Question

The time in minutes it took eight white mice to learn to run a simple maze and the times it took eight brown mice to learn to run the same maze are given below. At an alpha level of .05 does the color of the mice make a difference in their learning rate? Assume the variances are unequal. List null and alternate hypothesis, critical value, test values, and whether the null was rejected or accepted.

White Mice: 18,24,20,13,15,12,19,15

Brown Mice: 25,16,19,14,16,10,27,19

Answer 1

Solution:

Install analysis tool pak

Go to Data >Data analysis>t.test:Two sample assuming Unequal variance

You will get

t-Test: Two-Sample Assuming Unequal Variances
	White mice	Brown mice
Mean	17	18.25
Variance	16	31.35714286
Observations	8	8
Hypothesized Mean Difference	0
df	13
t Stat	-0.513762333
P(T<=t) one-tail	0.308019336
t Critical one-tail	1.770933396
P(T<=t) two-tail	0.616038672
t Critical two-tail	2.160368656

Coming to answer:

null hypothesis:

alternate hypothesis:

critical value tc=2.160368656

test values,t=-0.513762333

p=

0.616038672

p>0.05

Fail to reject null hypothesis

accept Null hypothesis.