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Sampling, Inference & the t-Test · Question 57 of 70

Question 57

MediumOriginal question

A sample of 16 has mean 52 and standard deviation 8. What is the t-value for testing H0:μ=50H_0: \mu = 50?

Options for question 57

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. t=xˉ−μs/n=52−508/16t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = \frac{52 - 50}{8/\sqrt{16}}.

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

Worth noting

14\frac{1}{4} divides by s=8s = 8 alone; the standard error is 84=2\frac{8}{4} = 2.

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