Normal text-Calibri . 11 . BIYA, G ? . . The following table shows scores of fir

Question

Normal text-Calibri . 11 . BIYA, G ? . . The following table shows scores of first quiz (maximum score 10 points) for ninth-grade students in an introductory Statistics course. The table also shows results of analysis of the data obtained using software. The teacher grouped the students in the course as follows Group 1: Never studied statistics before but have good algebra skills Group 2: Never studied statistics before and have poor algebra skills Group 3:Have very little knowledge of statistics of statistics before Scores on stistics qui Group 1 Group 2 Group 2 Mean 6.0 3.0 2.000 2.828 2.646 S5 MS 15.00 2.50 0177 Errors a. Was this an experimental study, or an observational study? Explain your reasoning. b. Suppose that the first observation in the second group was ac deviations are the same as reported in the table, but the sample means are 6,7, and 8 rather than 6 3, and 8. Do you think the F test statistic would be larger, the same, or smaller? Explain your reasoning without doing any calculations tually 9, not 1. Then the standard

Explanation / Answer

a.

This is observational study as the groups are not formed by randomally,

b.

F statistics would be smaller as variations between groups is decreased.

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