A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 114, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about u if the sample size, n, is 19. (b) Construct a 96% confidence interval about u if the sample size, n, is 26. (c) Construct a 99% confidence interval about u if the sample size, n, is 19. (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 a 96% confidence interval about u if the sample size, n, is 19. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 114, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about u if the sample size, n, is 19. (b) Construct a 96% confidence interval about u if the sample size, n, is 26. (c) Construct a 99% confidence interval about u if the sample size, n, is 19. (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 a 96% confidence interval about u if the sample size, n, is 19. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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Question
Transcribed Image Text:Table of t-Distribution Areas
df
45
0.25
0.10 0.05
1
1.000
2
0.816 1.061
3
0.765
1.376 1.963 3.078 6.314
1.386 1.886 2.920
1.250 1.638 2.353
0.941
1.190
1.533 2.132
0.920 1.156 1.476 2.015
0.978
4 0.741
5 0.727
6
7
8
9
10
0.20
0.718
0.906
0.896
0.711
0.706
0.889
0.703 0.883
0.700 0.879
n con
0.15
11 0.697 0.876
1.088
12 0.695 0.873 1.083
1.079
13
0.694 0.870
14
0.692 0.868
0.691 0.866
15
14
посс
1.363 1.796
1.356
1.350 1.771
1.782
1.076 1.345 1.761
1.074
0.025
1.071
15.894 31.821 63.657
4.032
12.706
4.303 4.849 6.965 9.925
3.182
3.482 4.541 5.841
2.776 2.999 3.747 4.604
2.571 2.757
3.365
1.134 1.440 1.943 2.447 2.612 3.143 3.707
1.119 1.415 1.895
2.365 2.517 2.998 3.499
1.108 1.397 1.860 2.306
1.100 1.383 1.833 2.262
1.093 1.372 1.812 2.228
2.449 2.896 3.355
2.398
2.821
3.250
2.359
2.764 3.169
2.201
2.179
2.160
2.145
1.341 1.753 2.131
1.337
1742
0.02
130
0.01
2.328
2.303
2.282
2.264
2.249
3325
0.005 0.0025
2.718
3.106
2.681
3.055
2.650 3.012
2.624 2.977
2.602 2.947
con
231
127.321 318.309
14.089 22.327
7.453
10.215
7.173
5.893
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
0.001
2.353
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
? LOL
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
AMC
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 114, and the sample standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about u if the sample size, n, is
(b) Construct a 96% confidence interval about u if the sample size, n, is
(c) Construct a 99% confidence interval about u if the sample size, n, is
(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 a 96% confidence interval about u if the sample size, n, is 19.
Lower bound:; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
CREEP
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