Question

One year Ron had the lowest ERA​ (earned-run average, mean number of runs yielded per nine...

One year Ron had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 2.74. ​Also, Rita had the lowest ERA of any female pitcher at the school with an ERA of 3.21. For the​ males, the mean ERA was 4.765 and the standard deviation was 0.675. For the​ females, the mean ERA was 3.814 and the standard deviation was 0.594. Find their respective​ z-scores. Which player had the better year relative to their​ peers, Ron or Rita​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Ron had an ERA with a​ z-score of

Rita had an ERA with a​ z-score of

​(Round to two decimal places as​ needed.)

2, The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.

32.632.6

35.835.8

37.937.9

38.738.7

40.140.1

42.442.4

34.034.0

36.236.2

38.138.1

39.139.1

40.740.7

42.842.8

34.634.6

37.437.4

38.338.3

39.339.3

41.541.5

43.543.5

35.635.6

37.737.7

38.538.5

39.539.5

41.741.7

49.149.1

​(a)

Compute the​ z-score corresponding to the individual who obtained

42.4

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?


42.4 miles per gallon. Interpret this result.​(a) Compute the​ z-score corresponding to the individual who obtained

The​ z-score corresponding to the individual is and indicates that the data value is standard​ deviation(s)

​(Type integers or decimals rounded to two decimal places as​ needed.)

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