A survey was conducted that asked 1013 people how many books they had read in the past year. Results indicated that x=10.3 books and s=16.6books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval. Construct a 90% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice.(Use ascending order. Round to two decimal places as needed.) A. There is a 90% probability that the true mean number of books read is between ___ and ____ B. There is 90% confidence that the population mean number of books read is between ___ and ____. C. If repeated samples are taken, 90% of them will have a sample mean between ___ and ___. Table of Critical t-ValuesB.0.8620.8610.8601.0671.0662.5522.5392.5283.1973.1743.1533.6103.5793.5523.9221819200.6880.6880.6871.3301.3281.3251.7341.7291.7252.1012.0932.0862.2142.2052.8782.8612.8453.8831.0642.1973.8500.6860.6860.6850.6850.6841.0631.0611.0601.0591.0581.3231.3211.3191.3181.3163.8193.7923.7683.7453.7251.72121222324250.8590.8580.8580.8570.8561.7171.7141.7111.7082.0802.0742.0692.0642.0602.1892.1832.1772.1722.1672.5182.5082.5002.4922.4852.8312.8192.8072.7972.7873.1353.1193.1043.5273.5053.4853.4673.4503.0913.0780.6840.6840.6830.6830.6831.0581.0571.0561.0551.0551.3151.3141.3131.3111.3101.7061.7031.7011.6991.6972.0562.0520.8560.8550.8550.8540.8542.1622.1582.1542.1502.1473.4353.4213.4083.3963.3853.7073.6903.6743.6593.6462.47926272829302.7792.7712.7632.7562.7503.0673.0572.0482.0452.0422.4732.4672.4622.4573.0473.0383.0300.6820.6820.6820.6820.6821.0541.0541.0531.0521.0521.3091.3091.3081.3071.3062.7442.7382.7332.7282.7242.45331323334350.8530.8530.8530.8520.8523.3753.3653.3563.3483.3401.6961.6942.0402.0372.0352.0322.0302.1442.1412.1382.1362.1333.0223.0153.0083.0022.9963.6333.6221.6921.6911.6902.4492.4452.4412.4383.6113.6013.59136373839400.6810.6810.6810.6810.6810.8520.8510.8510.8510.8511.0521.0511.0511.0501.0501.3061.3051.3041.3041.3031.6881.6871.6861.6851.6842.0282.0262.0242.0232.0212.1312.1292.1272.1252.1232.4342.4312.4292.7192.7152.7122.7082.7042.9902.9852.9802.9762.9713.3333.3263.3193.3133.3073.5823.5743.5663.5583.5512.4262.4231.0471.0451.6761.6711.6671.6641.6622.0092.00050607080902.1092.0992.0932.0882.0842.6782.6602.6482.6392.6323.4963.4603.4353.4163.4020.6790.6790.8490.8480.8470.8460.8461.2991.2961.2941.2921.2912.4032.3902.3812.3742.3682.9372.9152.8992.8872.8783.2613.2323.2113.1953.1830.6780.6781.0441.0431.0421.9941.9900.6771.98710010000.6770.6750.6740.8450.8421.0421.0371.0361.2901.2821.2821.6601.6461.6451.9841.9621.9602.0812.0562.0542.3642.3302.3262.6262.5812.5762.8712.8132.8073.1743.0983.0903.3903.3000.8423.291Degrees of 0.25Freedom0.200.150.100.050.0250.020.010.0050.00250.0010.0005t-DistributionArea in Right TailPrintDoneAll parts showingClear All Table of Critical t-Values1Area inright tailt-DistributionArea in Right TailDegrees ofFreedom0.250.200.150.100.050.0250.020.010.0050.00250.0010.00051.0000.8160.7650.7410.7271.3761.0610.9781.9631.3861.2503.0781.8861.6381.5331.4766.3142.9202.3532.1322.01512.7064.3033.1822.7762.57115.8944.8493.4822.9992.75731.8216.9654.5413.7473.36563.6579.9255.8414.6044.032127.32114.08974535.5984.773318.309 636.61922.32710.21571735.89331.59912.9240.9410.9201.1901.1568.6106.8691.4401.4151.3971.3831.3724.3174.0293.8333.6903.5815.2084.7854.5014.2974.1441.9430.7180.7110.7060.7030.7000.9060.8960.8890.8830.8791.1341.1191.1081.1001.0931.8951.8601.8331.8122.4472.3652.3062.2622.2282.6122.5172.4492.3982.3593.1432.9982.8962.8212.7643.7073.4993.3553.2503.1695.9595.4085.0414.7814.587100.6970.6950.6940.6920.8760.8730.8700.8680.8661.3631.3561.3501.3451.3411.7961.7821.7711.7611.7532.2012.1792.1602.1452.1312.3282.3032.2822.2642.2493.49711121314151.0881.0831.0791.0761.0742.7182.6812.6502.6242.6023.1063.0553.0122.9772.9473.4283.3723.3263.2864.0253.9303.8523.7873.7334.4374.3184.2214.1404.0730.69116171819200.6900.6890.6880.6880.6870.8650.8630.8620.8610.8601.0711.0691.0671.0661.0641.3371.3331.3301.3281.3251.7461.7401.7341.7291.7252.1202.1102.1012.0932.0862.2352.2242.2142.2052.1972.5832.5672.5522.5392.5282.9212.8982.8782.8612.8453.2523.2223.1973.1743.1533.6863.6463.6103.5793.5524.0153.9653.9223.8833.8500.6860.6860.6850.6850.6840.8590.8580.8580.8570.8561.3231.3211.3193.1353.1193.1043.0913.0783.8193.7923.7683.7453.7251.06321222324251.7211.7171.7141.7111.7082.0802.0742.0692.0642.1892.1832.1772.1722.1672.5182.5082.5002.4922.4852.8312.8192,8072.7972.7873.5273.5053.4853.4673.4501.0611.0601.0591.3181.3161.0582.060PrintDoneAll parts showingClear2345

