19 of 20 (15 complete) This Qulz: 20 pt in a survey of women in a oertain countr

Question

19 of 20 (15 complete) This Qulz: 20 pt in a survey of women in a oertain country (ages 20-29), the (a) What hoight represents the 85th percentile? (b) What height represents the first quartle? mean height was 64.9 inches with a standard deviation of 2.74 inchos. Answer the following queations about the specified normal t distribution Cick to view page 1 of the table. Click to view pagn 2 of the table (a) The height that represents the 85th percentile is inches Round to two decimal places as needed.) (b) The height that represents theft quarie isinches Round to two decimal places as needed.) Enter your answer in each of the answer boxes

Explanation / Answer

The formula to be used here in both the parts is

x = mean + z*standard deviation

mean = 64.9

standard deviation = 2.74

A) here we need to find for 85th percentile

therefore we need to get the z score for 0.85

from the normal tables which comes out to be = 1.036

therefore x = 64.9 + 1.036*(2.74)

= 67.73

B) we need to get the z score for 0.25

which comes out to be = -0.674

therefore x = 64.9 - 0.674*(2.74)

= 63.05

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