The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below. 5.20 5.72 5.24 4.80 5.02 4,57 4.74 5.19 5.34 4.76 4.56 5.71 Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean. A point estimate for the population mean is 5.07. (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. 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.) O A. If repeated samples are taken, 95% of them will have a sample pH of rain water between and O B. There is 95% confidence that the population mean pH of rain water is between 4.82 and 5.32. O C. There is a 95% probability that the true mean pH of rain water is between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. 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.) O A. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O B. There is a 99% probability that the true mean pH of rain water is between and O C. There is 99% confidence that the population mean pH of rain water is between and
The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below. 5.20 5.72 5.24 4.80 5.02 4,57 4.74 5.19 5.34 4.76 4.56 5.71 Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean. A point estimate for the population mean is 5.07. (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. 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.) O A. If repeated samples are taken, 95% of them will have a sample pH of rain water between and O B. There is 95% confidence that the population mean pH of rain water is between 4.82 and 5.32. O C. There is a 95% probability that the true mean pH of rain water is between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. 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.) O A. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O B. There is a 99% probability that the true mean pH of rain water is between and O C. There is 99% confidence that the population mean pH of rain water is between and
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
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Transcribed Image Text:Table of Critical t-Values
- 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
2
3
1.000
0.816
0.765
0.741
0.727
1.376 1.963
1.061
1.386
0.978 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
15.804
4.849
3.482
2.999
2.757
31.821 63.657 127.321 318.309 636.619
14.089
7453
5.598
4.773
6.965
4.541
3.747
3.365
9.925
5.841
4.604
22.327 31.599
10.215
7173
5.893
12.924
4
5
0.941
1.190
0.920 1.156
8.610
2.571
4.032
6.869
0.718
0.711
0.706
0.703
0.700
3.707
3.499
3.355
3.250
3.169
5.959
5.408
5.041
4.781
4.587
0.906 1.134
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
3.143
2.998
2.896
4.317
4.029
3.833
3.690
3.581
6.
5.208
1.119
0.889 1.108
0.883 1.100
4.785
4.501
4.297
4.144
7
0.896
8
2.398
2.821
10
0.879 1.093
2.359
2.764
11
12
13
14
15
2.328
2.303
2.282
2.264
2.249
0.697
0.695
0.694
0.692
0.691
0.876 1.088
0.873 1.083
0.870 1.079
1.363
1.356
1.350
1.345
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
3.497
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
0.868 1.076
0.866 1.074
1.341
2.947
1.337
1.333
1.330
0.690
0.865 1.071
0.863 1.069
0.862 1.067
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
2.898
3.252
3.222
3.197
3.686
3.646
4.015
3.965
3.922
3.883
3.850
16
17
0.689
0.688
18
19
20
0.688
0.687
2.101
2.093
2.086
2,878
2.861
2.845
3.610
3.579
3.552
0.861 1.066
1.328
3.174
0.860 1.064
1.325
3.153
0.686
0.686
0.685
0.685
0.684
2.831
2.819
2.807
2.797
2.787
1.063
1.323
1.321
1.319
1.318
1.316
21
0.859
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
3.135
3.119
3.527
3.505
3.485
3.467
3.450
3.819
3.792
0.858 1.061
22
23
24
25
0.858 1.060
0.857 1.059
0.856 1.058
2.069
2.064
2.060
3.104
3.091
3.078
3.768
3.745
3.725
26
27
28
29
30
0.684
0.684
0.683
0.683
0.683
1.315
1.314
1.313
1.311
1.310
2.479
2.473
2.467
2.462
2.457
0.856 1.058
0.855 1.057
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.147
2.779
2.771
2.763
2.756
2.750
3.067
0.855 1.056
0.854 1.055
0.854 1.055
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
3.633
3.622
3.611
3.601
3.591
0.853 1.054
0.853 1.054
2.144
2.141
2.138
2.136
2.133
31
32
33
34
35
0.682
0.682
0.682
0.682
0.682
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.030
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
nd
0.853 1.053
0.852 1.052
0.852 1.052
36
37
38
39
0.681
0.681
0.681
0.852 1.052
0.851 1.051
0.851
1.306
1.305
1.304
1.304
1.303
1.688
1.687
1.686
1.685
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
5125
2.434
2.431
2.429
2.426
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
1.051
1.050
0.851
0.851 1.050
2.125
2.123
0.681
40
0.681
1.684
2.423
50
60
70
0.679
0.679
0.678
0.678
0.677
0.849 1.047
0.848 1.045
0.847 1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.676
1.671
1.667
1.664
1.662
2.009
2.000
1.994
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2,899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
80
90
0.846
1.990
1.987
0.846
1.291
2.368
100
1000
0,677
0.675
0.674
1.042
0.842 1.037
0.842 1.036
1.660
1.646
1.645
1.984
1.962
1.960
2.081
2.056
2.054
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300
3.291
0,845
1.290
1.282
1.282
2.364
2.330
2.326
2.626
2.581
2.576
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
Transcribed Image Text:The following data represent the pH of rain for a random sample of 12 rain dates. A normal
probability plot suggests the data could come from a population that is normally distributed. A
boxplot indicates there are no outliers. Complete parts a) through d) below.
5.20
5.72
5.24
4.80
4.74
4.56
5.02
4.57
5.19
5.34
4.76
5.71
Click the icon to view the table of critical t-values.
(a) Determine a point estimate for the population mean.
A point estimate for the population mean is 5.07.
(Round to two decimal places as needed.)
(b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. 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.)
O A. If repeated samples are taken, 95% of them will have a sample pH of rain water between
and
O B. There is 95% confidence that the population mean pH of rain water is between 4.82 and 5.32.
O C. There is a 95% probability that the true mean pH of rain water is between
and
(c) Construct and interpret a 99% confidence inte
choice.
(Use ascending order. Round to two decimal places as needed.)
for the mean pH of rainwater. Select the
choice below and fill in the ans
to complete your
O A. If repeated samples are taken, 99% of them will have a sample pH of rain water between
and
O B. There is a 99% probability that the true mean pH of rain water is between
and
O C. There is 99% confidence that the population mean pH of rain water is between
and
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