(d) If the sample size is 16, what conditions must be satisfied to compute the confidence interval" OA. The sample must come from a population that is normally distributed and the sample size must be large. OB. The sample data must come from a population that is normally distributed with no outliers OC. The sample size must be large and the sample should not have any outliers.

MATLAB: An Introduction with Applications
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Solve for D

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.
OA. The margin of error increases.
B. The margin of error decreases.
OC. The margin of error does not change.
(c) Construct a 99% confidence interval about μ if the sample size, n, is 35.
H
Lower bound: 15.87; Upper bound: 19.93
4
(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?
A. The margin of error decreases.
OB. The margin of error does not change.
c. The margin of error increases.
(d) If the sample size is 16, what conditions must be satisfied to compute the confidence interval?
OA. The sample must come from a population that is normally distributed and the sample size must be large.
OB. The sample data must come from a population that is normally distributed with no outliers.
OC. The sample size must be large and the sample should not have any outliers.
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. OA. The margin of error increases. B. The margin of error decreases. OC. The margin of error does not change. (c) Construct a 99% confidence interval about μ if the sample size, n, is 35. H Lower bound: 15.87; Upper bound: 19.93 4 (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? A. The margin of error decreases. OB. The margin of error does not change. c. The margin of error increases. (d) If the sample size is 16, what conditions must be satisfied to compute the confidence interval? OA. The sample must come from a population that is normally distributed and the sample size must be large. OB. The sample data must come from a population that is normally distributed with no outliers. OC. The sample size must be large and the sample should not have any outliers.
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