1. (6 pts) Let x be a random variable that represents the length of time it takes a student to write a term paper for Dr. Adam’s sociology class. After interviewing many students, it was found that x has an approximate normal distribution with mean = 6.8 hours and standard deviation = 2.1 hours.
Convert the x interval x 4 to a standard z interval.
Convert the z-score interval 0 ≤ ? ≤ 2 to a raw score x interval.
1. There is no sign given between x and 4 so i will solve for all the 3 cases
a) x = 4
In z -interval it will be written as
b) x < 4 in z-interval is .
c) x > 4 in z-interval is .
2. The z score interval is
for z = 0, x is = 6.8 + 0*2.1 = 6.8
for z = 2, x is = 6.8 + 2*2.1 = 11
The x-interval is
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