A population has a mean muequals71 and a standard deviation sigmaequals24. Find the mean and standard deviation of a sampling distribution of sample means with sample size nequals64.

Mean 71

Standard deviation 3

Step-by-step explanation:

We use the Central Limit Theorem to solve this question.

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sampling distribution with a large sample size can be approximated to a normal distribution with mean and standard deviation

In this problem, we have that:

. So

Mean 71

Standard deviation

2x^2+5x+17

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a

step-by-step explanation: