# Question: The sitting height from seat to top of head of

The sitting height (from seat to top of head) of drivers must be considered in the design of a new car model. Men have sitting heights that are normally distributed with a mean of 36.0 in. and a standard deviation of 1.4 in. (based on anthropometric survey data from Gordon, Churchill, et al.).

a. One car is designed to accommodate sitting heights of 38.8 in. or less. Find the percentage of men with sitting heights greater than 38.8 in.

b. If the sitting height is to be changed so that 98% of men will be accommodated, what is the new sitting height?

c. If a car is occupied by four men, find the probability that they have a mean sitting height less than 37.0 in.

a. One car is designed to accommodate sitting heights of 38.8 in. or less. Find the percentage of men with sitting heights greater than 38.8 in.

b. If the sitting height is to be changed so that 98% of men will be accommodated, what is the new sitting height?

c. If a car is occupied by four men, find the probability that they have a mean sitting height less than 37.0 in.

**View Solution:**## Answer to relevant Questions

Among Americans, 9.7% of males are left-handed and 12.5% of females are left-handed. a. If three females are randomly selected, find the probability that they are all left-handed. When randomly selecting three females, is it ...For the sample data given in Exercise 1, consider the Salk vaccine treatment group to be the first sample. Identify the values of n1, p̂1, Q` n1, n2, p̂2, Q` n2, p, and q. Round all values so that they have six significant ...A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed. We want to use a 0.05 ...In a random sample of males, it was found that 23 write with their left hands and 217 do not. In a random sample of females, it was found that 65 write with their left hands and 455 do not (based on data from “The ...The accompanying table gives results from a study of the words spoken in a day by men and women, and the original data are in Data Set 17 in Appendix B. Use a 0.01 significance level to test the claim that the mean number of ...Post your question