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?

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

5/6

step-by-step explanation:

if i remember correctly with perpendicular stuff you just take away the negative

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i