Questions 34 and 38 An experiment was conducted to study responses to different

Question

Questions 34 and 38 An experiment was conducted to study responses to different methods of taking insulin in patients with type I diabetes. The percentages of glycosolated hemoglobin initially and 3 months after taking insulin by nasal spray are given in the table below. Conduct two-sided sign Rank Test with alpha-s to determine if there is a significant difference in glycosolated hemoglobin after taking insulin by nasal spray. What the critiical value? 0 2 4 6 What is the sum of the positive ranks (ie.w+)? 36 15 24 21 What is the sum of the absolute value of negative ranks (ie w-)? 36 15 24 21 What is the test statistic? 36 15 26 21 True or Faber: There is no significant difference in hemoglobin in patients 3 months after taking insulin by nasal spray.

Explanation / Answer

34)

Here critical value is 4.

38) Ho: There is no significant difference in glycosolited hemoglobin in patients.

H1: There is significant difference in glycosolited hemoglobin in patients.

Before (x) Three months after (y) sign |x - y| sign rank

12 10.2 1 1.8 8

7.7 7.9 -1 0.2 -1

5.9 6.6 -1 0.7 -3

9.5 10.4 -1 0.9 -5

7.6 8.8 -1 1.2 -6

8.6 9 -1 0.4 - 2

11 9.5 1 1.5 7

6.9 7.7 -1 0.8 - 4

Sum of positive rank is 15

Sum of negative rank is 21

w statistics is 15

sample size is 8

So z score is -0.420084

p value is 0.6744

So at 0.05 significance level we have to accept Ho , that is result is not significant at 0.05.

So statement is true.

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