In: Statistics and Probability
The insulin pump is a device that delivers insulin to a diabetic patient at regular intervals. It presumably regulates insulin better that standard injections. However, data to establish this point are few, especially in children. The following study was set up to assess the effect of use of the insulin pump on HbgA1c, which is a long term marker of compliance with insulin protocol. In general, a normal range for HgbA1c is < 7%. Data were collected on 256 diabetic patients for 1 year before and after using the insulin pump. A subset of the data for 10 diabetic patients is given in the table below.
ID: HgbA1c i year before (%) HgbA1c 1 year after (%)
1. 6.7 7.0
2. 7.4 7.4
3. 9.2 8.6
4. 9.6 8.1
5. 7.4 6.8
6. 8.1 7.0
7. 10. 8 8.5
8. 7.1 7.7
9. 7.9 9.7
10. 10.8 7.7
Test the hypothesis that the measured HgbA1c 1 year after the insulin pump will be different from HgbA1c 1 year before thr insulin pump.Set your p - value to indicate statistical significance at ,0.05.
1. What is the null and alternative hypothesis
2. What is the means and standard deviation for each group
3. What is the alpha level, the df and whether it is one tail or two tail