A simple random sample of size n is drawn. The sample mean, x, is found to be 19.1, and the sample standard deviation, s, is found to be 4.8. 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: 17.45; Upper bound: 20.75 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 51. Lower bound: 17.75; Upper bound: 20.45 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? A. The margin of error decreases. OB. The margin of error does not change. OC. The margin of error increases. (c) Construct a 99% confidence interval about u if the sample size, n, is 35. Lower bound: 16.89; Upper bound: 21.31 W (Use ascending order. Round to two decimal places as needed.) Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of 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.
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.1, and the sample standard deviation, s, is found to be 4.8. 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: 17.45; Upper bound: 20.75 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 51. Lower bound: 17.75; Upper bound: 20.45 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? A. The margin of error decreases. OB. The margin of error does not change. OC. The margin of error increases. (c) Construct a 99% confidence interval about u if the sample size, n, is 35. Lower bound: 16.89; Upper bound: 21.31 W (Use ascending order. Round to two decimal places as needed.) Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 19.1, and the sample standard deviation, s, is found to be 4.8.
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: 17.45; Upper bound: 20.75
(Use ascending order. Round to two decimal places as needed.)
(b) Construct a 95% confidence interval about μ if the sample size, n, is 51.
Lower bound: 17.75; Upper bound: 20.45
(Use ascending order. Round to two decimal places as needed.)
How does increasing the sample size affect the margin of error, E?
A. The margin of error decreases.
OB. The margin of error does not change.
OC. The margin of error increases.
(c) Construct a 99% confidence interval about u if the sample size, n, is 35.
Lower bound: 16.89; Upper bound: 21.31
(Use ascending order. Round to two decimal places as needed.)
Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of 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.
E
Transcribed Image Text:301
Table of t-Distribution Areas
df
1
2
3
4
5
6
0.25
Area in
right tail
0.20
1.000 1.376
0.816
0.765
0.741
0.727
0.15
1.061
0.978 1.250
0.941
0.920 1.156
0.10
1.963
3.078
1.386 1.886
0.718 0.906 1.134
0711
0906
1 110
1.190 1.533
1.476
6.314
2.920
2.353
1.638
2.132
2.015
0.05
1.440
1115
1.943
1 905
Table VI
-Distribution
Area in Right Tail
0.025
12.706
4.303
3.182
2.776
2.571
2.447
2.365
Print
0.02
0.01
15.894
31.821
4.849
6.965
3.482
4.541
2.999
3.747
2.757 3.365
2.612
3.143
5000
Done
0.005
0.0025
63.657 127:321
9.925
14.089
5.841
7.453
4.604
5.598
4.032
4.773
3.707
2 100
4.317
1020
0.001
318.309
22.327
10.215
7.173
5.893
5.208
1785
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
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