Question

5. You are surveying top Amazon sellers of medical gloves in the US and Canada to determine if there is a price difference. While there are no extreme outliers, you select a random sample of observations summarized in the table below. Perform a T-test to determine if there a difference. Show all work, including hypotheses, calculations, and conclusions.

	Count	Mean	Variance
US Sellers	10	$10.95	$4.00
Canadian Sellers	7	$9.99	$6.25

Answer 1

Let sample 1 is sample of US sellers and sample 2 is sample of Canadian sellers .

Claim : Determine if there is a price difference between medical gloves in US and Canada.

The hypothesis are :

H0 : v/s H1:

The test statistic is,

  

= 0.844

  

= 11.09 11

p value = 2* p ( t < 0.844 ) = 0.4166 ------------( using excel formula "=t.dist.2t( 0.844,11)" )

So here p value > ( 0.05 ) .

Hence we failed to reject null hypothesis.

Conclusion : There is no sufficient evidence to support the claim that there is a price difference between medical gloves in US and Canada.