33 The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.(a) Compute the z-score corresponding to the individual who obtained 40.6 miles per gallon. Interpret this result.(b) Determine the quartiles.(c) Compute and interpret the interquartile range, IQR.(d) Determine the lower and upper fences. Are there any outliers?MPG dataClick the icon to view the data.32.535.937.838.740.142.3.... .(a) Compute the z-score corresponding to the individual who obtained 40.6 miles per gallon. Interpret this result.34.236.337.939.040.642.734.637.338.339.541.343.3The z-score corresponding to the individual is and indicates that the data value isstandard deviation(s)the35.737.638.539.741.748.9(Type integers or decimals rounded to two decimal places as needed.)(b) Determine the quartiles.Q,mpgPrintDoneQ2mpg%3Dmpg(Type integers or decimals. Do not round.)(c) Compute and interpret the interquartile range, IQR. Select the correct choice below and fill in the answer box to complete your choice.(Type an integer or a decimal. Do not round.)The interquartile range ismpg. It is the range of(d) Determine the lower and upper fences. Are there any outliers?The lower fence isThe upper fence is(Type integers or decimals. Do not round.)Are there any outliers? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The outlier(s) is/are .(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)B. There are no outliers.

Name: 33 The accompanying data represent the miles per gallon of a random sa
Uploaded: 2022-12-02T21:54:34.000Z
Channel: Bartleby
Description: 33 The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.(a) Compute the z-score corresponding to the individual who obtained 40.6 miles per gallon. Interpret this result.(b) Determine

Given data is32.5,35.9,37.8,38.7,40.1,42.3,34.2,36.3,37.9,39.0,40.6,42.7,34.6,37.3,38.3,39.5,41.3,43.3,35.7,37.6,38.5,39.7,41.7,48.9sample size(n)=24from given data Mean(x)=38.93standard deviation(s)=3.48a)x=40.6 miles per gallonz-score=x-μσz=40.6-38.933.48z=0.49The z-score corresponding to the individual is 0.49 and indicates that the data value is 0.49 standard deviations more the meanb)arrange the given data in ascending order32.5,34.2,34.6,35.7,35.9,36.3,37.3,37.6,37.8,37.9,38.3,38.5,38.7,39.0,39.5,39.7,40.1,40.6,41.3,41.7,42.3,42.7,43.3,48.9Q1=(n+14)th termQ1=(24+14)th termQ1=6.25th termQ1=6th term+0.25(difference betweeen 7th and 6th terms)Q1=36.3+0.25(37.3-36.3)Q1=36.55Q2=Median=38.5+38.72=38.6Q3=3(n+14)th termQ3=3(6.25)th term Q3=18.75th termQ3=18th term+0.75(difference between 19th and 18th terms)Q3=40.6+0.75(41.3-40.6)Q3=41.125Q1=36.55 mpgQ2=38.6 mpgQ3=41.125 mpgc)Interquartile range(IQR) = Q3-Q1IQR = 41.125-36.55IQR = 4.575The inerquartile range is 4.575 mpg.It is the range of middle 50% of valuesd)The lower fence is=Q1-1.5*IQR=36.55-1.5*4.575=29.6875There is no value less than 29.6875The upper fence is=Q3+1.5*IQR=41.125+1.5*4.575=47.9875value greater tha 47.9875 is 48.9The lower fence is 29.6875The Upper fence is 47.9875The outliers is 48.9The correct option is "A"