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Sampling, Inference & the t-Test · Question 61 of 70

Question 61

MediumOriginal question

A sample of 9 has mean 18 and standard deviation 3. What is the t-value for testing H0:μ=20H_0: \mu = 20?

Options for question 61

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. t=xˉ−μs/n=18−203/9t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = \frac{18 - 20}{3/\sqrt{9}}.

  2. =−21=−2= \frac{-2}{1} = -2.

Worth noting

2 drops the sign: the sample mean is below 20.

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

Ten questions from Sampling, Inference & the t-Test, at your own pace.

Practise this chapter →

Ten questions from Sampling, Inference & the t-Test, at your own pace.