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Sampling, Inference & the t-Test · Question 62 of 70

Question 62

MediumOriginal question

A sample of 36 has mean 82 and standard deviation 12. What is the t-value for testing H0:μ=80H_0: \mu = 80?

Options for question 62

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. t=xˉ−μs/n=82−8012/36t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = \frac{82 - 80}{12/\sqrt{36}}.

  2. =22=1= \frac{2}{2} = 1.

Worth noting

16\frac{1}{6} divides by s=12s = 12 alone; the standard error is 126=2\frac{12}{6} = 2.

Concept
Computing t
Typical time
90 s
Your time
—
The rule this testsThe one-sample t-test
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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.