uestio 5 óf 14 Attempt 5 A NHANES report gives data for 654 women aged 20-29 years. The mean BMI of these 654 women was = 26.8. We treated these data as an SRS from a normally distributed population with standard deviation o = 7.5. (a) Suppose that we had an SRS of just 100 young women. What would be the margin of error for 95% confidence? O 1.54 O 0.75 O 1.23 O 1.47 (b) Find the margins of error for SRSS of 400 young women and 1600 young women. 0.617 4 0.3675 0.385 0.098 0.735 6. 0.308 Enter the number (1, 2, 3, 4, 5, or 6) of the term that corresponds to a margin of error for 95% confidence of each SRS. n = 400: Question Source: Moore, The Basic Practice Of Statistics, 8e Publisher: W.H. Fre Attempt 5 0.617 4 0.3675 0.385 0.098 3. 0.735 0.308 Enter the number (1, 2, 3, 4, 5, or 6) of the term that corresponds to a margin of error for 95% confidence of each SRS. n = 400: n = 1600: (c) Compare the margins of error for 100, 400, and 1600 women. How does increasing the sample size change the margin of error of a confidence interval when the confidence level and population standard deviation remain the same? The larger the sample size, the larger margin of error of a confidence interval. O False. The margin of error is doubled each time n quadruples. O False. The margin of error is halved each time n quadruples. O True. The margin of error is doubled each time n quadruples. O True. The margin of error is halved each time n quadruples. Publisher: W.H. Freeman Question Source: Moore, The Basic Practice Of Statistics, 8e

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uestio
5 óf 14
Attempt 5
A NHANES report gives data for 654 women aged 20-29 years. The mean BMI of these 654 women was = 26.8. We
treated these data as an SRS from a normally distributed population with standard deviation o = 7.5.
(a) Suppose that we had an SRS of just 100 young women. What would be the margin of error for 95% confidence?
O 1.54
O 0.75
O 1.23
O 1.47
(b) Find the margins of error for SRSS of 400 young women and 1600 young women.
0.617
4
0.3675
0.385
0.098
0.735
6.
0.308
Enter the number (1, 2, 3, 4, 5, or 6) of the term that corresponds to a margin of error for 95% confidence of each SRS.
n = 400:
Question Source: Moore, The Basic Practice Of Statistics, 8e
Publisher: W.H. Fre
Transcribed Image Text:uestio 5 óf 14 Attempt 5 A NHANES report gives data for 654 women aged 20-29 years. The mean BMI of these 654 women was = 26.8. We treated these data as an SRS from a normally distributed population with standard deviation o = 7.5. (a) Suppose that we had an SRS of just 100 young women. What would be the margin of error for 95% confidence? O 1.54 O 0.75 O 1.23 O 1.47 (b) Find the margins of error for SRSS of 400 young women and 1600 young women. 0.617 4 0.3675 0.385 0.098 0.735 6. 0.308 Enter the number (1, 2, 3, 4, 5, or 6) of the term that corresponds to a margin of error for 95% confidence of each SRS. n = 400: Question Source: Moore, The Basic Practice Of Statistics, 8e Publisher: W.H. Fre
Attempt 5
0.617
4
0.3675
0.385
0.098
3.
0.735
0.308
Enter the number (1, 2, 3, 4, 5, or 6) of the term that corresponds to a margin of error for 95% confidence of each SRS.
n = 400:
n = 1600:
(c) Compare the margins of error for 100, 400, and 1600 women. How does increasing the sample size change the margin of
error of a confidence interval when the confidence level and population standard deviation remain the same?
The larger the sample size, the larger margin of error of a confidence interval.
O False. The margin of error is doubled each time n quadruples.
O False. The margin of error is halved each time n quadruples.
O True. The margin of error is doubled each time n quadruples.
O True. The margin of error is halved each time n quadruples.
Publisher: W.H. Freeman
Question Source: Moore, The Basic Practice Of Statistics, 8e
Transcribed Image Text:Attempt 5 0.617 4 0.3675 0.385 0.098 3. 0.735 0.308 Enter the number (1, 2, 3, 4, 5, or 6) of the term that corresponds to a margin of error for 95% confidence of each SRS. n = 400: n = 1600: (c) Compare the margins of error for 100, 400, and 1600 women. How does increasing the sample size change the margin of error of a confidence interval when the confidence level and population standard deviation remain the same? The larger the sample size, the larger margin of error of a confidence interval. O False. The margin of error is doubled each time n quadruples. O False. The margin of error is halved each time n quadruples. O True. The margin of error is doubled each time n quadruples. O True. The margin of error is halved each time n quadruples. Publisher: W.H. Freeman Question Source: Moore, The Basic Practice Of Statistics, 8e
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