Question #6 [12 pts] Ten adults with symptoms of diabetes were randomly selected and a random...

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Question #6 [12 pts] Ten adults with symptoms of diabetes were randomly selected and a random blood glucose test was administered before and after a medication. Their blood glucose level readings were gathered before and after the medication; and the results are shown below. Page 3 Adult Before 1 2 3 4 5 6 7 8 9 10 11.7 12.9 10.2 11.4 10.1 11.3 10.9 13.3 11.2 11.0 medication After 10.5 11.1 9.8 8.4 7.9 8.1 6.9 11.0 8.3 8.6 medication a) Are the samples independent? Justify your answer. b) Do the data provide sufficient evidence to indicate whether the medication has been effective in decreasing blood glucose level? Test using the critical value approach with = 0.05. c) Find the approximate p-value for the test and interpret its value using = 0.05. d) Find a 90% confidence interval for the difference in average blood glucose levels between the two groups. Based on this interval, can one conclude that there is a significant difference in average blood glucose level between the two groups? Justify your answer. Are your findings consistent with that in (a)? Question #6 [12 pts] Ten adults with symptoms of diabetes were randomly selected and a random blood glucose test was administered before and after a medication. Their blood glucose level readings were gathered before and after the medication; and the results are shown below. Page 3 Adult Before 1 2 3 4 5 6 7 8 9 10 11.7 12.9 10.2 11.4 10.1 11.3 10.9 13.3 11.2 11.0 medication After 10.5 11.1 9.8 8.4 7.9 8.1 6.9 11.0 8.3 8.6 medication a) Are the samples independent? Justify your answer. b) Do the data provide sufficient evidence to indicate whether the medication has been effective in decreasing blood glucose level? Test using the critical value approach with = 0.05. c) Find the approximate p-value for the test and interpret its value using = 0.05. d) Find a 90% confidence interval for the difference in average blood glucose levels between the two groups. Based on this interval, can one conclude that there is a significant difference in average blood glucose level between the two groups? Justify your answer. Are your findings consistent with that in (a)?