Assume the height of a previous MATH class follows a normal distribution with Value = 69 inches and Standard deviation = 4 inches. Answer the following questions (draw a normal sketch and shade the region that represents what the following questions are asking for. Then, use Minitab to find the value of the shaded region)

1. Find the probability that a student chosen at random from the population of MATH students is 65 inches or shorter.
2. Find the probability that a student chosen at random from the population of MATH students is 72 inches or taller.
3. Find the probability that a student chosen at random from the population of MATH students is 77 inches or taller.
4. Assume a MATH student is 72 inches tall, what percentile of height are they?
5. A MATH student who is at the 95th percentile is at what height? (Use Inverse Cumulative Probability)
6. A MATH student in which 1% are taller than is at what height. (Inverse Cumulative Probability).
7. Open the Chapter-7-height data set. This data set contains the heights of the MATH class. Using Minitab and the Normal Probability Plot, determine if the random variable height is normally distributed.

height

70

72

66

71

74

56

71

74

70

60.4

74

67

65

61

61.32

76

70

74

75

71

64.5

67

66

74

66

77

68

65

68.75

68

66

75

64

72

66

72.1

73