A company runs a three-day workshop on strategies for working effectively in tea
ID: 3339666 • Letter: A
Question
A company runs a three-day workshop on strategies for working effectively in teams. On each day, a different strategy is presented. Forty-eight employees of the company attend the workshop. At the outset, all 48 are divided into 12 teams of four. The teams remain the same for the entire workshop. Strategies are presented in the morning. In the afternoon, the teams are presented with a series of small tasks, and the number of these completed successfully using the strategy taught that morning is recorded for each team. The mean number of tasks completed successfully by all teams each day and the standard deviation is computed. The results follow.
The researchers did an ANOVA F test of the data and obtained the following results.
0.0057
118.3
The degrees of freedom in the numerator for this test are
36.
33.
2
1
1 points
QUESTION 8
A company runs a three-day workshop on strategies for working effectively in teams. On each day, a different strategy is presented. Forty-eight employees of the company attend the workshop. At the outset, all 48 are divided into 12 teams of four. The teams remain the same for the entire workshop. Strategies are presented in the morning. In the afternoon, the teams are presented with a series of small tasks, and the number of these completed successfully using the strategy taught that morning is recorded for each team. The mean number of tasks completed successfully by all teams each day and the standard deviation is computed. The results follow.
The researchers did an ANOVA F test of the data and obtained the following results.
0.0057
118.3
The degrees of freedom in the denominator of the F test are
33
12.
3.
2.
1 points
QUESTION 9
A company runs a three-day workshop on strategies for working effectively in teams. On each day, a different strategy is presented. Forty-eight employees of the company attend the workshop. At the outset, all 48 are divided into 12 teams of four. The teams remain the same for the entire workshop. Strategies are presented in the morning. In the afternoon, the teams are presented with a series of small tasks, and the number of these completed successfully using the strategy taught that morning is recorded for each team. The mean number of tasks completed successfully by all teams each day and the standard deviation is computed. The results follow.
The researchers did an ANOVA F test of the data and obtained the following results.
0.0057
118.3
In this example, we notice that
there is clear evidence of bias in the results. This is undoubtedly due to the lack of blinding on the part of the subjects.
the data show very strong evidence of a violation of the assumption that the three populations have the same standard deviation.
ANOVA cannot be used on these data, because the sample sizes are less than 20.
the assumption that the data are independent for the three days is unreasonable, because the same teams were observed each day.
1 points
QUESTION 10
A company runs a three-day workshop on strategies for working effectively in teams. On each day, a different strategy is presented. Forty-eight employees of the company attend the workshop. At the outset, all 48 are divided into 12 teams of four. The teams remain the same for the entire workshop. Strategies are presented in the morning. In the afternoon, the teams are presented with a series of small tasks, and the number of these completed successfully using the strategy taught that morning is recorded for each team. The mean number of tasks completed successfully by all teams each day and the standard deviation is computed. The results follow.
The researchers did an ANOVA F test of the data and obtained the following results.
0.0057
118.3
For this example, which of the following conclusions is most reasonable?
There is moderate evidence that the strategies taught are effective in increasing the number of tasks completed successfully for the first two days, but then the effect appears to wear off.
An ANOVA F test is not appropriate for these data. Instead, the researchers should have done several tests to see if the number of tasks completed successfully differed for the three days. This analysis would have shown the treatment was effective.
The data provide strong evidence that the mean number of tasks completed successfully differ for the three strategies taught.
The data appear to provide little or no evidence that the strategies taught differ in their effectiveness in helping teams complete tasks successfully.
Day (strategy) Means Std. dev.Explanation / Answer
7) We are allowed to do 1 question at a time. Post again for second question.
To use the F-test to determine whether group means are equal, it’s just a matter of including the correct variances in the ratio. In one-way ANOVA, the F-statistic is this ratio:
F = variation between sample means / variation within the samples
The best way to understand this ratio is to walk through a one-way ANOVA example.
dof = 1.36/0.68
dof = 2
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