(d) Explain why the confidence intervals obtained in parts (b) and (c) are different. Choose the correct answer below. OA. They are different because they represent different populations. The populations have different means and standard deviations that lead to different confidence intervals OB. They are different because of variation in sampling. The samples have different means and standard deviations that lead to different confidence intervals.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question

Solve for D)

The trade volume of a stock is the number of shares traded on a given day. The data in the first accompanying table, in millions (so that 6.16 represents 6,160,000 shares traded), represent the volume of a PepsiCo stock traded for a random sample of 38 trading days in 2018. A
second random sample of 38 days in 2018 resulted in the data in the second accompanying table. Complete parts (a) through (d).
Click here to view the data for sample 1.
Click here to view the data for sample 2.
Click here to view the table of critical t-values.
(a) Use the data from sample 1 to compute a point estimate for the population mean number of shares traded per day in 2018.
A point estimate for the population mean number of PepsiCo shares traded per day in 2018 is 5.48 million.
(Round to two decimal places as needed.)
(b) Using the data from sample 1, construct a 95% confidence interval for the population mean number of shares traded per day in 2018. Interpret the confidence interval.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A. There is a
B. One can be
LOC. One can be
% probability that the population mean number of shares of PepsiCo stock traded per day in 2018 is between
million and million
95% confident that the population mean number of shares of PepsiCo stock traded per day in 2018 is between 4 99 million and 5.97 million.
million and
% confident that the number of shares of PepsiCo stock traded in all days of 2018 is between
D. The number of shares of PepsiCo stock traded per day is between million and million for % of all days in 2018.
million.
(c) Using the data from sample 2, construct another 95% confidence interval for the population mean number of shares traded per day in 2018. Interpret the confidence interval.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A. One can be 95% confident that the population mean number of shares of PepsiCo stock traded per day in 2018 is between 5.23 million and 6.27 million.
OB. The number of shares of PepsiCo stock traded per day is between million and
million for % of all days in 2018.
% probability that the mean population number of shares of PepsiCo stock traded per day in 2018 is between
OC. There is a
OD. One can be
% confident that the number of shares of PepsiCo stock traded in all days of 2018 is between
(d) Explain why the confidence intervals obtained in parts (b) and (c) are different. Choose the correct answer below.
O A. They are different because they represent different populations. The populations have different means and standard deviations that lead to different confidence intervals.
O B. They are different because of variation in sampling. The samples have different means and standard deviations that lead to different confidence intervals.
million and
million and million.
million.
4
Transcribed Image Text:The trade volume of a stock is the number of shares traded on a given day. The data in the first accompanying table, in millions (so that 6.16 represents 6,160,000 shares traded), represent the volume of a PepsiCo stock traded for a random sample of 38 trading days in 2018. A second random sample of 38 days in 2018 resulted in the data in the second accompanying table. Complete parts (a) through (d). Click here to view the data for sample 1. Click here to view the data for sample 2. Click here to view the table of critical t-values. (a) Use the data from sample 1 to compute a point estimate for the population mean number of shares traded per day in 2018. A point estimate for the population mean number of PepsiCo shares traded per day in 2018 is 5.48 million. (Round to two decimal places as needed.) (b) Using the data from sample 1, construct a 95% confidence interval for the population mean number of shares traded per day in 2018. Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. There is a B. One can be LOC. One can be % probability that the population mean number of shares of PepsiCo stock traded per day in 2018 is between million and million 95% confident that the population mean number of shares of PepsiCo stock traded per day in 2018 is between 4 99 million and 5.97 million. million and % confident that the number of shares of PepsiCo stock traded in all days of 2018 is between D. The number of shares of PepsiCo stock traded per day is between million and million for % of all days in 2018. million. (c) Using the data from sample 2, construct another 95% confidence interval for the population mean number of shares traded per day in 2018. Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. One can be 95% confident that the population mean number of shares of PepsiCo stock traded per day in 2018 is between 5.23 million and 6.27 million. OB. The number of shares of PepsiCo stock traded per day is between million and million for % of all days in 2018. % probability that the mean population number of shares of PepsiCo stock traded per day in 2018 is between OC. There is a OD. One can be % confident that the number of shares of PepsiCo stock traded in all days of 2018 is between (d) Explain why the confidence intervals obtained in parts (b) and (c) are different. Choose the correct answer below. O A. They are different because they represent different populations. The populations have different means and standard deviations that lead to different confidence intervals. O B. They are different because of variation in sampling. The samples have different means and standard deviations that lead to different confidence intervals. million and million and million. million. 4
Click here to view the data for sample 2.
