Heights of WOMEN in the U.S. are normally distributed.Recent information shows:

Adult women height: = 63.8 inches with = 2.8 inches.

• If doing problem using z-transformation, show all calculations.

If using the TI-84, write down the functions and inputs you entered.

When giving answers, probabilities should be 4 decimal places and can be converted to percentages if asked. Round z-scores and x-values to 2 decimal places.

Sample of RCCC Women's Heights - Spring 2021

Height (in inches) | Frequency

58 | 2

59 | 2

60 | 2

61 | 5

62 | 15

63 | 10

64 | 7

65 | 7

66 | 5

67 | 4

68 | 1

69 | 3

70 | 1

71 | 2

a. From the given frequency distribution, we see that _____ of the 66 women in our RCCC sample were taller than 67 inches, which would be approximately _____ % (0 decimal places). This is __________ percentage points _______________ (above or below) that of the U.S. population.

b.From the given frequency distribution, we see that _____ of the 66 women in our RCCC sample were between 61 and 68 inches tall, which would be approximately _____ % (0 decimal places). This is __________ percentage points _______________ (above or below) that of the U.S. population. (Note: Include 61 and 68 inches.)