Question

A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to average 0.500 inch with a standard deviation equal to 0.045 inch. Suppose a random sample of n=51 windows yields a sample mean of 0.519 inch. What is the probability of getting a sample mean greater or equal to 0.519, if the windows meet the standards? (Round to four decimal places as needed.)

Answer 1

The solution to this problem is given by

glass thickness 0.50 Solution Let rive x' denote the E(X) = M = SD (X) = = 0.045 let "X' alenote the sample n=51 sambles M =05o TĂ = 0.045 mean for = 0.0063 151 The probability of getting a Samble mean greatu equal to 0.519 - PC Ž Z 0-519) 0.519 -0.50 0.0063 Plz 23-01587 000012812 = 0.0013 - Aus 0.0013