Click here to view the table of critical t-values.
(a)
Ap
(R
(b)
Se
(R
OS
(c)
Se
OOOGOS
(R
Sample 1 Volumes (millions)
Sample 1
6.16
4.98
5.55
4.28
7.28
6.39
4.02
6.69
5.32
5.05
4.95
3.25
4.92
4.41
4.97
5.07
4.80
6.92
4.16
Print
7.54
8.88
7.56
6.10
4.00
6.22
4.64
6.96
6.71
2.37
4.84
4.13
6.67
6.23
7.71
7.29
3.94
5.04
2.42
Done
Sample 2 Volumes (millions)
Sample 2
6.12
4.49
8.57
3.65
6.89
5.73
6.34
3.65
4.80
5.08
6.85
5.90
4.52
3.39
5.00
7.76
5.99
5.68
4.89
Print
10.96
5.27
7.65
4.96
3.79
4.54
4.85
8.13
5.14
5.75
5.46
4.81
6.69
7.84
6.04
6.58
6.74
4.37
3.71
0
Done
(d) Explain why the confidence intervals obtained in parts (b) and (c) are different. Choose the correct answer below.
OA. They are different because they represent different populations. The populations have different means and standa
Table of Critical t-Values
Table VII
Degrees of
Freedom
65 92884 85555 ======cG75XLC-
21
25
26
27
Area in
right tail
t-Distribution
Area in Right Tail
0.20
0.15
0.05 0.025
0.02
0.695
0.694
0.692
0.691
0.690
0.689
0.688
0.688
0.10
1.000 1.376 1.963 3.078 6.314 12.706 15.894
0.816 1061 1.386 1.886 2.920 4.303 4.849
0.765 0.978 1.250 1.638 2.353 3.182 3.482
0.741 0.941 1.190 1.533 2.132 2.776 2.999
0.727 0.920 1.156 1.476 2.015 2.571 2.757
0.718 0.906 1.134
1.440 1943 2.447 2.612
0.711 0.896 1.119 1.415 1895 2.36.5 2517
0,706 0.889 1.108 1.397 1.860 2.306 2.449
0.703 0.883 1.100 1.383 1.833 2.262 2.398
0.700 0.879 1.093 1372 1.812 2.228 2359
0.697 0.876 1.088 1363 1.796
2.328
0.873 1.083 1356 1.782
2303
0.870 1.079 1350 1.771
2.282
0.868 1.076 1345 1.761
2.264
0.866 1.074 1341 1.753
2.249
0.865 1.071 1337 1.746 2.120 2.235
0.863 1.069 1.333 1.740 2.110 2.224
0.862 1.067 1.330 1.734 2.101 2.214
0.861 1.066 1328 1.729 2.09.3 2.205
0.860 1.064 1325 1.725 2.086 2.197
0.859 1.063 1.323 1721 2,080 2.189
0.858 1.061 1.321 1717 2.074 2.183
0.858 1.060 1.319 1714 2.069 2177
0.857 1.059 1.318
2.064 2.172
0.684 0.856 1.058 1316
2.060 2167
0.684 0.856 1.058 1315 1706 2056 2.162
0.855
0.684
1.057 1314 1703 2,052 2158
0.687
0.686
0.686
0.685
0.685
1708
2.201
2.179
2.160
2.145
2.131
4
10.01 0.005
31.821 63.657
6.965 9.925
4.541
3.747 4.604
3.365 4.032
3.143 3.707
2.998 3.499
2.896 3.355
2.821 3.250
2.764 3169
2.718 3.106
2.681 3.055
2.650 3.012
2.624 2.977
2.602 2.947
2.583 2.921
2.567 2.898
2552 2.878
2.539 2.861
2.528 2,845
2,518 2.831
2.508 2.819
2.500 2.807
2.492 2.797
2.485 2.787
2.479 2.779
2.473 2.771
0.0025
127321 318.309 636.619
14.089 22.327 31.599
7453 10,215 12.924
5.598 7173
8.610
4.773 5.893 6.869
4.317
5.959
4.029
5.408
3.833
5.041
3.690
4.781
3.581
4.587
4.437
4318
3.497
3.428
3.372
3.326
3.286
3.252
3.2.20
3.197
3.174
3.153
3.138
3.119
3.104
3.091
3.078
3.067
3.057
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527
3.508
3.485
3.467
3.450
0.0005
3.435
3.421
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.768
3.745
3.725
3.707
3.690
