A simple random sample of 20 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the resultsn 20, x= 59.7 words, 16.5 words. Given that this dictionary has 1470 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 47.6 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 47.6 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? A Ho: 47.6 words Hy: >47.6 words OC. H:476 words OB Ho: 47.6 words H: u<47.6 words OD. H: >47.6 words H:H47.6 words H:H<47.6 words Determine the test statistic. L(Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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= 59.7 words,
s= 16.5 words. Given that this dictionary has 1470 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 47.6 words. Use a 0.10 significance level to tost the claim that the mean number of words per page is greater than
47.6 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?
A. Ho: H47.6 words
H: u>47.6 words
OB. Họ: = 47.6 words
H: <47.6 words
OC. Hg: =47.6 words
OD. Ho: >47.6 words
Hp<47.6 words
H: H#47.6 words
Determine the test statistic.
(Round to two decimal places as needed.)
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= 59.7 words, s= 16.5 words. Given that this dictionary has 1470 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 47.6 words. Use a 0.10 significance level to tost the claim that the mean number of words per page is greater than 47.6 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? A. Ho: H47.6 words H: u>47.6 words OB. Họ: = 47.6 words H: <47.6 words OC. Hg: =47.6 words OD. Ho: >47.6 words Hp<47.6 words H: H#47.6 words Determine the test statistic. (Round to two decimal places as needed.)
Next question
Listed below are the lead concentrations in ug'g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead
concentration for all such medicines is less than 16 pg/g. Assume that the sample is a simple random sample.
10.5 4 22.5 2.5 15.5 15.5 6.5 16 14 12 o
Assuming all conditions for conducting a hypothesis tost are met, what are the null and alternative hypotheses?
VA Ho: 16 uglg
OB. Ho = 16 polo
H, u< 16 uglg
Hi u> 16 pglg
Họ: 16 pg/g
Hy: 16 vglg
OD, Ho > 16 pola
H e 16 pgla
Determine the test statistic.
(Round to two decimal places as needed.)
Transcribed Image Text:Next question Listed below are the lead concentrations in ug'g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 pg/g. Assume that the sample is a simple random sample. 10.5 4 22.5 2.5 15.5 15.5 6.5 16 14 12 o Assuming all conditions for conducting a hypothesis tost are met, what are the null and alternative hypotheses? VA Ho: 16 uglg OB. Ho = 16 polo H, u< 16 uglg Hi u> 16 pglg Họ: 16 pg/g Hy: 16 vglg OD, Ho > 16 pola H e 16 pgla Determine the test statistic. (Round to two decimal places as needed.)
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