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# A researcher wished to te

A researcher wished to test the effect of the addition of extra calcium to yogurt on the “tastiness” of yogurt. A collection of 200 adult volunteers was randomly divided into two groups of 100 subjects each. Group 1 tasted yogurt containing the extra calcium. Group 2 tasted yogurt from the same batch as group 1 but without the added calcium. Both groups rated the flavor on a scale of 1 to 10, 1 being “very unpleasant” and 10 being “very pleasant.” The mean rating for group 1 was X1=6.5, with a standard deviation of S1=1.5. The mean rating for group 2 was X2=7.0, with a standard deviation S2=2.0. Assume the groups are indepent. Let U1 and U2 represent the mean ratings we would observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. Let SD1 and SD2 be the corresponding population standard deviations. Suppose we wish to test the hypothesis that the yogurts are equivaent in how variable subjects rate their taste. To do this we test the hypothesesHo: SD1=SD2, Ha: SD1 not equal to SD21. The numerical value of the F statistic is:a) 1.07b) 1.16c) 1.33d) 1.782. The P-vlue for this test is (assume the data are normal):a) larger than 0.10b) between 0.10 and 0.05c) between 0.05 and 0.025d) below 0.025