A sample of 40 gives a mean of 52. Which of these is not a proper null hypothesis?

H_0: \mu = 50

Correct answerYour answer

H_0: \mu = 52

Correct answerYour answer

H_0: \bar{x} = 52

Correct answerYour answer

H_0: \mu = 55

Correct answerYour answer

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CorrectNot quiteAnswer C

Correct answer: C

A hypothesis is a claim about the population, so it is written with a parameter such as $\mu$ .
$\bar{x} = 52$ is already known from the sample; there is nothing to test.

Worth noting

$H_0: \mu = 52$ is a proper claim about the population, even though it matches the sample.

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

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

Explanation