A study tested the effectiveness of a bionic pancreas for automated glucose management among patients with Type I diabetes. In random order, each patient received therapy with a bionic pancreas for 5 days and therapy with an insulin pump for 5 days. The plasma glucose level (in mg/dl) was measured in each condition for each of the 32 adolescent patients, and they calculated the difference in plasma glucose level for each patient in this order: Insulin Pump – Bionic Pancreas. They found and . What is the correct test statistic to test the claim that, on average, a bionic pancreas helps patients attain a lower plasma glucose level than an insulin pump?
a. |
1.201 |
|
b. |
1.073 |
|
c. |
0.095 |
|
d. |
3.036 |
|
e. |
2.988 |
Given that, sample size (n) = 32
The mean and standard deviation of the difference between,
Pump - Bionic Pancreas are,
The null and alternative hypotheses are,
H0 : μd = 0
Ha : μd < 0
Test statistic is,
=> Test statistic = t = 3.036
Answer : d) 3.036
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