(c) Construct a 99% confidence interval about u if the sample size, n, is 35. H Lower bound; Upper bound: (Use ascending order. Round to two decimal places 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
Question

Solve for C

A simple random sample of size n is drawn. The sample mean, x, is found to be 18.5, and the sample standard deviation, s, is found to be 4.9.
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: 16.82; Upper bound: 20.18
(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: 17.12; Upper bound: 19.88 0
(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 does not change.
c. The margin of error decreases.
(c) Construct a 99% confidence interval about u if the sample size, n, is 35.
Lower bound: Upper bound
(Use ascending order. Round to two decimal places as needed)
C
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 18.5, and the sample standard deviation, s, is found to be 4.9. 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: 16.82; Upper bound: 20.18 (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: 17.12; Upper bound: 19.88 0 (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 does not change. c. The margin of error decreases. (c) Construct a 99% confidence interval about u if the sample size, n, is 35. Lower bound: Upper bound (Use ascending order. Round to two decimal places as needed) C
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
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