Question

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

Answer 1

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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