GMGT282-UGSEM4C-2024/25S2-Research Methods for Managers
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The degrees of freedom for a contingency table ( ANOVA table) with 12 rows and 12 columns is
When an analysis of variance is performed on samples drawn from K populations, the mean square between treatments (MSTR) is
Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification.
Freshmen
|
83
|
Sophomores
|
68
|
Juniors
|
85
|
Seniors
|
64
|
We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year.
The p-value is
Exhibit 13-2
Source
of Variation
|
Sum
of Squares
|
Degrees
of Freedom
|
Mean
Square
|
F
|
Between Treatments
|
2,073.6
|
4
|
|
|
Between Blocks
|
6,000
|
5
|
1,200
|
|
Error
|
|
20
|
288
|
|
Total
|
|
29
|
|
|
Refer to Exhibit 13-2. The mean square between treatments equals
The F ratio in a completely randomized ANOVA is the ratio of
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.
Do you support
capital punishment?
|
Number of
individuals
|
Yes
|
40
|
No
|
60
|
No Opinion
|
50
|
We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
The expected frequency for
each group is
Exhibit 13-2
Source
of Variation
|
Sum
of Squares
|
Degrees
of Freedom
|
Mean
Square
|
F
|
Between Treatments
|
2,073.6
|
4
|
|
|
Between Blocks
|
6,000
|
5
|
1,200
|
|
Error
|
|
20
|
288
|
|
Total
|
|
29
|
|
|
Refer to Exhibit 13-2. The null hypothesis is to be tested at the 5%
level of significance. The
p-valueWhen individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.
Do you support
capital punishment?
|
Number of
individuals
|
Yes
|
40
|
No
|
60
|
No Opinion
|
50
|
We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
The conclusion of the test
(at 95% confidence) is that the
Jason believes that the sales of coffee at his coffee shop depend upon the weather. He has taken a sample of 6 days. Below you are given the results of the sample.
Cups of Coffee Sold
|
Temperature
|
350.00
|
45.00
|
205.00
|
55.00
|
215.00
|
65.00
|
100.00
|
75.00
|
60.00
|
85.00
|
40.00
|
95.00
|
Predict sales of a 80-degree
day.
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