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=60.5 words, s= 16.7 words. Given that this dictionary has 1422 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 49.2 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 49.2 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? OA. Ho H 49.2 words H₁ <49.2 words OC. Ho H 49.2 words H₁ 49.2 words Determine the test statistic. (Round to two decimal places as needed.). EX OB. Ho H H₁: OD. Ho H₁ 49.2 words 49.2 words >49.2 words <49.2 words

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Question 10
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=60.5 words, s=16.7 words. Given that this dictionary has
1422 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 49.2 words. Use a 0.10 significance
level to test the claim that the mean number of words per page is greater than 49.2 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?
OA. Ho H 49.2 words
H₁ <49.2 words
OC. Ho H 49.2 words
H₁
49.2 words
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Ho. There is
Fail to reject
Reject
evidence to support the claim that there
D
OB. Ho: H 49.2 words
H₁
#49.2 words
OD. Ho
H₁
>49.2 words
<49.2 words
70,000 defined words in the dictionary.
F11
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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=60.5 words, s=16.7 words. Given that this dictionary has 1422 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 49.2 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 49.2 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? OA. Ho H 49.2 words H₁ <49.2 words OC. Ho H 49.2 words H₁ 49.2 words Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is Fail to reject Reject evidence to support the claim that there D OB. Ho: H 49.2 words H₁ #49.2 words OD. Ho H₁ >49.2 words <49.2 words 70,000 defined words in the dictionary. F11 Backspace Next
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