Question

According to the Mayo Clinic, a fasting blood sugar of 100 mg/dL is considered to be...

According to the Mayo Clinic, a fasting blood sugar of 100 mg/dL is considered to be normal. A doctor claims that his patients have a lower fasting sugar due to a new drug that he prescribes. The data is shown to the left. Test the doctor's claim at 0.05 level of significance. Is the drug working? What might be some issues with this dataset?

Sample Population
Mean 77.98571429 Mean 100
Std Dev 12.28465858
N 70 H0: μ= 100
DF 69 Ha: μ< 100 claim
Reject null
Numerator -22.0142857
Denominator 1.468297539
T- Score -14.9930686
P- Value 1.06928E-23
Critical Value -1.66723855
Significance 0.05

Homework Answers

Answer #1

Since p-value = 1.06928E-23 < 0.05 i.e. H0 can be rejected and hence we can say that there is enough evidence to conclude that doctor's patients have a lower fasting sugar due to a new drug that he prescribed and hence drug is working.

Some problems may be:

  • Patients may not fasted the night before and hence less fasting sugar is due to the other reason and not drug.
  • It may so happen that the patients so chosen already have less sugar and hence no contribution of the drug.

Please upvote if you have liked my answer, would be of great help. Thank you.

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