Usual and Unusual Values. In Exercises, consider a value to be unusual if its z score is less than −2 or greater than 2.

Designing Aircraft Seats In the process of designing aircraft seats, it was found that men have hip breadths with a mean of 36.6 cm and a standard deviation of 2.5 cm. (based on anthropométrie survey data from Gordon, Clauser, et al.). Consider the values of hip breadths of men that are unusual. What are the z scores that separate the unusual hip breadths from those that are usual? What are the hip breadths that separate the unusual hip breadths from those that are usual?

Solution 10BSC

From the given information, the mean hip breadth of men for the given sample is 36.6 cm and standard deviationis 2.5 cm.

We know that, any score that lies between –2 and 2 is known as an usualscore, otherwise, it is unusual. Therefore, the scores that separate the unusual from usual scores from that of usual are –2 and 2.

Let lowest hip breadth of men that separate the unusual from the usual. We know that, score for a data value found...