a. A researcher collects a sample of 31 measurements from a population and wishes to find a 99% confidence interval for the population mean. What value should he use for t*? b. If he instead decides to use a 95% confidence interval, will the interval be wider or be narrower or stay the same? Why? E Click the icon to view the t-table. a. To find a 99% confidence interval for the population mean, he should use for t*. (Round to three decimal places as needed.) b. If he instead decides to use a 95% confidence interval, will the interval be wider, be narrower, or stay the same? Why? O A. The interval will be wider because t* is bigger, which makes the margin of error bigger. OB. The interval will be narrower because t* is bigger, which makes the margin of error smaller. OC. The interval will be narrower because t* is smaller, which makes the margin of error smaller. O D. The interval will be wider because t* is smaller, which makes the margin of error bigger.
a. A researcher collects a sample of 31 measurements from a population and wishes to find a 99% confidence interval for the population mean. What value should he use for t*? b. If he instead decides to use a 95% confidence interval, will the interval be wider or be narrower or stay the same? Why? E Click the icon to view the t-table. a. To find a 99% confidence interval for the population mean, he should use for t*. (Round to three decimal places as needed.) b. If he instead decides to use a 95% confidence interval, will the interval be wider, be narrower, or stay the same? Why? O A. The interval will be wider because t* is bigger, which makes the margin of error bigger. OB. The interval will be narrower because t* is bigger, which makes the margin of error smaller. OC. The interval will be narrower because t* is smaller, which makes the margin of error smaller. O D. The interval will be wider because t* is smaller, which makes the margin of error bigger.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:a. A researcher collects a sample of 31 measurements from a population and wishes to find a 99% confidence interval for the
population mean. What value should he use for t*?
b. If he instead decides to use a 95% confidence interval, will the interval be wider or be narrower or stay the same? Why?
E Click the icon to view the t-table.
a. To find a 99% confidence interval for the population mean, he should use
for t*.
(Round to three decimal places as needed.)
b. If he instead decides to use a 95% confidence interval, will the interval be wider, be narrower, or stay the same? Why?
O A. The interval will be wider because t* is bigger, which makes the margin of error bigger.
O B. The interval will be narrower because t* is bigger, which makes the margin of error smaller.
OC. The interval will be narrower because t* is smaller, which makes the margin of error smaller.
O D. The interval will be wider because t* is smaller, which makes the margin of error bigger.
t-table
t Distribution Critical Values
Confidence Level
80%
90%
95%
98%
99%
99.8%
Right-Tail Probability
df
t100
to50
to25
t010
t,o05
t,001
1
3.078
6.314
12.706
31.821
63.656
318.289
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
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
6.
1.440
1.943
2.447
3.143
3.707
5.208
1.415
1.895
2.365
2.998
3.499
4.785
8.
1.397
1.860
2.306
2.896
3.355
4.501
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
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
13
1.350
1.771
2.160
2.650
3.012
3.852
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
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
22
1.321
1.717
2.074
2.508
2.819
3.505
23
1.319
1.714
2.069
2.500
2.807
3.485
24
1.318
1.711
2.064
2.492
2.797
3.467
25
1.316
1.708
2.060
2.485
2.787
3.450
26
1.315
1.706
2.056
2.479
2.779
3.435
27
1.314
1.703
2.052
2.473
2.771
3.421
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