1 tasted yogurt containing the extra calciur but without the added calcium. Both groups rated the flavor on a scale of 1 to 10, with 1 being "ve unpleasant" and 10 being "very pleasant." The mean rating for group 1 was x = 6.5 with a standard deviation of s = 1.5. The mean rating for group 2 was x2 = 7.0 with a standard deviation of s2 2.0 Let 4and 42 represent the mean ratings we would observe for the entire population represented by volunteers if all members of this population tasted, respectively, the yogurt with and without the ad calcium. Assuming the conditions for using t-procedures have been met, which of the following %3D represents a 90% confidence interval for # -42 (using a conservative value for the degrees of freedom)?

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A researcher wished to test the effect of the addition of extra calcium to yogurt on the "tastiness" of
yogurt. Sixty-two adult volunteers were randomly divided into two groups of 31 subjects each. Grou
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, with 1 being "very
unpleasant" and 10 being "very pleasant." The mean rating for group 1 was x 6.5 with a standard
deviation of s = 1.5. The mean rating for group 2 was x2 = 7.0 with a standard deviation of s2 = 2.0.
Let 4jand 42 represent the mean ratings we would observe for the entire population represented by th
volunteers if all members of this population tasted, respectively, the yogurt with and without the addec
calcium. Assuming the conditions for using t-procedures have been met, which of the following
represents a 90% confidence interval for 4- uz (using a conservative value for the degrees of
freedom)?
(6.5-7.0) ± 1.645
1.5
2.0
31 31
1.5 2.0
(6.5-7.0)± 1.697,
30
30
(6.5-7.0) 1.645,
15 2.0
31
31
(6.5-7.0) 1.645,
1.5 20
30
30
(6.5-70) ± 1697
15 2.0
31
Transcribed Image Text:1378748/quizzes/3108870/take/questions/24648531 A researcher wished to test the effect of the addition of extra calcium to yogurt on the "tastiness" of yogurt. Sixty-two adult volunteers were randomly divided into two groups of 31 subjects each. Grou 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, with 1 being "very unpleasant" and 10 being "very pleasant." The mean rating for group 1 was x 6.5 with a standard deviation of s = 1.5. The mean rating for group 2 was x2 = 7.0 with a standard deviation of s2 = 2.0. Let 4jand 42 represent the mean ratings we would observe for the entire population represented by th volunteers if all members of this population tasted, respectively, the yogurt with and without the addec calcium. Assuming the conditions for using t-procedures have been met, which of the following represents a 90% confidence interval for 4- uz (using a conservative value for the degrees of freedom)? (6.5-7.0) ± 1.645 1.5 2.0 31 31 1.5 2.0 (6.5-7.0)± 1.697, 30 30 (6.5-7.0) 1.645, 15 2.0 31 31 (6.5-7.0) 1.645, 1.5 20 30 30 (6.5-70) ± 1697 15 2.0 31
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