Question

A normal distributed population has parameters μ=184.9 and σ=87. If a random sample of size n=184 is selected, a. What is the mean of the distribution of sample means? μ

x
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= b. What is the standard deviation of the distribution of sample means? Round to two decimal places. σ
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=

Answer 1

The mean of the distribution of sample means is the same as the population mean. The standard deviation of the distribution of sample means can be calculated using the formula σX = σ / √n

Step-by-step explanation:

The mean of the distribution of sample means is equal to the population mean, which is given as μ = 184.9. Therefore, the mean of the distribution of sample means is also μ = 184.9.

The standard deviation of the distribution of sample means is calculated using the formula σX = σ / √n, where σ is the population standard deviation and n is the sample size.

Plugging in the values, we have σX = 87 / √184 = 6.45 (rounded to two decimal places).