Question

In: Math

The accompanying data represent the miles per gallon of a random sample of cars with a​...

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 32.7 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?

32.7

35.9

38.0

38.7

40.2

42.2

34.4

36.2

38.1

38.9

40.7

42.7

34.6

37.5

38.2

39.5

41.5

43.6

35.2

37.8

38.5

39.8

41.6

48.9

Solutions

Expert Solution

​(a) Compute the​ z-score corresponding to the individual who obtained 32.7 miles per gallon

Z = (x-μ) / σ

x = 32.7

μ = 38.98

σ = 3.49

Z = (32.7-38.98)/3.49 = -1.80

P(Z < -1.80) = 0.0359

​(b) Determine the quartiles. ​(c) Compute and interpret the interquartile​ range, IQR. ​(d) Determine the lower and upper fences. Are there any​outliers?

Only one outlier. i.e 48.9


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