# Out of 1 1 point point 3 points points 79 in rounded

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[1 out of 1][1point] point]7 of 9ID: MST.CPD.ND.03.0060A group of mutual funds earned varying annual rates of return in the last year. These rates of return are normallydistributed with a mean of 7% and a standard deviation of 20%.One mutual fund in this group managed to earn a rate of return that was double that of this group's average thatyear. This performance would put the fund in the top X% of those funds in that year.Calculate X%. Give your answer to 1 decimal place.=79 inRounded as last step%
[3points] points]8 of 9ID: MST.NDM.MPD.04.0010The Mean Corporation has two major franchise operations each with manyoutlets across the country: a coffee house franchise and a fast food franchise.For both franchises, a statistician has collected and analyzed data for the annualprofits of the outlets. Figures for the means and standard deviations arepresented in the table below.FranchiseMean(\$)Standarddeviation(\$)Coffee286,50040,500
[3 out of 3]John Q owns both a coffee and fast food franchise. His annual profit for the coffee house is \$391,800 and his annualprofit for the fast food franchise is \$690,600.Calculate the standardized values for both franchises. Give your answer rounded to 1 decimal place.Coffee standardized value =2.6Fast food standardized value =1.8Relative to the rest of the outlets in each group, John's coffee franchise is performingbetterthan his fastfood franchise.FeedbackYou are correct.You are correct.DiscussionThe standardized value is a measure of the number of standard deviations by which a value deviates from themean. When given two values from separate populations the most objective method of comparing them is tocalculate their standardized value. The value that is highest relative to their own population is the value whichhas the highest standardized value.Coffee franchiseThe standardized value can be calculated using the following formula:show variablesz=x - μσ=391,800 - 286,50040,500=105,30040,500=2.6Fast food franchiseThe standardized value can be calculated using the following formula:show variablesz=x - μσ=690,600 - 516,00097,000=174,60097,000=1.8a)b)a)b)a)

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