Question

A researcher records the following data for each of three groups. Group A Group B Group...

A researcher records the following data for each of three groups.

Group A Group B Group C
3 5 11
7 9 1
9 3 11
9 9 7
12 14 10


What is the value of the F-statistic? (Round your answer to two decimal places.)
F =  

Explain your answer.

F is the indicated value because the group means are the same. There is no variability between groups.F is the indicated value because the group means are the same. There is substantial variability between groups.    F is the indicated value because the group means are different. There is no variability between groups.F is the indicated value because the groups means are different. There is substantial variability between groups.

Homework Answers

Answer #1

The test statistic can be written as

which under H0 follows a F distribution with df = (df(Group), df(Error)) = (2,12)

We reject H0 at 5% level of significance if P-value < 0.05

The value of the F statistic = 0

and P-value = 1

Since P-value = 1 > 0.05, so we fail to reject H0 at 5% level of significance and we can conclude that the group means are not significantly different.

ans-> F is the indicated value because the group means are the same. There is no variability between groups.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A researcher records the following data for each of three groups. Group A Group B Group...
A researcher records the following data for each of three groups. Group A Group B Group C 11 14 11 13 6 10 6 4 8 5 9 4 10 12 12 What is the value of the F-statistic? (Round your answer to two decimal places.) F = Explain your answer. __F is the indicated value because the groups means are different. There is substantial variability between groups. ___F is the indicated value because the group means are the same....
A researcher records the following data for each of three groups. Group A Group B Group...
A researcher records the following data for each of three groups. Group A Group B Group C 13 9 10 8 4 2 4 14 8 4 8 12 11 5 8 What is the value of the F-statistic? (Round your answer to two decimal places.) F = Explain your answer. F is the indicated value because the groups means are different. There is substantial variability between groups.F is the indicated value because the group means are different. There is...
A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with...
A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with high cholesterol levels. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's cholesterol level is recorded. Determine the test statistic F-value to test the hypothesis that there is no difference among the means....
Here is a link to a data set concerning treatment groups A and B. Before performing...
Here is a link to a data set concerning treatment groups A and B. Before performing a t-test to determine if the two groups are different, researchers must first ascertain if the variance in the two groups is the same using an F test. Indicate whether the hypothesis below is the null or alternate hypothesis for the F test. null The variance in group A is equal to the variance in group B Calculate the F statistic for this data...
The table below presents three samples of data. If we conduct a hypothesis test for the...
The table below presents three samples of data. If we conduct a hypothesis test for the equality of all three means with the statistical confidence of 90%, what would the value of the Mean Squares Between Groups be? Sample 1 Sample 2 Sample 3 7 11 6 5 8 5 7 11 4 6 7 5 6 13 14 6 13 5 6 12 5 6 11 6 8 8 8 9 7 6 7 6 14 9 7 4...
8) Arnold compares the means of three groups and calculates a value of -2.01 for the...
8) Arnold compares the means of three groups and calculates a value of -2.01 for the F ratio. This necessarily implies that. . Group of answer choices a. the mean of the first group is the highest of the three groups b. the mean of the third group is the highest of the three groups c. the differences between the means are statistically significant d. he made an error is his calculation 9) The problem with conducting multiple t-tests instead...
1. The following data were obtained in a four-group study: Group1 Group 2 Group 3 Group...
1. The following data were obtained in a four-group study: Group1 Group 2 Group 3 Group 4 6 6 3 5 5 9 7 3 7 9 6 1 5 4 3 4 3 5 4 3 4 6 7 5 (a) Are the four group means significantly different from each other? (b) Suppose all pairwise comparisons were investigated. If the αΣ is maintained at the level of 0.05, is the difference between the means of groups 2 and 4...
5) The table below represents data on a variable of interest collected from two independent groups,...
5) The table below represents data on a variable of interest collected from two independent groups, in which each group was randomly assigned ten participants. A researcher is interested in testing whether the two groups have different means. Group 1 4 4 2 6 3 5 6 1 5 4 Group 2 6 10 4 7 8 5 9 10 6 7 a) What are the appropriate hypotheses for this analysis? b) What is/are the critical value(s) for this test...
please state in complete sentence A researcher studied three computer keyboard designs. Three samples of individuals...
please state in complete sentence A researcher studied three computer keyboard designs. Three samples of individuals were given material to type on a particular keyboard, and the number of errors committed by each participant was recorded. Are there significant differences in typing performance among the three keyboard designs? Keyboard A       Keyboard B        Keyboard C    0          6                       6    4          8       5    0      5                       9    1                           ...
A video game developer is testing a new game on three different groups. Each group represents...
A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown below Group A Group B Group C 98 153 102 104 149 108 99 155 195 109 115 183 111 128 160 What is the Critical Value of F Statistics (at p-value = 10%) to test the null hypothesis that group means...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT