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HW 6 Solution

# HW 6 Solution - STAT 350 Assignment 6 Solutions(40 points...

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STAT 350 Assignment 6 Solutions (40 points) 2. (a) (2) An unbiased point estimate of , the average amount of gas used by all houses in the area is: therms x 6 . 120 10 206 , 1 (b) (2) An unbiased point estimate of , the proportion of all homes that use over 100 therms is: 80 . 10 8 p 6. (a) (3) An unbiased point estimate of , the average number of flaws on a randomly chosen item is: 11 . 2 150 317 ˆ (b) (2) The standard error of ˆ is: 8. (a) (1) 98% of the standard normal curve area must be captured. This requires that 1% of the area is to be captured in each tail of the distribution. So, P(Z < -z critical value) = .01 and P(Z > z critical value) = .01. Thus, the z critical value = 2.33. (b) (1) 85% of the standard normal curve area must be captured. This requires that 7.5% of the area is to be captured in each tail of the distribution. So, P(Z < -z critical value) = .075 and P(Z > z critical value) = .075.

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