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In 2017, Americans spent a record-high $9.1 billion on Halloween-related purchases (the balance website). Sample data showing the amount, in dollars, 16 adults spent on a Halloween costume are as follows. 14 68 25 64 31 33 32 44 50 15 16 96 46 35 64 28 a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)? $ b. What is the sample standard deviation (to 2 decimals)? $ c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Halloween costume (to 2 decimals). Use Table 11.1. so≤8 $

In 2017, Americans spent a record-high $9.1 billion on Halloween-related purchases (the balance website). Sample data showing the amount, in dollars, 16 adults spent on a Halloween costume are as follows. 14 68 25 64 31 33 32 44 50 15 16 96 46 35 64 28 a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)? $ b. What is the sample standard deviation (to 2 decimals)? $ c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Halloween costume (to 2 decimals). Use Table 11.1. so≤8 $

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In 2017, Americans spent a record-high $9.1 billion on Halloween-related purchases (the balance website). Sample data showing the amount, in dollars, 16 adults spent on a Halloween costume are as follows. 14 68 25 64 31 33 32 44 50 15 16 96 46 35 64 28 a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)? $ b. What is the sample standard deviation (to 2 decimals)? $ c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Halloween costume (to 2 decimals). Use Table 11.1. sos$ $
Transcribed Image Text:In 2017, Americans spent a record-high $9.1 billion on Halloween-related purchases (the balance website). Sample data showing the amount, in dollars, 16 adults spent on a Halloween costume are as follows. 14 68 25 64 31 33 32 44 50 15 16 96 46 35 64 28 a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)? $ b. What is the sample standard deviation (to 2 decimals)? $ c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Halloween costume (to 2 decimals). Use Table 11.1. sos$ $
TABLE 11.1 Selected Values from the Chi-Square Distribution Table* Area or probability Degrees of Freedom .99 .975 1 Xa Area in Upper Tail .95 .90 .10 .05 .01 .000 .001 .004 .016 2.706 3.841 5.024 6.635 .020 .051 .103 211 4.605 5.991 7.378 9.210 .115 .216 .352 584 6.251 7.815 9.348 11.345 297 .484 .711 1.064 7.779 9.488 11.143 13.277 .554 .831 1.145 1.610 9.236 11.070 12.832 15.086 1.635 2.204 10.645 12.592 14.449 16.812 2.833 12.017 14.067 16.013 2.167 18.475 15.507 17.535 20.090 2.733 3.490 13.362 3.325 4.168 14.684 16.919 19.023 21.666 .872 1.237 1.239 1.690 1.647 2.180 2.088 2.700 2.558 3.247 3.053 3.816 3.571 4.404 4.107 5.009 4.660 5.629 3.940 4.865 15.987 18.307 20.483 23.209 24.725 17.275 19.675 21.920 4.575 5.578 5.226 6.304 5.892 18.549 21.026 23.337 26.217 7.041 19.812 22.362 24.736 27.688 6.571 7.790 21.064 23.685 26.119 29.141 7.261 8.547 22.307 24.996 27.488 30.578 7.962 9.312 23.542 26.296 28.845 32.000 8.672 10.085 24.769 27.587 30.191 33.409 9.390 10.865 25.989 28.869 31.526 34.805 10.117 11.651 27.204 30.144 32.852 36.191 28.412 31.410 34.170 37.566 38.932 5.229 6.262 5.812 6.908 6.408 7.564 7.015 8.231 7.633 8.907 8.260 9.591 8.897 10.283 9.542 10.982 10.196 11.689 10.856 12.401 11.524 13.120 12.198 13.844 12.878 14.573 16.151 13.565 15.308 16.928 10.851 12.443 11.591 13.240 12.338 14.041 13.091 14.848 13.848 15.659 40.289 29.615 32.671 35.479 30.813 33.924 36.781 32.007 35.172 38.076 39.364 41.638 33.196 36.415 42.980 14.611 16.473 34.382 37.652 40.646 44.314 26 15.379 17.292 35.563 38.885 41.923 45.642 36.741 40.113 43.195 46.963 27 18.114 28 29 37.916 41.337 44.461 48.278 39.087 42.557 49.588 45.722 43.773 46.979 50.892 14.953 16.791 18.939 14.256 16.047 17.708 19.768 18.493 20.599 22.164 26.509 29.051 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 53.540 57.153 60.391 64.278 96.578 101.879 106.629 112.329 100 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 40.256 51.805 40 24.433 55.758 59.342 63.691 80 *Note: A more extensive table is provided as Table 3 of Appendix B (available online). 234 SATHY DONNA SCAR 22 ~ 29288 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 30 60 .025
Transcribed Image Text:TABLE 11.1 Selected Values from the Chi-Square Distribution Table* Area or probability Degrees of Freedom .99 .975 1 Xa Area in Upper Tail .95 .90 .10 .05 .01 .000 .001 .004 .016 2.706 3.841 5.024 6.635 .020 .051 .103 211 4.605 5.991 7.378 9.210 .115 .216 .352 584 6.251 7.815 9.348 11.345 297 .484 .711 1.064 7.779 9.488 11.143 13.277 .554 .831 1.145 1.610 9.236 11.070 12.832 15.086 1.635 2.204 10.645 12.592 14.449 16.812 2.833 12.017 14.067 16.013 2.167 18.475 15.507 17.535 20.090 2.733 3.490 13.362 3.325 4.168 14.684 16.919 19.023 21.666 .872 1.237 1.239 1.690 1.647 2.180 2.088 2.700 2.558 3.247 3.053 3.816 3.571 4.404 4.107 5.009 4.660 5.629 3.940 4.865 15.987 18.307 20.483 23.209 24.725 17.275 19.675 21.920 4.575 5.578 5.226 6.304 5.892 18.549 21.026 23.337 26.217 7.041 19.812 22.362 24.736 27.688 6.571 7.790 21.064 23.685 26.119 29.141 7.261 8.547 22.307 24.996 27.488 30.578 7.962 9.312 23.542 26.296 28.845 32.000 8.672 10.085 24.769 27.587 30.191 33.409 9.390 10.865 25.989 28.869 31.526 34.805 10.117 11.651 27.204 30.144 32.852 36.191 28.412 31.410 34.170 37.566 38.932 5.229 6.262 5.812 6.908 6.408 7.564 7.015 8.231 7.633 8.907 8.260 9.591 8.897 10.283 9.542 10.982 10.196 11.689 10.856 12.401 11.524 13.120 12.198 13.844 12.878 14.573 16.151 13.565 15.308 16.928 10.851 12.443 11.591 13.240 12.338 14.041 13.091 14.848 13.848 15.659 40.289 29.615 32.671 35.479 30.813 33.924 36.781 32.007 35.172 38.076 39.364 41.638 33.196 36.415 42.980 14.611 16.473 34.382 37.652 40.646 44.314 26 15.379 17.292 35.563 38.885 41.923 45.642 36.741 40.113 43.195 46.963 27 18.114 28 29 37.916 41.337 44.461 48.278 39.087 42.557 49.588 45.722 43.773 46.979 50.892 14.953 16.791 18.939 14.256 16.047 17.708 19.768 18.493 20.599 22.164 26.509 29.051 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 53.540 57.153 60.391 64.278 96.578 101.879 106.629 112.329 100 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 40.256 51.805 40 24.433 55.758 59.342 63.691 80 *Note: A more extensive table is provided as Table 3 of Appendix B (available online). 234 SATHY DONNA SCAR 22 ~ 29288 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 30 60 .025
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