For a certain survey, software reports the results shown below for responses on the number of times a week the subject reads a newspaper. Complete parts a through d. Std Dev 2.9 95.0% CI (3.704,5.096) Variable News N 69 Mean 4.4 SE Mean 0.349 C a. Is it plausible that μ = 7, where u is the population mean for all respondents? Explain. A. No, because 7 is well outside the 95% confidence interval given in the software results. OB. No, because 7 is within the 95% confidence interval given in the software results. OC. Yes, because 7 is within the 95% confidence interval given in the software results. O D. Yes, because 7 is well outside the 95% confidence interval given in the software results. b. Suppose that the sample size had been 240, with x = 4.4 and s= 2.9. Use technology to find a 95% confidence interval. Describe the effect of sample size on the margin of error. The 95% confidence interval is. (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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For a certain survey, software reports the results shown below for responses on the number of times a week the subject reads a newspaper. Complete parts a through d.
N
69
95.0% CI
(3.704,5.096)
Variable
News
Mean
4.4
Std Dev
2.9
SE Mean
0.349
a. Is it plausible that µ = 7, where μ is the population mean for all respondents? Explain.
A. No, because 7 is well outside the 95% confidence interval given in the software results.
B. No, because 7 is within the 95% confidence interval given in the software results.
C. Yes, because 7 is within the 95% confidence interval given in the software results.
D. Yes, because 7 is well outside the 95% confidence interval given in the software results.
b. Suppose that the sample size had been 240, with x = 4.4 and s= 2.9. Use technology to find a 95% confidence interval. Describe the effect of sample size on the margin of error.
The 95% confidence interval is
(Round to one decimal place as needed.)
Transcribed Image Text:For a certain survey, software reports the results shown below for responses on the number of times a week the subject reads a newspaper. Complete parts a through d. N 69 95.0% CI (3.704,5.096) Variable News Mean 4.4 Std Dev 2.9 SE Mean 0.349 a. Is it plausible that µ = 7, where μ is the population mean for all respondents? Explain. A. No, because 7 is well outside the 95% confidence interval given in the software results. B. No, because 7 is within the 95% confidence interval given in the software results. C. Yes, because 7 is within the 95% confidence interval given in the software results. D. Yes, because 7 is well outside the 95% confidence interval given in the software results. b. Suppose that the sample size had been 240, with x = 4.4 and s= 2.9. Use technology to find a 95% confidence interval. Describe the effect of sample size on the margin of error. The 95% confidence interval is (Round to one decimal place as needed.)
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