Statistics: Frequency, Chi-Square, Mean Square, and Error

Use the following information to answer questions: A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below.

Process 1 Process 2 Process 3 Total
Process Total ($100's) 137 108 107 352
Sample Size 10 10 10 30
Sum of Squares 1893 1188 1175 4256
1. What is the sum of squares for the treatment?
a. 67.80
b. 58.07
c. 149.34
d. 23.47
2. What is the sum of squares of the error?
a- 67.80
b- 58.07
c- 149.34
d- 23.47

3. What is the critical value of F at the 5% level of significance?
a- 19.45
b- 3.00
c- 3.35
d- 3.39

4. What is the degree of freedom for the numerator of the F ratio?
a. 2
b. 3
c. 10
d. 27

5. What is the degree of freedom for the denominator?
a. 3
b. 10
c. 27
d. 30
6. What is the mean square for the treatments?
a. 2.511
b. 2.151
c. 33.9
d. 29.035
7. What is the mean square for error?
a. 2.511
b. 2.151
c. 33.9
d. 29.035
8. What is the calculated F?
a. 0.086
b. 1.168
c. 11.56
d. 13.50
Use the following information to answer questions:
The personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis to be tested is:
Absenteeism is distributed evenly throughout the week.
The 0.01 level is to be used. The sample results are:
Day of week Number Absent
Monday 12
Tuesday 9
Wednesday 11
Thursday 10
Friday 9
Saturday 9
9. What kind of frequencies are the numbers 12, 9, 11, 10, 9, and 9 called?
a. Acceptance
b. Critical value
c. Expected
d. Observed
10. How many degrees of freedom are there?
a. 0
b. 3
c. 4
d. 5
11. What is the expected frequency?
a. 9
b. 10
c. 11
d. 12
12. What is the calculated value of chi-square?
a. 1.0
b. 0.5
c. 0.8
d. 8.0

This solution identifies the correct answer for statistical questions and justifies why with calculations. It touches on various topics such as expect frequency, chi-square, mean square, sum of squares and errors.

a) Why do you use the chi-square statistic?
b) What type of data is used with chi square analysis?
c) What are the hypotheses in a chi-square test for independence?
d) How do we calculate the expected frequencies for each cell of a contingency table?
e) How do we calculate the degrees of freedom for an r x c contingency

In a chi-square goodness-of-fit test when there is close agreement between the observed frequency and the expected frequency, the chi-square test value will be small.
TRUE (OR) FALSE
And please explain why it's true or false so i can understand. =)

A) When will you use a Goodness-of-fit Chi-Square distribution?
b) What are the characteristics of chi-square distribution?
c) Do you have to follow the five step process of hypothesis testing?
d) What are the drawbacks of chi-square testing?

A chi-square test for goodness of fit is used to test whether or not there are any preferences among three brands of cola. If the study uses a sample of n = 60 subjects, then the expected frequency for each category would be?

I am having trouble completing this problem. I know what it is asking for but calculating it has me completely stuck. Please help!!!!
Exam scores of 40 students in a statistics class are shown. (a) Estimate the meanand standard deviation from the sample. (b) Assuming that the data are from a normal distribution, define bin

In a test of the independence of two variables, one the variables has two possible categories and the other has three possible categories. What will be the critical value of chi-square if the test is to be carried out at the 0.025 level? At the 0.05 level?

Question # 1
T/F: One advantage of the chi-square tests is that they can be used when the data are measured on a nominal scale.
A.true
B. false
Question # 2
A chi-square test for goodness of fit is used to test whether or not there are any preferences among three brands of cola. If the study uses a sample of n =

Is there an alternative test to the chi squared test? What if my results give an expected frequency below 5, which stats book states that these should be treated with caution? Is there a more appropriate stat test which would be more accurate in working out the significance of the results?

A director of an agency is hiring temporary help. In making plans, he has to know whether there isi any difference in the use of the agency at different seasons of the year. Last year there were 28 new clients in winter, 33 in spring, 16 in summer, and 51 in fall. On the basis of last years data, should the director conclude tha