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StatisticsQ&A LibraryA population of values has a normal distribution with μ=204.9μ=204.9 and σ=27σ=27. You intend to draw a random sample of size n=195n=195.What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯=Question

Asked Mar 13, 2020

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A population of values has a normal distribution with μ=204.9μ=204.9 and σ=27σ=27. You intend to draw a random sample of size n=195n=195.

What is the mean of the distribution of sample means?

μ¯x=μx¯=

What is the standard deviation of the distribution of sample means?

(Report answer accurate to 2 decimal places.)

σ¯x=σx¯=

Step 1

**Solution:**

From the given information, a population mean is µ=204.9, a population standard deviation is σ=27 and n=195.

By using central limit theorem as the sample size becomes large, sample mean(X-bar) follows normal ...

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