Question

Assume that you want to test the claim that the paired sample data come from a population for
which the mean difference is μd = 0. Compute the value of the t test statistic. Round intermediate
calculations to four decimal places as needed and final answers to three decimal places as needed.

x	28	31	20	25	28	27	33	35
y	26	27	26	25	29	32	33	34

A) t = -1.185

B) t = -0.523

C) t = -1.480

D) t = -0.690

Please show all work clearly. Thank you!

Answer 1

For the given sample details the t-test for the paired sample is conducted with the help of data analysis tool of excel whose output is:

t-Test: Paired Two Sample for Means
	x	y
Mean	28.375	29
Variance	22.26786	12.57143
Observations	8	8
Pearson Correlation	0.700139
Hypothesized Mean Difference	0
df	7
t Stat	-0.52332
P(T<=t) one-tail	0.308452
t Critical one-tail	1.894579
P(T<=t) two-tail	0.616903
t Critical two-tail	2.364624

So, the Test Statistic is computed as B) t = -0.523