Can you please help solve the following problems; I am having a hard time working them out. Can you also show all work. I will need it due back by Monday May 31st. Thank You.
1. The director of golf for the Links Group wishes to study the number of rounds of golf played by members on weekdays. He gathered the following sample information for 520 rounds.
At the 0.05 significance level, is there a difference in the number of rounds played by day of the week?
2. The safety director of Honda USA took samples at random from the file of minor accidents and classified them according to the time the accident took place.
Enrollment in local colleges, 2005
Time Number of Accidents Time Number of accidents
8 up to 9am 6 12 up to 1pm 7
9 up to 10am 6 1 up to 2pm 8
10 up to 11am 20 2 up to 3pm 19
11 up to 12pm 8 3 up to 4pm 6
Using the goodness of fit test and the 0.01 level of significance, determine whether the accidents are evenly distributed throughout the day.
3. In a bumper test three types of autos were deliberately crashed into a barrier at 5mph, and the resulting damage in dollars was estimated. 5 test vehicles of each type were crashed, with the results shown below .Research Question:Are the mean crash damages the same for these three.
GOLIATH VARMINT WEASEL
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,220 950 1,920
1,950 1,850 1,250
4. A sample of employees at a large chemical plant was asked to indicate a preference for one of 3 pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the 0.01 significance level.
JOB CLASSIFICATION PLAN A PLAN B PLAN C
SUPERVISOR 10 13 29
CLERICAL 19 80 19
LABOR 81 57 22
Please see the attachment.
The solution provides step by step method for the calculation of test statistic for chi square test for association, goodness of fit and ANOVA. Formula for the calculation and Interpretations of the results are also included.