Quiz: Quiz Ch.5 Time Remaining: 00:37:02 Submit Quiz This Question: 1 pt 7 of 10

Question

Quiz: Quiz Ch.5 Time Remaining: 00:37:02 Submit Quiz This Question: 1 pt 7 of 10 (5 complete) This Quiz: 10 pts In a survey of women in a certain country (ages 20-29), the mean height was 66.8 inches with a standard deviation of 2.94 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 95th percentile? (b) What height represents the first quartile? (a) The height that represents the 95th percentile is inches. (Round to two decimal places as needed.) (b) The height that represents the first quartile is inches. (Round to two decimal places as needed.) Enter your answer in each of the answer boxes SAMSUNG

Explanation / Answer

Solution:- Given that mean = 66.8 , sd = 2.94
Formula : x = zs+u

a) x = (1.645*2.94)+66.8 = 71.64

b) the z-value with a left tail of 25%: z = -0.6745
x = (-0.6745*2.94)+66.8 = 64.82

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