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a population of toy cars has a mean length of 10.5 centimeters and a standard deviation of 5 centimeters. an inspector selects a random sample of 1250 toy cars. what is the approximate standard deviation of the sampling distribution of all samples with n



Answer :

MrRoyal

The standard deviation of the sampling distribution is 177

How to determine the standard deviation of the sampling distribution?

From the question, the given parameters are

Population standard deviation = 5 cm

Toy cars = 1250

Mean = 10.5

These can be represented as

σ = 5

n = 1250

μ = 10.5

The sampling standard deviation is calculated as

σₓ = σ√n

So, we have

σₓ = 5 * √1250

Evaluate

σₓ = 177

Hence, the sampling standard deviation is 177

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