Question

In an experiment, students were given words to memorize, then were randomly assigned to either take a 90 minute nap or take a caffeine pill. A couple hours later, they were tested on their recall ability. We wish to test to see if the sample provides evidence that there is a difference in mean number of words people can recall depending on whether they take a nap or have some caffeine. What are the null and alternative hypotheses for this test?

Answer 1

Answer:

H0 : μ1 = μ2

H1: μ1 ≠ μ2

Step-by-step explanation:

To test for difference in the sample means of the scenario described above :

The null hypothesis will be that; there is no statistical significance between the sample means of both conditions

μ1 = 90 minute nap mean

μ2 caffeine pill mean

Null hypothesis :

H0 : μ1 = μ2

Alternative hypothesis will negate the null hypothesis, by taking a stance that there exist a statistical significance between the means ; taking a stance that the sample means are not equal

Alternative hypothesis :

H1: μ1 ≠ μ2