7.36 Height and the z distribution, question 1: Elena, a 15- year-old girl, is 58 inches (147.32...

Question:

7.36 Height and the z distribution, question 1: Elena, a 15- year-old girl, is 58 inches (147.32 centimeters) tall. The Centers for Disease Control and Prevention (CDC) indicates that the average height for girls at this age is 63.80 inches, with a standard deviation of 2.66 inches.

a. Calculate Elena’s z score.

b. What percentage of girls are taller than Elena?

c. What percentage of girls are shorter?

d. How much would Elena have to grow to be perfectly average?

e. If Sarah is in the 75th percentile for height at age 15, how tall is she?

f. How much would Elena have to grow to be at the 75th percentile with Sarah?

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