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Sampling, Inference & the t-Test · Question 14 of 70

Question 14

MediumOriginal question

In a systematic sample with interval 15, the random start is the 4th unit. Which unit is the 5th to be chosen?

Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The chosen units are 4, 19, 34, 49, 64, …: the kkth is 4+(k−1)×154 + (k - 1) \times 15.

  2. The 5th is 4+4×15=644 + 4 \times 15 = 64.

Worth noting

79 adds 15 five times; the start itself is the first unit.

Concept
The units in a systematic sample
Typical time
90 s
Your time
—
The rule this testsPopulation and sample
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Ten questions from Sampling, Inference & the t-Test, at your own pace.

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

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