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!
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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