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Effect of Standard Deviation Error on T-Value

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In a matched pairs experiment, the blood pressure of 12 patients was measured before and after they took a medication. The mean of the differences (after − before) was x̄d = -8.5 mmHg, with a standard deviation of sd = 6.2 mmHg. If a researcher incorrectly used sd = 3.1 mmHg when calculating the test statistic, how would the calculated t-value be affected?

A

The t-value would be squared

B

The t-value would remain unchanged

C

The t-value would double in magnitude

D

The t-value would be halved

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