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. H,: µ> 47.4 words O B. Ho: H= 47.4 words H1: u< 47.4 words H: u# 47.4 words C. Ho: u= 47.4 words O D. Ha: u= 47.4 words H1: p> 47.4 words H1:µ< 47.4 words Determine the test statistic. 1.86 (Round to two decimal places as needed.) Determine the P-value. |(Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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= 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. Ho: µ> 47.4 words
O B. H,: µ= 47.4 words
H1: µ< 47.4 words
H: u# 47,4 words
O D. H,: µ= 47.4 words
H1: µ< 47.4 words
C. Ho: H= 47.4 words
H1: µ> 47.4 words
Determine the test statistic.
1.86 (Round to two decimal places as needed.)
Determine the P-value
(Round to three decimal places as needed.)
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 A. Ho: µ> 47.4 words O B. H,: µ= 47.4 words H1: µ< 47.4 words H: u# 47,4 words O D. H,: µ= 47.4 words H1: µ< 47.4 words C. Ho: H= 47.4 words H1: µ> 47.4 words Determine the test statistic. 1.86 (Round to two decimal places as needed.) Determine the P-value (Round to three decimal places as needed.)
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