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.