State whether each of the following changes would make a confidence interval wider or narrower. (Assume that nothing else changes.) a. Changing from a 90% confidence level to a 95% confidence level. b. Changing from a sample size of 20 to a sample size of 350. c. Changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds. E Click the icon to view the t-table. a. How will changing from a 90% confidence level to a 95% confidence level affect the width of the confidence interval? A. The interval will become wider. O B. The interval will become narrower. OC. This change will not affect the width of the interval. b. How will changing from a sample size of 20 to a sample size of 350 affect the width of the confidence interval? O A. The interval will become wider. OB. The interval will become narrower. OC. This change will not affect the width of the interval. c. How will changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds affect the width of the confidence interv O A. The interval will become wider. B. The interval will become narrower. OC. This change will not affect the width of the interval.
State whether each of the following changes would make a confidence interval wider or narrower. (Assume that nothing else changes.) a. Changing from a 90% confidence level to a 95% confidence level. b. Changing from a sample size of 20 to a sample size of 350. c. Changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds. E Click the icon to view the t-table. a. How will changing from a 90% confidence level to a 95% confidence level affect the width of the confidence interval? A. The interval will become wider. O B. The interval will become narrower. OC. This change will not affect the width of the interval. b. How will changing from a sample size of 20 to a sample size of 350 affect the width of the confidence interval? O A. The interval will become wider. OB. The interval will become narrower. OC. This change will not affect the width of the interval. c. How will changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds affect the width of the confidence interv O A. The interval will become wider. B. The interval will become narrower. OC. This change will not affect the width of the interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Transcribed Image Text:t-table
State whether each of the following changes would make a confidence interval wider or narrower. (Assume that nothing else changes.)
a. Changing from a 90% confidence level to a 95% confidence level.
b. Changing from a sample size of 20 to a sample size of 350.
c. Changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds.
t Distribution Critical Values
Click the icon to view the t-table.
Confidence Level
a. How will changing from a 90% confidence level to a 95% confidence level affect the width of the confidence interval?
80%
90%
95%
98%
99%
99.8%
Right-Tail Probability
A. The interval will become wider.
df
t,100
t050
t 025
t010
to05
t,001
B. The interval will become narrower.
1
3.078
6.314
12.706
31.821
63.656
318.289
O C. This change will not affect the width of the interval.
2
1.886
2.920
4.303
6.965
9.925
22.328
3
1.638
2.353
3.182
4.541
5.841
10.214
b. How will changing from a sample size of 20 to a sample size of 350 affect the width of the confidence interval?
4
1.533
2.132
2.776
3.747
4.604
7.173
1.476
2.015
2.571
3.365
4.032
5.894
A. The interval will become wider.
1.440
1.943
2.447
3.143
3.707
5.208
B. The interval will become narrower.
7
1.415
1.895
2.365
2.998
3.499
4.785
1.397
1.860
2.306
2.896
3.355
4.501
C. This change will not affect the width of the interval.
9.
1.383
1.833
2.262
2.821
3.250
4.297
10
1.372
1.812
2.228
2.764
3.169
4.144
c. How will changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds affect the width of the confidence interv
11
1.363
1.796
2.201
2.718
3.106
4.025
12
1.356
1.782
2.179
2.681
3.055
3.930
A. The interval will become wider.
13
1.350
1.771
2.160
2.650
3.012
3.852
B. The interval will become narrower.
14
1.345
1.761
2.145
2.624
2.977
3.787
15
1.341
1.753
2.131
2.602
2.947
3.733
C. This change will not affect the width of the interval.
16
1.337
1.746
2.120
2.583
2.921
3.686
17
1.333
1.740
2.110
2.567
2.898
3.646
18
1.330
1.734
2.101
2.552
2.878
3.611
19
1.328
1.729
2.093
2.539
2.861
3.579
20
1.325
1.725
2.086
2.528
2.845
3.552
21
1.323
1.721
2.080
2.518
2.831
3.527
1.321
1 319.
22
1.717
2.074
2.508
2.819
3.505
23
1714
2069
2 500.
2 807
3 485
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