Please answer parts B, C and D. 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: 106.5 ; Upper bound: 113.5(Use ascending order. Round to one decimal place as needed.)(b) Construct an 80% confidence interval about u if the sample size, n, is 28.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

Name: Please answer parts B, C and D. A simple random sample of size n is dr
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Description: Please answer parts B, C and D. 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 i

Solution: Given information: x= 110 Sample size s= 10 Sample standard deviation

Math

Statistics

A simple random sample of sizen 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: 106.5 ; Upper bound: 113.5 (Use ascending order. Round to one decimal place as needed.) (b) Construct an 80% confidence interval about u if the sample size, n, is 28. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)

A simple random sample of sizen 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: 106.5 ; Upper bound: 113.5 (Use ascending order. Round to one decimal place as needed.) (b) Construct an 80% confidence interval about u if the sample size, n, is 28. 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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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

Question

Please answer parts B, C and D.

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: 106.5 ; Upper bound: 113.5
(Use ascending order. Round to one decimal place as needed.)
(b) Construct an 80% confidence interval about u if the sample size, n, is 28.
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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