# Statistics:

42. During recent seasons, Major League Baseball has been criticized for the length of the

games. A report indicated that the average game lasts 3 hours and 30 minutes. A sample

of 17 games revealed the following times to completion. (Note that the minutes have

been changed to fractions of hours, so that a game that lasted 2 hours and 24 minutes

is reported at 2.40 hours.

Can we conclude that the mean time for a game is less than 3.50 hours? Use the .05

significance level.

22. Banner Mattress and Furniture Company wishes to study the number of credit applications

received per day for the last 300 days. The information is reported on the next page.

To interpret, there were 50 days on which no credit applications were received, 77 days

on which only one application was received, and so on. Would it be reasonable to conclude

that the population distribution is Poisson with a mean of 2.0? Use the .05 significance

level. Hint: To find the expected frequencies use the Poisson distribution with a

mean of 2.0. Find the probability of exactly one success given a Poisson distribution with

a mean of 2.0. Multiply this probability by 300 to find the expected frequency for the

number of days in which there was exactly one application. Determine the expected frequency

for the other days in a similar manner.

42. Martin Motors has in stock three cars of the same make and model. The president would

like to compare the gas consumption of the three cars (labeled car A, car B, and car C)

using four different types of gasoline. For each trial, a gallon of gasoline was added to

an empty tank, and the car was driven until it ran out of gas. The following table shows

the number of miles driven in each trial.

Using the .05 level of significance:

a. Is there a difference among types of gasoline?

b. Is there a difference in the cars?

(See the attached file).

https://brainmass.com/statistics/frequency-distribution/statistics-318412

#### Solution Summary

Complete, Neat and Step-by-step Solutions are provided in the attached files.