Transcribed Image Text:Click here to view the data for sample 2. Click here to view the table of critical t-values. (a) Ap (R (b) Se (R OS (c) Se OOOGOS (R Sample 1 Volumes (millions) Sample 1 6.16 4.98 5.55 4.28 7.28 6.39 4.02 6.69 5.32 5.05 4.95 3.25 4.92 4.41 4.97 5.07 4.80 6.92 4.16 Print 7.54 8.88 7.56 6.10 4.00 6.22 4.64 6.96 6.71 2.37 4.84 4.13 6.67 6.23 7.71 7.29 3.94 5.04 2.42 Done Sample 2 Volumes (millions) Sample 2 6.12 4.49 8.57 3.65 6.89 5.73 6.34 3.65 4.80 5.08 6.85 5.90 4.52 3.39 5.00 7.76 5.99 5.68 4.89 Print 10.96 5.27 7.65 4.96 3.79 4.54 4.85 8.13 5.14 5.75 5.46 4.81 6.69 7.84 6.04 6.58 6.74 4.37 3.71 0 Done (d) Explain why the confidence intervals obtained in parts (b) and (c) are different. Choose the correct answer below. OA. They are different because they represent different populations. The populations have different means and standa Table of Critical t-Values Table VII Degrees of Freedom 65 92884 85555 ======cG75XLC- 21 25 26 27 Area in right tail t-Distribution Area in Right Tail 0.20 0.15 0.05 0.025 0.02 0.695 0.694 0.692 0.691 0.690 0.689 0.688 0.688 0.10 1.000 1.376 1.963 3.078 6.314 12.706 15.894 0.816 1061 1.386 1.886 2.920 4.303 4.849 0.765 0.978 1.250 1.638 2.353 3.182 3.482 0.741 0.941 1.190 1.533 2.132 2.776 2.999 0.727 0.920 1.156 1.476 2.015 2.571 2.757 0.718 0.906 1.134 1.440 1943 2.447 2.612 0.711 0.896 1.119 1.415 1895 2.36.5 2517 0,706 0.889 1.108 1.397 1.860 2.306 2.449 0.703 0.883 1.100 1.383 1.833 2.262 2.398 0.700 0.879 1.093 1372 1.812 2.228 2359 0.697 0.876 1.088 1363 1.796 2.328 0.873 1.083 1356 1.782 2303 0.870 1.079 1350 1.771 2.282 0.868 1.076 1345 1.761 2.264 0.866 1.074 1341 1.753 2.249 0.865 1.071 1337 1.746 2.120 2.235 0.863 1.069 1.333 1.740 2.110 2.224 0.862 1.067 1.330 1.734 2.101 2.214 0.861 1.066 1328 1.729 2.09.3 2.205 0.860 1.064 1325 1.725 2.086 2.197 0.859 1.063 1.323 1721 2,080 2.189 0.858 1.061 1.321 1717 2.074 2.183 0.858 1.060 1.319 1714 2.069 2177 0.857 1.059 1.318 2.064 2.172 0.684 0.856 1.058 1316 2.060 2167 0.684 0.856 1.058 1315 1706 2056 2.162 0.855 0.684 1.057 1314 1703 2,052 2158 0.687 0.686 0.686 0.685 0.685 1708 2.201 2.179 2.160 2.145 2.131 4 10.01 0.005 31.821 63.657 6.965 9.925 4.541 3.747 4.604 3.365 4.032 3.143 3.707 2.998 3.499 2.896 3.355 2.821 3.250 2.764 3169 2.718 3.106 2.681 3.055 2.650 3.012 2.624 2.977 2.602 2.947 2.583 2.921 2.567 2.898 2552 2.878 2.539 2.861 2.528 2,845 2,518 2.831 2.508 2.819 2.500 2.807 2.492 2.797 2.485 2.787 2.479 2.779 2.473 2.771 0.0025 127321 318.309 636.619 14.089 22.327 31.599 7453 10,215 12.924 5.598 7173 8.610 4.773 5.893 6.869 4.317 5.959 4.029 5.408 3.833 5.041 3.690 4.781 3.581 4.587 4.437 4318 3.497 3.428 3.372 3.326 3.286 3.252 3.2.20 3.197 3.174 3.153 3.138 3.119 3.104 3.091 3.078 3.067 3.057 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.579 3.552 3.527 3.508 3.485 3.467 3.450 0.0005 3.435 3.421 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690
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