McCain Foods (Canada) of New Brunswick produces frozen French fries. Suppose one line of fries has an average length of 7.62 centimetres with a standard deviation of 1.27 centimetres. To make sure that the quality standard is met, they plan to select a random sample of n = 100 fries each day. Yesterday, the sample mean was 7.75 centimetres. What is the probability that the mean would be 7.75 centimetres or more if they are meeting the quality standards?
A) 0.1539
B) 0.3413
C) 0.6587
D) 0.0398
E) 0.4602

Question

Quizplus · Accepted Answer

The probability that the mean would be 7.75 centimetres or more if they are meeting the quality standards is 0.1539. This is because the z-score for a sample mean of 7.75 centimetres is (7.75 - 7.62) / 1.27 = 0.102, and the probability of getting a z-score of 0.102 or more is 0.1539.

McCain Foods (Canada) of New Brunswick Produces Frozen French Fries