Question: 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 approximately normal distribution with mean μ = 6.8 hours and standard deviation σ = 2.1 hours.

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

1. x ≤ 7.5
2. 5 ≤ x ≤ 8
3. x ≥ 4
   Convert each of the following z intervals to raw score x intervals:
4. z ≥ -2
5. 0 ≤ z ≤ 2
6. z ≤ 3

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