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Sampling, Inference & the t-Test · Question 24 of 70

What is the standard error of the mean bill in the electricity-bill survey?

Question 24

EasyOriginal 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.

What is the standard error of the mean bill in the electricity-bill survey?

Options for question 24

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Standard error =σn=300900= \frac{\sigma}{\sqrt{n}} = \frac{300}{\sqrt{900}}.

  2. 30030=10\frac{300}{30} = 10 rupees.

Worth noting

₹300 is the spread of single bills; averages of 900 bills vary far less.

Concept
The standard error of the mean
Typical time
90 s
Your time
—
The rule this testsParameters, statistics and the central limit theorem
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