A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10 (a) Construct an 80% confidence interval about μ if the sample size, n, is 29. (b) Construct an 80% confidence interval about u if the sample size, n, is 15. (c) Construct a 70% confidence interval about u if the sample size, n, is 29. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about μ if the sample size, n, is 29. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.) CD
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10 (a) Construct an 80% confidence interval about μ if the sample size, n, is 29. (b) Construct an 80% confidence interval about u if the sample size, n, is 15. (c) Construct a 70% confidence interval about u if the sample size, n, is 29. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about μ if the sample size, n, is 29. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.) CD
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
solve for A) to D)
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
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10
(a) Construct an 80% confidence interval about μ if the sample size, n, is 29.
(b) Construct an 80% confidence interval about u if the sample size, n, is 15.
(c) Construct a 70% confidence interval about u if the sample size, n, is 29.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Click the icon to view the table of areas under the t-distribution.
(a) Construct an 80% confidence interval about μ if the sample size, n, is 29.
Lower bound: Upper bound:
(Use ascending order. Round to one decimal place as needed.)
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