A simple random sample of size n is drawn. The sample mean, x, is found to be 17.9, and the sample standard deviation, s, is found to be Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about µ if the sample size, n, is 35. Lower bound: 16.39; Upper bound: 19.41 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 61. P Lower bound: 16.77; Upper bound: 19.03 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA. The margin of error increases.

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Solve for B

Table of t-Distribution Areas
df
1 1.000
234567
0.25
4
0.20
Area in
right tail
1.376
0.816 1.061
0.765 0.978
0.741
0.941
0.727 0.920
0.718 0.906
0711
0806
0.15
1.963
1.386
1.250
1.190
1.156
1.134
1110
0.10
0.05
3.078
1.886
1.638 2.353
1.533
2.132
1.476 2.015
1.440
1415
Table VI
1.943
1.805
t-Distribution
Area in Right Tail
0.025
0.02
6.314 12.706
2.920 4.303 4.849
3.182
2.776
2.571
2.447
2.365
0.01
0.005
15.894 31.821 63.657
6.965 9.925
3.482 4.541 5.841
2.999
3.747 4.604
2.757
3.365
4.032
2.612
2517
4
3.143
2.008
3.707
2.400
0.0025
0.001
127.321 318.309
14.089
22.327
7.453
10.215
5.598
7.173
4.773
5.893
4.317
4020
5.208
4785
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5408
Transcribed Image Text:Table of t-Distribution Areas df 1 1.000 234567 0.25 4 0.20 Area in right tail 1.376 0.816 1.061 0.765 0.978 0.741 0.941 0.727 0.920 0.718 0.906 0711 0806 0.15 1.963 1.386 1.250 1.190 1.156 1.134 1110 0.10 0.05 3.078 1.886 1.638 2.353 1.533 2.132 1.476 2.015 1.440 1415 Table VI 1.943 1.805 t-Distribution Area in Right Tail 0.025 0.02 6.314 12.706 2.920 4.303 4.849 3.182 2.776 2.571 2.447 2.365 0.01 0.005 15.894 31.821 63.657 6.965 9.925 3.482 4.541 5.841 2.999 3.747 4.604 2.757 3.365 4.032 2.612 2517 4 3.143 2.008 3.707 2.400 0.0025 0.001 127.321 318.309 14.089 22.327 7.453 10.215 5.598 7.173 4.773 5.893 4.317 4020 5.208 4785 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5408
A simple random sample of size n is drawn. The sample mean, x, is found to be 17.9, and the sample standard deviation, s, is found to be 4 4.
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 95% confidence interval about u if the sample size, n, is 35.
Lower bound: 16.39; Upper bound: 19.41
(Use ascending order. Round to two decimal places as needed.)
(b) Construct a 95% confidence interval about u if the sample size, n, is 61.
P
Lower bound: 16.77; Upper bound: 19.03
(Use ascending order. Round to two decimal places as needed.)
How does increasing the sample size affect the margin of error, E?
OA. The margin of error increases.
OB. The margin of error decreases.
OC. The margin of error does not change.
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 17.9, and the sample standard deviation, s, is found to be 4 4. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: 16.39; Upper bound: 19.41 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 61. P Lower bound: 16.77; Upper bound: 19.03 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA. The margin of error increases. OB. The margin of error decreases. OC. The margin of error does not change.
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