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= 54.3 words, s= 16.5 words. Given that this dictionary has 1486 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 47.1 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 47.1 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 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= 54.3 words, s= 16.5 words. Given that this dictionary has 1486 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 47.1 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 47.1 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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.
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 = 54.3 words, s= 16.5 words, Given
that this dictionary has 1486 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 47.1 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 47.1 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?
O A. Ho: H= 47.1 words
O B. Ho: H= 47.1 words
H,: µ> 47.1 words
H,:µ#47.1 words
O C. Ho: H= 47.1 words
O D. Ho: H> 47.1 words
H,:µ<47.1 words
H,: µ<47.1 words
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