Problem 6CRE

Normal Distribution Instead of using the hand lengths in Exercise, a much larger sample of hand lengths is used and a frequency distribution is created. The frequencies listed in order are 1, 8, 56, 237, 382, 228, 48, 4, 1. Does it appear that the sample is from a population having a normal distribution? Explain.

Exercise

Designing Gloves An engineer is designing a machine to manufacture gloves and she obtains the following sample of hand lengths (mm) of randomly selected adult males (based on anthropométrie survey data from Gordon, Churchill, et al.):

a. Are exact hand lengths from a population that is discrete or continuous?

b. What is the level of measurement of the hand lengths? (nominal, ordinal, interval, ratio)

Answer :

Step 1 of 1 :

From the given information the listed frequency are

1, 8, 56, 237, 382, 228, 48, 4, 1.

Yes.It appear that the sample is from a population having a normal distribution.

The frequencies increase to a maximum, and then they decrease.

Also, the frequencies preceding the maximum are roughly a mirror image of those that follow the maximum.