Using a t-distribution table or software or a calculator, report the t-statistic which is multiplied by the standard error to form the margin of error for the following cases. a. 90% confidence interval for a mean with 18 observations. b. 90% confidence interval for a mean with 28 observations. c. 99% confidence interval for a mean with 28 observations. Click the icon to view the t-distribution table. a. t= (Round to three decimal places as needed.)

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Using a t-distribution table or software or a calculator, report the t-statistic which is multiplied by the standard error to form the margin of error for the following cases.
a. 90% confidence interval for a mean with 18 observations.
b. 90% confidence interval for a mean with 28 observations.
c. 99% confidence interval for a mean with 28 observations.
Click the icon to view the t-distribution table.
a. t =
(Round to three decimal places as needed.)
Transcribed Image Text:Using a t-distribution table or software or a calculator, report the t-statistic which is multiplied by the standard error to form the margin of error for the following cases. a. 90% confidence interval for a mean with 18 observations. b. 90% confidence interval for a mean with 28 observations. c. 99% confidence interval for a mean with 28 observations. Click the icon to view the t-distribution table. a. t = (Round to three decimal places as needed.)
t-distribution
t Distribution Critical Values
80%
df
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
1,100
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
90%
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
Confidence Level
95%
Right-Tail Probability
1025
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
98%
tolo
31.821
6.965
4.541
3.747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
99%
1,005
63.656
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
99.8%
1,001
318.289
22.328
10.214
7.173
5.894
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
Transcribed Image Text:t-distribution t Distribution Critical Values 80% df 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1,100 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 90% 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 Confidence Level 95% Right-Tail Probability 1025 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 98% tolo 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 99% 1,005 63.656 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 99.8% 1,001 318.289 22.328 10.214 7.173 5.894 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646
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