[:1 5 of 9 ID MST.NDM.MPD 010 3 p 'nts] The Mean Corporation has two major franchise operations each with many outlets across the country: a coffee house franchise and a fast food franchise. For both franchises, a statistician has collected and analyzed data for the annual profits of the I outlets. Figures for the means and standard deviations are presented in the table below. m... Mean Franchlsa devlatlon Cor oration ($) ($) Coffee 260,500 43,000 Fastfood 572,000 94,500 John Q owns both a coffee and fast food franchise. His annual prot for the coffee house is $376,600 and his annual prot for the fast food franchise is $742,100. a) Calculate the standardized values for both franchises. Give your answer rounded to 1 decimal place. Coffee standardized value = Fast food standardized Value = b) Relative to the rest of the outlets in each group, John's coffee franchise is performing 9 than his fast food franchise. macro ID. MST.NDM.MPD.01. 050 [1 pa t] The Mean Corporation operates out of two major cities, City A and City B. It has a head ofce for each city and each ofce has thousands of employees. A computer competency exam is administered to all staff in each head office and the results are recorded. The CEO decides that he would like to compare the performance of the two offices. He labels the two groups of staff City A and City B and looks at their distribution of scores. ., pn'v: "whom, a... 5w. t The CEO is told that both City A and City B have the same mean score. However, City A is a consistent than City 8 because the standard deviation for City A is 9 than the standard deviation for City B. E] 7 of 9 ID. MST. PD. 0. 3. 070 [1 pa 1:] The education department of state is interested in funding an education assistance program for 12 year-old children whose intelligence quotients lie in the bottom 5% of the population. According to national data, the IQ's of the 12 year-old population are normally distributed with a mean of 97 and a standard deviation of 13. Calculate the IQ below which a child would be eligible to apply for this education assistance program (X). Give your answer as a whole number: E 7 of 9 ID: MST.CPD.ND.03.0070 [1 point] The education department of state is interested in funding an education assistance program for 12 year-old children whose intelligence quotients lie in the bottom 5% of the population. According to national data, the IQ's of the 12 year-old population are normally distributed with a mean of 97 and a standard deviation of 13. Calculate the IQ below which a child would be eligible to apply for this education assistance program (X). Give your answer as a whole number. x = E] a of 9 ID: MST.CPD.ND.O4.0010 [1 point] You are the coach of a basketball team that is currently looking for new players. One of the criteria for selection as a player is ( ' that the person must be above a particular height. Ideally, you want your next player to be as tall as possible. However, you do " not want to rule out any potential players by making the cut-off height too strict. You decide that accepting players within the top 2.5% height bracket will be reasonable for your team. Assume that the height of all people follows a normal distribution with a mean of 68.6 in and a standard deviation of 3.3 in. Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team. Give your answer in inches to the nearest inch. (3: in 9 of9 ID. MST. PD [2 p nts] Let X be a normal random variable with a mean of 0,25 and a standard deviation of 4.55. a) Calculate the corresponding standardized value (1) for the point x = 4.8. Give your answer to 2 decimal places. 1 = b) The area under the standard normal probability density function from negative infinity to z is interpreted as the probability that the random variable is: less than or equal to 2 equal to z greater than or equal to 2 Submit answers I Bookmark Perdisca / Iatm /, v., to learn thoroughly cc) 2005 , 2017 Perdlsco geLQUjLQ Terms or Use l Privacy Pollcv l Thursday. September 22 2022, 10 27