A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110, 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 15. (b) Construct an 80% confidence interval about u if the sample size, n, is 28. (c) Construct a 90% confidence interval about u if the sample size, n, is 15. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about u if the sample size, n, is 15. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110, and the sample standard deviation,
s, is found to be 10.
(a) Construct an 80% confidence interval about u if the sample size, n, is 15.
(b) Construct an 80% confidence interval about u if the sample size, n, is 28.
(c) Construct a 90% confidence interval about u if the sample size, n, is 15.
(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 u if the sample size, n, is 15.
Lower bound: ; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
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 110, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about u if the sample size, n, is 15. (b) Construct an 80% confidence interval about u if the sample size, n, is 28. (c) Construct a 90% confidence interval about u if the sample size, n, is 15. (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 u if the sample size, n, is 15. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)
Table of t-Distribution Areas
-Area in
right tail
Table VI
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
12.706
127.321
318.309
22.327
1
1.376
1.963
3.078
6.314
15.894
31.821
63.657
9.925
5.841
4.604
1.000
636.619
1.386
1.250
1.190
1.156
14.089
7.453
5.598
2.920
6.965
0.816
0.765
0.741
1.061
0.978
0.941
1.886
1.638
1.533
4.303
3.182
2.776
4.849
3.482
2.999
2.757
31.599
12.924
2.353
2.132
2.015
4.541
3.747
3.365
10.215
7.173
5.893
4
8.610
5
0.727
0.920
1.476
2.571
4.032
4.773
6.869
1.134
1.119
2.447
2.365
3.143
2.998
2.896
2.821
2.764
0.718
0.906
3.707
5.959
1.440
1.415
1.397
1.383
1.372
1.943
2.612
2.517
2.449
2.398
2.359
4.317
5.208
3.499
3.355
3.250
5.408
5.041
4.781
4.587
7
0.711
0.896
1.895
4.029
2.306
2.262
2.228
4.785
4.501
4.297
4.144
1.108
8
0.706 0.889
9
0.703
0.700
0.883
0.879
1.860
1.833
3.833
3.690
1.100
10
1.093
1.812
3.169
3.581
0.697
3.497
1.363
1.356
1.350
3.106
3.055
3.012
11
4.025
0.876
0.873
0.870
1.088
1.796
1.782
1.771
2.201
1.083
1.079
2.328
2.303
2.718
2.681
2.650
4.437
4.318
4.221
12
0.695
2.179
3.428
3.930
13
0.694
2.160
2.282
3.372
3.852
23
Transcribed Image Text:Table of t-Distribution Areas -Area in right tail Table VI t-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 12.706 127.321 318.309 22.327 1 1.376 1.963 3.078 6.314 15.894 31.821 63.657 9.925 5.841 4.604 1.000 636.619 1.386 1.250 1.190 1.156 14.089 7.453 5.598 2.920 6.965 0.816 0.765 0.741 1.061 0.978 0.941 1.886 1.638 1.533 4.303 3.182 2.776 4.849 3.482 2.999 2.757 31.599 12.924 2.353 2.132 2.015 4.541 3.747 3.365 10.215 7.173 5.893 4 8.610 5 0.727 0.920 1.476 2.571 4.032 4.773 6.869 1.134 1.119 2.447 2.365 3.143 2.998 2.896 2.821 2.764 0.718 0.906 3.707 5.959 1.440 1.415 1.397 1.383 1.372 1.943 2.612 2.517 2.449 2.398 2.359 4.317 5.208 3.499 3.355 3.250 5.408 5.041 4.781 4.587 7 0.711 0.896 1.895 4.029 2.306 2.262 2.228 4.785 4.501 4.297 4.144 1.108 8 0.706 0.889 9 0.703 0.700 0.883 0.879 1.860 1.833 3.833 3.690 1.100 10 1.093 1.812 3.169 3.581 0.697 3.497 1.363 1.356 1.350 3.106 3.055 3.012 11 4.025 0.876 0.873 0.870 1.088 1.796 1.782 1.771 2.201 1.083 1.079 2.328 2.303 2.718 2.681 2.650 4.437 4.318 4.221 12 0.695 2.179 3.428 3.930 13 0.694 2.160 2.282 3.372 3.852 23
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman