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
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Chapter1: Starting With Matlab
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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)
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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
Transcribed Image Text:9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 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
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5
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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
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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