Suppose a researcher is interested in the effectiveness of a new insulin drug at
ID: 3365102 • Letter: S
Question
Suppose a researcher is interested in the effectiveness of a new insulin drug at decreasing fasting glucose levels. In this particular study, the research team will use each participant as his own control, offering the participants the study drug either preceding or proceeding a control period involving best standard of care. Assume the following sample off participants enrolled in the study represents an appropriate approximation to the normal distribution.
Participant Fasting Glucose (mg/dL)
With new drug Fasting Glucose (mg/dL)
With Best standard care
1 123 134
2 113 129
3 114 128
4 102 123
5 106 127
6 109 134
7 101 124
8 104 121
9 116 131
10 124 137
A) What type of study is this?
B) Carry out a paired-sample t test to investigate the effectiveness at reducing the fasting glucose level with the new insulin drug. Write out the null and alternative hypotheses using an =0.05.
Explanation / Answer
a) This is before and after study on the same subjects.
b)
Below are the null and alternate hypothesis
H0: mu1 - mu2 = 0
H1: mu1 - mu2 < 0
test statistics = -11.97
As p-value (0.000) is less than significance level of 0.05, we reject the null hypothesis. This means there are significant evidence to conclude that the new drug is effective in reducing the blood sugar levels.
t-Test: Paired Two Sample for Means New Drug Best Standard Care Mean 111.2 128.8 Variance 67.73333333 27.51111111 Observations 10 10 Pearson Correlation 0.853011144 Hypothesized Mean Difference 0 df 9 t Stat -11.97528319 P(T<=t) one-tail 3.91815E-07 t Critical one-tail 1.833112933 P(T<=t) two-tail 7.8363E-07 t Critical two-tail 2.262157163Related Questions
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