{"id":47455,"date":"2022-03-31T21:35:56","date_gmt":"2022-03-31T21:35:56","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/1how-hot-is-the-air-in-the-top-crown-of-a-hot-air-balloon\/"},"modified":"2022-03-31T21:35:56","modified_gmt":"2022-03-31T21:35:56","slug":"1how-hot-is-the-air-in-the-top-crown-of-a-hot-air-balloon","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/1how-hot-is-the-air-in-the-top-crown-of-a-hot-air-balloon\/","title":{"rendered":"1)how hot is the air in the top (crown) of a hot air balloon?"},"content":{"rendered":"<div>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" name=\"_GoBack\"><span>1)How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100\u00b0C for a balloon to be in a state of equilibrium. However, the temperature does not need to be exactly 100\u00b0C. What is a reasonable and safe range of temperatures? This range may vary with the size and (decorative) shape of the balloon. All balloons have a temperature gauge in the crown. Suppose that 53 readings (for a balloon in equilibrium) gave a mean temperature of x = 97\u00b0C. For this balloon, \u03c3 \u2248 13\u00b0C.<\/span><\/p>\n<p><span><span>(a) Compute a 95% confidence interval for the average temperature at which this balloon will be in a steady-state equilibrium. (Round your answers to one decimal place.)<\/span><\/span><\/p>\n<p><span><span>lower limit\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00b0C<\/span><\/span><\/p>\n<p><span><span>upper limit\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00b0C<\/span><\/span><\/p>\n<p><span><span>(b) If the average temperature in the crown of the balloon goes above the high end of your confidence interval, do you expect that the balloon will go up or down? Explain.<\/span><\/span><\/p>\n<p><span><span>It will go down because hot air will make the balloon fall.<\/span><\/span><\/p>\n<p><span><span>It will go down because hot air will make the balloon rise.\u00a0\u00a0\u00a0<\/span><\/span><\/p>\n<p><span><span>It will go up because hot air will make the balloon rise.<\/span><\/span><\/p>\n<p><span><span>It will go up because hot air will make the balloon fall.<\/span><\/span><\/p>\n<p><span><span>2) We can use the random number table to simulate outcomes from a given discrete probability distribution. Jose plays basketball and has probability 0.7 of making a free-throw shot. Let x be the random variable that counts the number of successful shots out of 10 attempts. Consider the digits 0 through 9 of the random number table. Since Jose has a 70% chance of making a shot, assign the digits 0 through 6 to &#8220;making a basket from the free throw line&#8221; and the digits 7 through 9 to &#8220;missing the shot.&#8221;<\/span><\/span><\/p>\n<p><span><span>(a) Do 70% of the possible digits 0 through 9 represent &#8220;making a basket&#8221;?<\/span><\/span><\/p>\n<p><span><span>No. Seven of the 10 digits represent &#8220;making a basket.&#8221;<\/span><\/span><\/p>\n<p><span><span>Yes. Three of the 10 digits represent &#8220;making a basket.&#8221;\u00a0\u00a0\u00a0<\/span><\/span><\/p>\n<p><span><span>Yes. Seven of the 10 digits represent &#8220;making a basket.&#8221;<\/span><\/span><\/p>\n<p><span><span>No. Three of the 10 digits represent &#8220;making a basket.&#8221;<\/span><\/span><\/p>\n<p><span><span>(b) Start at line 2, column 1 of the random number table. Going across the row, determine the results of 10 &#8220;trials.&#8221; How many free-throw shots are successful in this simulation?<\/span><\/span><\/p>\n<p><span><span>\u00a0<\/span><\/span><\/p>\n<p><span><span>(c) Your friend decides to assign the digits 0 through 2 to &#8220;missing the shot&#8221; and the digits 3 through 9 to &#8220;making the basket.&#8221; Is this assignment valid? Explain.<\/span><\/span><\/p>\n<p><span><span>No. Three of the 10 digits represent &#8220;making a basket.&#8221;<\/span><\/span><\/p>\n<p><span><span>Yes. Seven of the 10 digits represent &#8220;making a basket.&#8221;\u00a0\u00a0\u00a0<\/span><\/span><\/p>\n<p><span><span>Yes. Three of the 10 digits represent &#8220;making a basket.&#8221;<\/span><\/span><\/p>\n<p><span><span>No. Seven of the 10 digits represent &#8220;making a basket.&#8221;<\/span><\/span><\/p>\n<p><span><span>3) Using this information and the histograms shown above, construct a frequency table for the highway mileages of the same cars. Use class boundaries 16.5, 20.5, 24.5, 28.5, 32.5, 36.5, and 40.5.<\/span><\/span><\/p>\n<p><span><span>Class Boundaries\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Frequency<\/span><\/span><\/p>\n<p><span><span>\u00a0 \u2212\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/span><\/span><\/p>\n<p><span><span>\u00a0 \u2212\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/span><\/span><\/p>\n<p><span><span>\u00a0 \u2212\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/span><\/span><\/p>\n<p><span><span>\u00a0 \u2212\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/span><\/span><\/p>\n<p><span><span>\u00a0 \u2212\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/span><\/span><\/p>\n<p><span><span>\u00a0 \u2212\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span><\/p>\n<p><span>\u00a0<\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>1)How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100\u00b0C for a balloon to be in a state of equilibrium. However, the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-47455","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/47455","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/comments?post=47455"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/47455\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=47455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=47455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=47455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}