simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are​ found, with the results n=10​,x=56.7 ​words, s=15.5 words. Given that this dictionary has1433 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 than48.8 words. Use a0.05 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? Determine the test statistic. Determine the​ P-value. State the final conclusion that addresses the original claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are​ found, with the results n=10​,x=56.7 ​words, s=15.5 words. Given that this dictionary has1433 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 than48.8 words. Use a0.05 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?

Determine the test statistic.

Determine the​ P-value.

State the final conclusion that addresses the original claim.

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