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Effectus [21]
3 years ago
6

.) 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.

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

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.

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