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Sampling, Inference & the t-Test · Question 58 of 70

Question 58

MediumOriginal question

A sample of 25 has mean 47 and standard deviation 10. What is the t-value for testing H0:μ=50H_0: \mu = 50?

Options for question 58

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. t=47−5010/25=−32t = \frac{47 - 50}{10/\sqrt{25}} = \frac{-3}{2}.

  2. t=−1.5t = -1.5: the sample mean is below the claimed mean.

Worth noting

1.5 drops the sign: the sample mean is below 50, so tt is negative.

Concept
A negative t-value
Typical time
90 s
Your time
—
The rule this testsThe one-sample t-test
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