A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population mean and standard deviation of 90 kg and 24 kg respectively, then based on a sample size of 36 boxes, the probability that the average weight of the boxes will:
-Be less than 84 kg is:
A)0.1687
B)0.9332
C)0.4332
D)0.0668
E)0.8413

Question

Quizplus · Accepted Answer

The probability of being less than 84 kg is equivalent to the cumulative probability from negative infinity up to 84 kg for a normal distribution. Using a standard normal table or calculator, the probability is approximately 0.0668 or 6.68%. Therefore, the best choice is D.

A Manufacturing Company Measures the Weight of Boxes Before Shipping