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? ? C i Secure https://www.webassign.net/web/ tudent/Assignment-Responses/submit?dep-1889403 Consider the following pair of data sets. Which of the following is true? Check all that apply Data Set A Data Set B Data set A Standard Deviation Sample Mean Sample Size 2.5 3.5 2.5 0.7906 0.7906 0.7906 Data set B Standard Deviation Sample Mean Sample Size 2.5 3.5 2.5 1.904 1.904 1.904 O The value of the test statistic F will be larger for data set A because there is more spread between the means in data set A. O The value of the test statistic F will be larger for data set A because the standard deviation is larger in data set B O The value of the test statistic F will be larger for data set B because there is more spread between the means in data set B. The value of the test statistic F will be larger for data set B because the standard deviation is larger in data set B O The ANOVA p-value will be smaller for data set A. The ANOVA D-value will be smaller for data set B.

Explanation / Answer

F = variation between sample means / variation within the samples

So, F statistic will be high if there is more vriation or spread between the sample means.

Also, Large test statistic value implies small p-value.

Hence, Correct options are :

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