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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

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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 49.2 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? (a) compute the z-score corresponding to the individual who obtained 49.4 miles per gallon. Interpret inis result. The z-score corresponding to the individual is and indicates that the data value is standard deviation(s) the V (Type integers or decimals rounded to two decimal places as needed.) (b) Determine the quartiles. Q 1 = Impg (Type an integer or a decimal. Do not round.) . X MPG Data Q2 = mpg (Type an integer or a decimal. Do not round.) 32.5 35.9 38.0 Q3 =Impg 38.7 40.1 42.1 0 34.5 36 .4 38 .1 39.0 40.6 42.5 (Type an integer or a decimal. Do not round.) 34 .8 37.4 38.3 39.2 41.3 43.5 (c) Compute and interpret the interquartile range, IQR. Select the correct choice below and fill in the answer box to complete your choice. 35.5 37.5 38.5 39.5 41.6 49.2 (Type an integer or a decimal. Do not round.) O A. The interquartile range is mpg. It is the range of all of the observations in the data set. O B. The interquartile range is mpg. It is the range of the observations between the lower and upper fences. Print Done O C. The interquartile range is mpg. It is the range of the middle 50% of the observations in the data set. O D. The interquartile range is mpg. It is the range of the observations between either the lower or upper quartile and the middle quartile; it captures 25% of the observations. (d) Determine the lower and upper fences. Are there any outliers? The lower fence is. (Type an integer or a decimal. Do not round.) The upper fence is. (Type an integer or a decimal. 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.) O B. There are no outliers

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