μ>48.8 words H₁: μ< 48.8 words Determine the test statistic. (Round to two decimal places as needed.) B. Ho: μ = 48.8 words H₁: μ< 48.8 words Ho: μ = 48.8 words H₁:μ#48.8 words
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