Let x be a random variablethat represents the length of time it takes a student to write a term paper for Dr. Adam’s Sociologyclass. After interviewing many students, it was found that x has an approximately normal distributionwith meanμ = 6.8 hours and standard deviationσ = 2.1 hours.

Convert each of the following x intervals to standardized z intervals:

a) x ≤ 7.5

b) 5 ≤ x ≤ 8

c) x ≥ 4

Convert each of the following z intervals to raw score x intervals:

d) z ≥ -2

e) 0 ≤ z ≤ 2

f) z ≤ 3

The solution consists of a detailed explanation of standardizing a random variable.