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. Variable N 69 Std Dev 2.9 95.0% CI (3.704,5.096) News Mean 4.4 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. 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 (4.0, 4.8). (Round to one decimal place as needed.) Compare the confidence interval found in the previous step to the one reported. What effect does sample size have on the margin of error? OA. As sample size increases, the margin of error becomes smaller. OB. As sample size increases, the margin of error does not change. OC. As sample size increases, the margin of error becomes larger.

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.
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 (4.0, 4.8).
(Round to one decimal place as needed.)
Compare the confidence interval found in the previous step to the one reported. What effect does sample size have on the margin of error?
A. As sample size increases, the margin of error becomes smaller.
B. As sample size increases, the margin of error does not change.
C. As sample size increases, the margin of error becomes larger.
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. 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 (4.0, 4.8). (Round to one decimal place as needed.) Compare the confidence interval found in the previous step to the one reported. What effect does sample size have on the margin of error? A. As sample size increases, the margin of error becomes smaller. B. As sample size increases, the margin of error does not change. C. As sample size increases, the margin of error becomes larger.
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