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 weck. 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 crror mean in the context of this problem? d. If x=205.8mg/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 test2 AW MacBook Air so 000 000 F3 F4 F5 < F6 F7 FB

Answer 1

Let lli mean Holl = 200 blood glucose level. Ho: Sally is not diabetic Hi : Salle is is diabetic. V HI: 17200 ie.

b) Type 1 error would mean wrongly concluding that Sally is diabetic when in fact she is not.

205.8 10.6 1 n = 40 Mo=200 2 2 Statistici to llo no ta-lod Blon to 205.8 200 10.6 40 to 11 3.46

c) Type 2 error would mean wrongly concluding that Sally is not diabetic when in fact she is diabetic.