Question

Two sample summary hypothesis test. Consider a random sample of 14 M&M'S. Each weighed 2.5, 2.1, 2.7, 2.3, 3.0, 2.4 and 2.7. And the remaining 7 plain M&M'S weighed 08, 0.9, 0.8, 0.7, 0.9, and 0.6.

Answer 1

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

Group 1	Group 2
2.529	0.783	mean
0.298	0.117	std. dev.
7	6	n
	8	df
	1.7452	difference (Group 1 - Group 2)
	0.1225	standard error of difference
	0	hypothesized difference
	14.250	t
	5.73E-07	p-value (two-tailed)

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that µ1 ≠ µ2.