For the height data set (used in lab 7), take a sample of 30 people and use the distribution to find a 95% confidence interval for the population mean. Then, check if the actual mean lies inside your interval. Repeat this process 100 times - what percentage of the time did the population mean lie inside the confidence interval?

Dataset

Height

67.18

71.5

68.42

67.61

71.71

69.57

73.25

69.58

71.91

68.7

75.32

69.95

67.37

72.35

75.19

72.99

70.36

70.95

68

71.85

70.04

66.63

67.95

63.9

66.78

64.87

71.51

73.01

68.77

67.6

67.4

66.3

73.01

72.31

70.32

69.97

66.53

73.07

73.79

63.58

75.97

73.64

69.73

70.51

69.12

68.59

66.45

67.22

68.54

70.97

69.83

67.71

74.2

74.73

70.86

67.33

69.84

72.38

76.06

72.84

64.17

72.14

73.05

71.21

68.57

70.86

68.23

68.73

72.06

72.57

73.64

69.11

69.61

67.21

69.63

69.28

70.08

67.53

67.91

67.58

78.06

71.57

72.15

67.16

70.54

69.36

69.44

76.84

75.21

72.35

71.3

62.92

69.93

67.12

71.32

68.37

70.83

67.72

70.48

69.15