Question

6. The blood glucose level a person varies throughout the day. Someone with a mean glucose level of more than 200 mg/dL is a diabetic. Diabetes is a serious medical condition and may need to be hospitalized or more extensive care. Sally has not been feeling well and her doctor suspects that she is a diabetic and so sends her home with a blood glucose monitor so that she can test her glucose levels over the course of a week. She was instructed to measure her glucose level 40 times that week. In so doing she found that her average blood glucose level was... a. Set up hypotheses for a significance test to determine if Sally is a diabetic. b. What would a Type I error mean in the context of this problem? c. What would a Type II error mean in the context of this problem? d. If T = 205.8 mg/dL and the standard deviation of her measurements was s = 10.6 mg/dL, what is the value of the test statistic that would be used for a significance test?

Answer 1

d) Given 7= 205.8 mg mglde. s= 10.6 with n=40 Sincen=40780 test. See ==x-14 unlol) we used large sample test 2 = 0.00627 Slun z=(7-200). Vo Under Ho. 10-6 (205.8-206) 10.6 3.460 605 p value = p)22 3:46] I chodidlo level of pualue«e «=0,05 svejed Ho! at sy los and conclude that peoo i.e. strally is a diabetic los 3:19 x=0.05 volgd nifican Hoe 'pvalue Dis we