Question

1. Researchers are interested in comparing two floor waxes. Ten floors were chosen at random from a Brooklyn warehouse. Each floor was divided into two sections. One wax was applied to one section and the other wax was applied to the other section. After one week of wear, each section was tested for the amount of wax remaining. The results are presented in the table below.

Floor	1	2	3	4	5	6	7	8	9	10
Wax 1:	34	56	45	72	28	86	78	64	58	97
Wax 2:	27	50	48	70	32	78	68	57	50	95

In this scenario, which test is likely to be most appropriate?

	a	Separate-variance t test for the difference between two means
	b	Pooled-variance t test for the difference between two means
	c	Z test for the difference between proportions
	d	Paired difference test

Answer 1

Sol:

wax 1 and wax2 are 2 independent samples

and sample sizes of both are less than 30

perform t ttest fpr indpendent samples assuming unequal variance

if it is paired then it would ten floors painted with wax 1

and after 10 days the ten floors if painted with wax2 and checked for difference in means

Its not paired t test and no where it is mentioned pooled variance

soits indpendent t test assuming unequal variance

ANSWER":

a

Separate-variance t test for the difference between two means