The summary of statistics is, x¯=10.3,s=16.6,n=1013 The degree of freedom is, df =n -1 = 1013-1…

Answered: A survey was conducted that asked 1013…

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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Question

A survey was conducted that asked 1013 people how many books they had read in the past year. Results indicated that x=10.3 books and s=16.6
books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval.

Construct a 90% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice.

(Use ascending order. Round to two decimal places as needed.)

A. There is a 90% probability that the true mean number of books read is between ___ and ____

B. There is 90% confidence that the population mean number of books read is between ___ and ____.

C. If repeated samples are taken, 90% of them will have a sample mean between ___ and ___.

Table of Critical t-Values
B.
0.862
0.861
0.860
1.067
1.066
2.552
2.539
2.528
3.197
3.174
3.153
3.610
3.579
3.552
3.922
18
19
20
0.688
0.688
0.687
1.330
1.328
1.325
1.734
1.729
1.725
2.101
2.093
2.086
2.214
2.205
2.878
2.861
2.845
3.883
1.064
2.197
3.850
0.686
0.686
0.685
0.685
0.684
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
3.819
3.792
3.768
3.745
3.725
1.721
21
22
23
24
25
0.859
0.858
0.858
0.857
0.856
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.104
3.527
3.505
3.485
3.467
3.450
3.091
3.078
0.684
0.684
0.683
0.683
0.683
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
0.856
0.855
0.855
0.854
0.854
2.162
2.158
2.154
2.150
2.147
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
2.479
26
27
28
29
30
2.779
2.771
2.763
2.756
2.750
3.067
3.057
2.048
2.045
2.042
2.473
2.467
2.462
2.457
3.047
3.038
3.030
0.682
0.682
0.682
0.682
0.682
1.054
1.054
1.053
1.052
1.052
1.309
1.309
1.308
1.307
1.306
2.744
2.738
2.733
2.728
2.724
2.453
31
32
33
34
35
0.853
0.853
0.853
0.852
0.852
3.375
3.365
3.356
3.348
3.340
1.696
1.694
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
3.022
3.015
3.008
3.002
2.996
3.633
3.622
1.692
1.691
1.690
2.449
2.445
2.441
2.438
3.611
3.601
3.591
36
37
38
39
40
0.681
0.681
0.681
0.681
0.681
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
1.306
1.305
1.304
1.304
1.303
1.688
1.687
1.686
1.685
1.684
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2.434
2.431
2.429
2.719
2.715
2.712
2.708
2.704
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.551
2.426
2.423
1.047
1.045
1.676
1.671
1.667
1.664
1.662
2.009
2.000
50
60
70
80
90
2.109
2.099
2.093
2.088
2.084
2.678
2.660
2.648
2.639
2.632
3.496
3.460
3.435
3.416
3.402
0.679
0.679
0.849
0.848
0.847
0.846
0.846
1.299
1.296
1.294
1.292
1.291
2.403
2.390
2.381
2.374
2.368
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
0.678
0.678
1.044
1.043
1.042
1.994
1.990
0.677
1.987
100
1000
0.677
0.675
0.674
0.845
0.842
1.042
1.037
1.036
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300
0.842
3.291
Degrees of 0.25
Freedom
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
t-Distribution
Area in Right Tail
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Table of Critical t-Values
1
Area in
right tail
t-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
1.000
0.816
0.765
0.741
0.727
1.376
1.061
0.978
1.963
1.386
1.250
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7453
5.598
4.773
318.309 636.619
22.327
10.215
7173
5.893
31.599
12.924
0.941
0.920
1.190
1.156
8.610
6.869
1.440
1.415
1.397
1.383
1.372
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
1.943
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
5.959
5.408
5.041
4.781
4.587
10
0.697
0.695
0.694
0.692
0.876
0.873
0.870
0.868
0.866
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
3.497
11
12
13
14
15
1.088
1.083
1.079
1.076
1.074
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
4.140
4.073
0.691
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
1.323
1.321
1.319
3.135
3.119
3.104
3.091
3.078
3.819
3.792
3.768
3.745
3.725
1.063
21
22
23
24
25
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2,807
2.797
2.787
3.527
3.505
3.485
3.467
3.450
1.061
1.060
1.059
1.318
1.316
1.058
2.060
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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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