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Sampling, Inference & the t-Test · Question 49 of 70

Which hypotheses test the coaching centre's claim?

Question 49

MediumOriginal question

A coaching centre claims its students score more than 70 on average in a mock test. A random sample of 25 of its students has a mean of 74 with standard deviation 10. For 24 degrees of freedom at the 5% level, the one-tailed critical value of tt is 1.711 and the two-tailed one is 2.064.

Which hypotheses test the coaching centre's claim?

Options for question 49

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The null hypothesis is the 'no better than 70' position, μ=70\mu = 70.

  2. The claim of more than 70 is the alternative, H1:μ>70H_1: \mu > 70, a right-tailed test.

Worth noting

The null hypothesis always carries the equals sign; the claim to be shown goes in H1H_1.

Concept
Setting up a one-tailed test
Typical time
120 s
Your time
—
The rule this testsNull and alternate hypotheses
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.