Question

In a fictional study, suppose that a psychologist is studying the effect of daily meditation on resting heart rate. The psychologist believes the patients who not meditate have a higher resting heart rate. For a random sample of 45 pairs of identical twins, the psychologist randomly assigns one twin to one of two treatments. One twin in each pair meditates daily for one week, while the other twin does not meditate. At the end of the week, the psychologist measures the resting heart rate of each twin. Assume the mean resting heart rate is 80 heart beats per minute. The psychologist conducts a T-test for the mean of the differences in resting heart rate of patients who do not meditate minus resting heart rate of patients who do meditate. Which of the following is the correct null and alternative hypothesis for the psychologist’s study? H0: µ = 80; Ha: µ > 80 H0: µ = 0; Ha: µ ≠ 0 H0: µ = 0; Ha: µ > 0

Answer 1

Solution:

Paired t test for the difference between two means

A psychologist want to test whether there is difference between two means or not

Let be the population mean difference i.e.

No significant difference : = 0

Significant difference : 0

So the null and alternative hypothesis are

H0 : = 0 , Ha : 0