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= 57.1 words, s= 16.5 words. Given that this dictionary has 1477 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 47.4 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 47.4 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. Ha: H> 47.4 words O B. H,: = 47.4 words H: p# 47.4 words H:p<47.4 words C. H: = 47.4 words O D. Ho: u= 47.4 words H: u< 47.4 words H,: p> 47.4 words Determine the test statistic. 1.86 (Round to two decimal places as needed.) Determine the P-value. 0.048 (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Họ. There is evidence to support the claim that there 70,000 defined words in the dictionary.
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= 57.1 words, s= 16.5 words. Given that this dictionary has 1477 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 47.4 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 47.4 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. Ha: H> 47.4 words O B. H,: = 47.4 words H: p# 47.4 words H:p<47.4 words C. H: = 47.4 words O D. Ho: u= 47.4 words H: u< 47.4 words H,: p> 47.4 words Determine the test statistic. 1.86 (Round to two decimal places as needed.) Determine the P-value. 0.048 (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Họ. There is evidence to support the claim that there 70,000 defined words in the dictionary.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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= 57.1 words, s = 16.5 words. Given that this dictionary has 1477 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 47.4 words. Use a 0.01 significance level to test the claim that the mean
number of words per page is greater than 47.4 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 B. H,: µ= 47.4 words
H: µ# 47.4 words
O A. Ho: µ> 47.4 words
H,: µ< 47.4 words
C. Ha: H= 47.4 words
O D. H: µ= 47.4 words
H: µ> 47.4 words
H,: µ< 47.4 words
Determine the test statistic.
1.86 (Round to two decimal places as needed.)
Determine the P-value,
0.048 (Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
V Hn. There is
V evidence to support the claim that there
V 70,000 defined words in the dictionary.
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