Anna's project for her introductory statistics course was to compare the selling prices of textbooks at two Internet bookstores. She first took a random sample of ten textbooks used that term courses at her college, based on the list of texts compiled by the college bookstore. The prices of those textbooks at the two Internet sites are shown below. Complete parts a through c. Site A $115 $79 $42 $135 $98 $34 $78 $96 $118 $69 D Site B $110 $79 $39 $129 $98 $34 $69 $96 $108 $66 Find the mean for the sample from Site B. X₂ = $ 82.8 Find the mean of the difference scores, where the difference is the price at Site A minus the price at Site B. X = $ 3.6 Compare, and interpret. Choose the correct answer below. O A. The mean for Site A is less than the mean for Site B. Thus, the mean of the difference scores is negative. The mean book price at Site A is less than at Site B. OB. The mean for Site A is less than the mean for Site B. Thus, the mean of the difference scores is positive. The mean book price at Site B is less than at Site A. OC. The mean for Site A is greater than the mean for Site B. Thus, the mean of the difference scores is negative. The mean book price at Site B is less than at Site A. D. The mean for Site A is greater than the mean for Site B. Thus, the mean of the difference scores is positive. The mean book price at Site B is less than at Site A. c. Using software or a calculator, construct a 90% confidence interval comparing the population mean prices of all textbooks used that term at her college (price at Site A minus price at Site B Interpret. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to three decimal places as needed.) ⒸA. It is plausible that the population mean price difference is 0 because 0 lies in the confidence interval B. It is not plausible that the population mean price difference is 0 because 0 does not lie in the confidence interval OC. It is plausible that the population mean price difference is 0 because 0 does not lie in the confidence interval

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Question 4, 10.4.56

Anna's project for her introductory statistics course was to compare the selling prices of textbooks at two Internet bookstores. She first took a random sample of ten textbooks used that term in
courses at her college, based on the list of texts compiled by the college bookstore. The prices of those textbooks at the two Internet sites are shown below. Complete parts a through c.
Site A
Site B
$115 $79 $42 $135 $98 $34 $78 $96 $118 $69
$110 $79 $39 $129 $98 $34 $69 $96 $108 $66
Find the mean for the sample from Site B.
x₂ = $ 82.8
0
Find the mean of the difference scores, where the difference is the price at Site A minus the price at Site B.
X = $3.6
Compare, and interpret. Choose the correct answer below.
A. The mean for Site A is less than the mean for Site B. Thus, the mean of the difference scores is negative. The mean book price at Site A is less than at Site B.
B. The mean for Site A is less than the mean for Site B. Thus, the mean of the difference scores is positive. The mean book price at Site B is less than at Site A.
C. The mean for Site A is greater than the mean for Site B. Thus, the mean of the difference scores is negative. The mean book price at Site B is less than at Site A.
D. The mean for Site A is greater than the mean for Site B. Thus, the mean of the difference scores is positive. The mean book price at Site B is less than at Site A.
c. Using software or a calculator, construct a 90% confidence interval comparing the population mean prices of all textbooks used that term at her college (price at Site A minus price at Site B).
Interpret.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to three decimal places as needed.)
A.
It is plausible that the population mean price difference is 0 because 0 lies in the confidence interval
B. It is not plausible that the population mean price difference is 0 because 0 does not lie in the confidence interval ( D.
C. It is plausible that the population mean price difference is 0 because 0 does not lie in the confidence interval.).
Transcribed Image Text:Anna's project for her introductory statistics course was to compare the selling prices of textbooks at two Internet bookstores. She first took a random sample of ten textbooks used that term in courses at her college, based on the list of texts compiled by the college bookstore. The prices of those textbooks at the two Internet sites are shown below. Complete parts a through c. Site A Site B $115 $79 $42 $135 $98 $34 $78 $96 $118 $69 $110 $79 $39 $129 $98 $34 $69 $96 $108 $66 Find the mean for the sample from Site B. x₂ = $ 82.8 0 Find the mean of the difference scores, where the difference is the price at Site A minus the price at Site B. X = $3.6 Compare, and interpret. Choose the correct answer below. A. The mean for Site A is less than the mean for Site B. Thus, the mean of the difference scores is negative. The mean book price at Site A is less than at Site B. B. The mean for Site A is less than the mean for Site B. Thus, the mean of the difference scores is positive. The mean book price at Site B is less than at Site A. C. The mean for Site A is greater than the mean for Site B. Thus, the mean of the difference scores is negative. The mean book price at Site B is less than at Site A. D. The mean for Site A is greater than the mean for Site B. Thus, the mean of the difference scores is positive. The mean book price at Site B is less than at Site A. c. Using software or a calculator, construct a 90% confidence interval comparing the population mean prices of all textbooks used that term at her college (price at Site A minus price at Site B). Interpret. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to three decimal places as needed.) A. It is plausible that the population mean price difference is 0 because 0 lies in the confidence interval B. It is not plausible that the population mean price difference is 0 because 0 does not lie in the confidence interval ( D. C. It is plausible that the population mean price difference is 0 because 0 does not lie in the confidence interval.).
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