A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports? Find the t-table here. (4.396, 8.104) (4.865, 7.635) (5.097, 7.404) (5.245, 7.256)
A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports? Find the t-table here. (4.396, 8.104) (4.865, 7.635) (5.097, 7.404) (5.245, 7.256)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?
Find the t-table here.
(4.396, 8.104)
(4.865, 7.635)
(5.097, 7.404)
(5.245, 7.256)
![9
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.703 .883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781
1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587
.700 .879
.697 .876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437
.695
.873
1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 4.930 4.318
.694
.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221
1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140
.692 .868
.691 .866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073
.690 .865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015
.689
.863
1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965
.688
.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922
.687 .860
.688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883
1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850
1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819
1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792
.686 .859
.686
.858
1.061 1.321
.685
.858
1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768
.685
.684
.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745
.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725
1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707
.684
.856
.684 .855
1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690
.683 .855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674
.683 .854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92dccbcf-9bce-41ca-b21f-e7956f70d7ee%2Fa146c6e3-6f9e-481f-9362-50f59170ff1f%2F4qnybic_processed.png&w=3840&q=75)
Transcribed Image Text:9
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29
.703 .883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781
1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587
.700 .879
.697 .876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437
.695
.873
1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 4.930 4.318
.694
.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221
1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140
.692 .868
.691 .866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073
.690 .865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015
.689
.863
1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965
.688
.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922
.687 .860
.688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883
1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850
1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819
1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792
.686 .859
.686
.858
1.061 1.321
.685
.858
1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768
.685
.684
.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745
.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725
1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707
.684
.856
.684 .855
1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690
.683 .855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674
.683 .854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659
![Probability
^
df
1
2
3
4
5
6
7
8
t*
Probability p
Table entry for p and C is the point * with probability p lying to its right and probability C lying between -t*
and t*.
t Distribution Critical Values
Tail Probability p
.25 .20
.15
.10
.05 .025 .02 .01
.005 .0025 .001 .0005
1.000 1.376
1.963 3.078
6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6
14.09 22.33 31.60
.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925
.765 .978
1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.21 12.92
.741 .941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610
.727 .920
1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869
.718 .906
1.134 1.440 1.943 2.447
2.612 3.143 3.707 4.317 5.208 5.959
.711 .896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408
.706
.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92dccbcf-9bce-41ca-b21f-e7956f70d7ee%2Fa146c6e3-6f9e-481f-9362-50f59170ff1f%2Fcermep_processed.png&w=3840&q=75)
Transcribed Image Text:Probability
^
df
1
2
3
4
5
6
7
8
t*
Probability p
Table entry for p and C is the point * with probability p lying to its right and probability C lying between -t*
and t*.
t Distribution Critical Values
Tail Probability p
.25 .20
.15
.10
.05 .025 .02 .01
.005 .0025 .001 .0005
1.000 1.376
1.963 3.078
6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6
14.09 22.33 31.60
.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925
.765 .978
1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.21 12.92
.741 .941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610
.727 .920
1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869
.718 .906
1.134 1.440 1.943 2.447
2.612 3.143 3.707 4.317 5.208 5.959
.711 .896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408
.706
.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041
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