Question

Group A is a group of 50 people with an average height of 5 feet 6 inches and a standard deviation of 7 inches. Group B is a group of 50 people with an average height of 5 feet 6 inches and a standard deviation of 4 inches. From which group would you be more likely to randomly select a person that is 6 feet tall? Explain your answer in a couple of sentences.

Answer #1

Group A

Mean = 5 feet 6 inches = 5*12 + 6 = 66 inches

standard deviation = 7 inches

sample size = 50

X = 6 feet tall = 6*12 = 72 inches

**Z = 6.06**

Group B

Mean = 5 feet 6 inches = 5*12 + 6 = 66 inches

standard deviation = 4 inches

sample size = 50

X = 6 feet tall = 6*12 = 72 inches

**Z = 10.6**

**AS Z for group A is small hence the group A is more
likely to have a tall person of 6 feet**

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