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Sampling, Inference & the t-Test · Question 40 of 70

What is the t-value for the coaching centre's sample?

Question 40

EasyOriginal 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.

What is the tt-value for the coaching centre's sample?

Options for question 40

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. t=74−7010/25=42t = \frac{74 - 70}{10/\sqrt{25}} = \frac{4}{2}.

  2. t=2t = 2.

Worth noting

0.4 divides by s=10s = 10 alone, not by the standard error 2.

Concept
Computing t
Typical time
90 s
Your time
—
The rule this testsNull and alternate hypotheses
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