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Question 10 of 40 The F-statistic is a ratio of two variances, and larger F-stat

ID: 3339188 • Letter: Q

Question

Question 10 of 40 The F-statistic is a ratio of two variances, and larger F-statistics are more likely to be statistically significant. Using what you know of the ANOVA table and the F-statistic, which of the following is preferable to find a significant result in an ANOVA? A. Larger between-group variance B.Larger within-group variance .C. Equivalent variance within and across groups D. None of the above Beset Selection Question 11 of 40 In a one-sample t test, which one of the following statements regarding the test statistic (t-score) is FALSE? .A. If the test statistic is negative, the sample mean is smaller than the hypothesized mean. B. The test statistic is a predetermined value .C. In general, the bigger the test statistic the more significant the test . D. It represents the difference between the observed sample mean and the hypothesized mean in terms of standard error of the sample mean. Reset Selection

Explanation / Answer

Solution10:

F=Ms Between/MS within

let suppose MS between 10 and MS within=20

F=10/20=0.5

lees Fstat value

not significant

And let us suppose

MS Within=10 and MS between=20

F=20/10=2

larger F value

SO MS within should be large

OPTION A

larger between group variance.

Solution11:

sample mean=11 population mean=12

samplemean-pop mena=11-12=-1

means sample mean is smaller than hypothesized value

True statement

The t test statitic is a predetermined value which is a false statement.

larger t value more significant results are which is a true statement

t=samplemena-populationmean/sample std/sart(sample size)

OPTION B ISFALSE

OPTION B

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