Question

The following data is based on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola:

Beverage	Sample Size	Sample Mean	Sample St. Dev.	Sample St. error
Strawberry drink	15	545	22	5.68
Cola	15	561	16	4.13

Assuming that both samples were selected from normal distributions, does the data suggest that the extra carbonation of cola results in a higher average compression strength? Choose the correct p-value for this test:

		0.016
		0.21
		0.616
		0.05

Answer 1

H0 : mu1 = mu2
HA: mu1 > mu2

test statistics:
t = (x1 - x2)/sqrt(s1^2/n1+s2^2/n2)
= (561 - 545)/sqrt(16^2/15 + 22^2/15)
= 2.2780

p value = .016