Perform the ANOVA F-test by comparing the F ratio to the appropriate value from the F...

Perform the ANOVA F-test by comparing the F ratio to the appropriate value from the 
F table (use a significance level of .05).  Among the different colors, is there a 
significant difference in mean time needed to complete the trial? do by hand, show work

times to complete trial for three groups of 5 participants.

Red:  9, 11, 10, 9, 15
Green: 20, 21, 23, 17, 30
Black: 6, 5, 8, 14, 7

Expert Solution

Decision about null hypothesis: Here we observe that the F statistic value 20.0142 is greater than the F (2,12) Critical value at 0.05 Level.

It is then we reject the null hypothesis

P value approach : The P value is 0.0002 which is less than the level of Significance 0.05.

It is then we reject the null hypothesis.

Hence we conclude that there is enough evidence to support that there is significant difference between the three sample means.

orchestra answered 1 year ago

For an ANOVA tell me whether the F-ratio and P value will in-crease or decrease under...

For an ANOVA tell me whether the F-ratio and P value will in-crease or decrease under the following circumstances. (a)The group sum of squares increases. (b)The among group mean square increases. (c)The within group sum or squares decreases. (d)The within group mean square decreases. I'm having trouble understanding conceptually how this works.

PLEASE EXPLAIN YOUR REASONING ANOVA is based on an F-ratio that is calculated as the ratio...

PLEASE EXPLAIN YOUR REASONING ANOVA is based on an F-ratio that is calculated as the ratio of two variance estimates, the variance between groups and the variance within groups, but enables conclusions to be made about the means of the samples involved. What is the logic of that? I.e., explain the rationale that supports the use of variance estimates.

You will perform an ANOVA test. For the hypothesis test make sure to report the following...

You will perform an ANOVA test. For the hypothesis test make sure to report the following steps: Identify the null hypothesis, Ho, and the alternative hypothesis, Ha. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Find the critical value(s) and identify the rejection region(s). Find the appropriate standardized test statistic. If convenient, use technology. Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim. The grade point...

12.14 Calculating the ANOVA F test P-value. For each of the following situations, find the degrees...

12.14 Calculating the ANOVA F test P-value. For each of the following situations, find the degrees of freedom for the F statistic and then use R to calculate the P-value. (a) Six groups are being compared with five observations per group. The value of the F statistic is 2.47. (b) Four groups are being compared with 11 observations per group. The value of the F statistic is 5.03. (c) Five groups are being compared using 65 total...

You will perform a Chi-Square test and an ANOVA test. For each hypothesis test make sure...

You will perform a Chi-Square test and an ANOVA test. For each hypothesis test make sure to report the following steps: Identify the null hypothesis, Ho, and the alternative hypothesis, Ha. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Find the critical value(s) and identify the rejection region(s). Find the appropriate standardized test statistic. If convenient, use technology. Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original...

In ANOVA, the F value is statistically significant when the __________

In ANOVA, the F value is statistically significant when the __________- groups variance is significantly bigger than the ___________-groups variance

when does Anova use thee F test

Perform an appropriate hypothesis test for a population mean using the p-value approach. Last year, the...

Perform an appropriate hypothesis test for a population mean using the p-value approach. Last year, the mean running time for a certain type of flashlight battery was 8.5 hours. This year, the manufacturer has introduced a change in the production method which he hopes will increase the mean running time. A random sample of 4 0 of the new light bulbs was obtained and the mean running time was found to be 8.7 hours. Do the data provide sufficient evidence...

Test a hypothesis using variables in the data set for which ANOVA is the appropriate test...

Test a hypothesis using variables in the data set for which ANOVA is the appropriate test (do NOT use the variables assigned for the final project). Data: Gender abuse female 7.00 female .00 female 7.00 male 7.00 male .00 male 7.00 female 7.00 female 7.00 female .00 female .00 State the null and research hypotheses in statistical terms, including the appropriate notation. Explain why ANOVA is the appropriate test. In your explanation, describe the formula (13.1) for the statistic...

12. Comparing ANOVA and the t test for an independent-measures hypothesis test Suzanne Zeedyk, a developmental...

12. Comparing ANOVA and the t test for an independent-measures hypothesis test Suzanne Zeedyk, a developmental psychologist at Dundee University’s School of Psychology, conducted a pilot study in which parents started a half-hour walk with their infants in a parent-facing or an away-facing stroller and then switched to the other type of stroller midway. Her results suggest that parents talked less to the babies, the babies had higher heart rates, and they were less likely to fall asleep in away-facing...

Question