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Sampling, Inference & the t-Test · Question 34 of 70

If the survey had sampled 3,600 households instead, what would the standard error of the mean bill be?

Question 34

MediumOriginal question

A city has 3,60,000 households, and their monthly electricity bills have a standard deviation of ₹300. A random sample of 900 households has a mean bill of ₹1,850.

If the survey had sampled 3,600 households instead, what would the standard error of the mean bill be?

Options for question 34

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 3003,600=30060\frac{300}{\sqrt{3{,}600}} = \frac{300}{60}.

  2. ₹5: four times the sample halves the standard error.

Worth noting

₹2.50 divides by 4, as if the error fell with nn itself.

Concept
The standard error falls with \(\sqrt{n}\)
Typical time
120 s
Your time
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The rule this testsParameters, statistics and the central limit theorem
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