A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110, and the sample standard deviation,s, is found to be 10.(a) Construct an 80% confidence interval about u if the sample size, n, is 15.(b) Construct an 80% confidence interval about u if the sample size, n, is 28.(c) Construct a 90% confidence interval about u if the sample size, n, is 15.(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 an 80% confidence interval about u if the sample size, n, is 15.Lower bound: ; Upper bound:(Use ascending order. Round to one decimal place as needed.) Table of t-Distribution Areas-Area inright tailTable VIt-DistributionArea in Right Taildf0.250.200.150.100.050.0250.020.010.0050.00250.0010.000512.706127.321318.30922.32711.3761.9633.0786.31415.89431.82163.6579.9255.8414.6041.000636.6191.3861.2501.1901.15614.0897.4535.5982.9206.9650.8160.7650.7411.0610.9780.9411.8861.6381.5334.3033.1822.7764.8493.4822.9992.75731.59912.9242.3532.1322.0154.5413.7473.36510.2157.1735.89348.61050.7270.9201.4762.5714.0324.7736.8691.1341.1192.4472.3653.1432.9982.8962.8212.7640.7180.9063.7075.9591.4401.4151.3971.3831.3721.9432.6122.5172.4492.3982.3594.3175.2083.4993.3553.2505.4085.0414.7814.58770.7110.8961.8954.0292.3062.2622.2284.7854.5014.2974.1441.10880.706 0.88990.7030.7000.8830.8791.8601.8333.8333.6901.100101.0931.8123.1693.5810.6973.4971.3631.3561.3503.1063.0553.012114.0250.8760.8730.8701.0881.7961.7821.7712.2011.0831.0792.3282.3032.7182.6812.6504.4374.3184.221120.6952.1793.4283.930130.6942.1602.2823.3723.85223

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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about µ if the sample size, n, is 15. (b) Construct an 80% confidence interval about u if the sample size, n, is 28. (c) Construct a 90% confidence interval about u if the sample size, n, is 15. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about u if the sample size, n, is 15. 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 110, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about µ if the sample size, n, is 15. (b) Construct an 80% confidence interval about u if the sample size, n, is 28. (c) Construct a 90% confidence interval about u if the sample size, n, is 15. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about u if the sample size, n, is 15. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place 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

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Topic Video

Question

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110, and the sample standard deviation,
s, is found to be 10.
(a) Construct an 80% confidence interval about u if the sample size, n, is 15.
(b) Construct an 80% confidence interval about u if the sample size, n, is 28.
(c) Construct a 90% confidence interval about u if the sample size, n, is 15.
(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 an 80% confidence interval about u if the sample size, n, is 15.
Lower bound: ; Upper bound:
(Use ascending order. Round to one decimal place as needed.)

Table of t-Distribution Areas
-Area in
right tail
Table VI
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
12.706
127.321
318.309
22.327
1
1.376
1.963
3.078
6.314
15.894
31.821
63.657
9.925
5.841
4.604
1.000
636.619
1.386
1.250
1.190
1.156
14.089
7.453
5.598
2.920
6.965
0.816
0.765
0.741
1.061
0.978
0.941
1.886
1.638
1.533
4.303
3.182
2.776
4.849
3.482
2.999
2.757
31.599
12.924
2.353
2.132
2.015
4.541
3.747
3.365
10.215
7.173
5.893
4
8.610
5
0.727
0.920
1.476
2.571
4.032
4.773
6.869
1.134
1.119
2.447
2.365
3.143
2.998
2.896
2.821
2.764
0.718
0.906
3.707
5.959
1.440
1.415
1.397
1.383
1.372
1.943
2.612
2.517
2.449
2.398
2.359
4.317
5.208
3.499
3.355
3.250
5.408
5.041
4.781
4.587
7
0.711
0.896
1.895
4.029
2.306
2.262
2.228
4.785
4.501
4.297
4.144
1.108
8
0.706 0.889
9
0.703
0.700
0.883
0.879
1.860
1.833
3.833
3.690
1.100
10
1.093
1.812
3.169
3.581
0.697
3.497
1.363
1.356
1.350
3.106
3.055
3.012
11
4.025
0.876
0.873
0.870
1.088
1.796
1.782
1.771
2.201
1.083
1.079
2.328
2.303
2.718
2.681
2.650
4.437
4.318
4.221
12
0.695
2.179
3.428
3.930
13
0.694
2.160
2.282
3.372
3.852
23

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