1. In a one-way ANOVA, there are three treatments with n1 = 6, n2 = 6 and n3 = 5. The rejection region for this test at the 5% level of significance is:
A. F > 4.86
B. F > 3.74
C. F > 4.97
D. F > 3.81

2. The following data show samples of three chain stores in three different locations in one town and the amount of dollars spent per customer per visit.
Store A Store B Store C
30 42 30
14 28 14
22 20 20
18 35 16
26 49 15
25 28

An analysis of variance was performed on these data, resulting in the ANOVA table below. Consider these data and answer the questions that follow.

Source df SS MS

Method 682.79

Error 989.00

Total Critical value = 3.74

a. Fill in the degrees of freedom for Method, Error and Total.
b. Calculate and fill in the Mean Square figures for Method and Error.
c. Calculate the F* statistic for this ANOVA.
d. Summarize your conclusions and results of the test.

3. In a one-way ANOVA, if the test is conducted and the null hypothesis is rejected, what does this indicate?
A. The normal distribution should have been used instead of the F-distribution to determine the critical values of the test
B. All population means are different from one another.
C. At least one of the population means are different
D. All the population means are equal.

4. Choose a variable and collect data for at least three different groups (samples). Compare the means of the three groups using the one-way ANOVA technique. Display all data and show all work. Complete the following:
a. Write a brief statement of the purpose of the study
b. Define the population that is being studied.
c. State how the sample was selected from the population.
d. What α value did you use?
e. State the hypotheses.
f. What was F test value?
g. State the decision that was made based upon the test value.
h. Summarize the results of the study and decision.

You may obtain raw data from the random number table in the appendix section of your text or from any other sources, including sources on the World Wide Web.

See attached file for clarity.
Can you explain what are the degrees of freedom on this example . (Is it 87 or 89?) and how do I get critical value?
One factor ANOVA
Mean n Std. Dev
5.9 30 1.90 Text message
6.4 30 1.45 Internet
5.2 30 1.58 E-mail
5.8 90 1.71 Total
AN

Complete the ANOVA summary table shown here.
Source of Sum of Degrees of Mean Square F Observed
Variation Squares Freedom
Between 150.2 9
Treatments
Error 200.7
(Within
Treatments)
Sums of 3

In a completely Randomized Experimental design, 11 experimental units were used for each of the 3 treatments ( total 33 units).
Part of the ANOVA Table is shown below.
Source of Sum of squares degree of Mean F
Variation

Random samples of 25 observations were selected from each of three populations. For these data, SSTR= 120 and SSE = 216.
a. Set up the ANOVA table for this population.
b. At alpha= 0.05 level of significance, can we reject the null hypothesis that the three population means are equal?

13.3 Refer to the ANOVA table for this regression. (a) State the degrees of freedomfor the F test for
overall significance. (b) Use Appendix F to look up the critical value of F for α = .05. (c) Calculate
the F statistic. Is the regression significant overall? (d) Calculate R2 and R2
adj, showing your
formulas clearly.

Item 1.5
Consider an experiment with three groups, with seven values in each.
a). How many degrees of freedom are there in determining the-among group variations?
b). How many degrees of freedom are there in determining the-within group variation?
c). How many degrees of freedom are there in determining the total variat

See attached file.
(12.32)
For the following summary table for a one-way ANOVA, fill in the missing items
(indicated by asterisks), identify the null and alternative hypotheses, then use the
0.025 level of significance in reaching a conclusion regarding the null hypothesis.
Variation

Not sure how to set this up, or how to calculate Anova analysis.
The team wants to investigate whether or not test scores are significantly related to
to different teaching styles including
a) lecture style,
b) group learning,
c) self directed and
d) distance learning.
1. Use the data provided to conduct

a) Given the significance level 0.01, the F-value for the degrees of freedom, d.f. = (7,3) is?
b) In a completely randomized design forANOVA, the number of degrees of freedomfor the numerator and denominator are 4 and 25, respectively. The total number of observations must equal?