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```Homework #3
ME 236
I. Review Questions (Not Due)
1. True or False:
a. All random measurements are normally distributed.
b. Using the z value in confidence intervals presumes that the population standard
deviation is known.
c. Approximately 92% of all data in a normal distribution lie within ±1.75 standard
deviations from the population mean.
2.
When predicting the mean of a population based on the mean of a sample (the population
standard deviation is known), what happens to the confidence interval when the sample
size approaches infinity? Circle all that apply:
a. the confidence interval approaches a finite value
b. the confidence interval approaches zero
c. the z value approaches 1.96
d. the confidence interval approaches infinity
2.11
3. Evaluate the integral: f ( x) 
e
6 0.5 x 2
dx . Hint: e a b  e a e b . Do so without any integration
0.10