Question

Assume that you want to test the claim that the paired sample data come from a...

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!

Homework Answers

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

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