Question

.) A population of values has a normal distribution with μ=27.5 and σ=71.5. You intend to draw a random sample of size n=180.

Answer 1

Answer:  a) 27.5, b) 5.33.

Step-by-step explanation:

Since we have given that

$\mu =27.5\\\\\sigma =71.5$

and n = 180

We need to calculate the sample mean and sample standard deviation.

So, the mean of the distribution of sample means is

$\mu = \mu_x=27.5$

The standard deviation of the distribution of sample means is

$s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{71.5}{\sqrt{180}}=5.329=5.33$

Hence, a) 27.5, b) 5.33.