Answer:
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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution with a large sample size can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that:
[tex]\mu = 71, \sigma = 24, n = 64[/tex]. So
Mean 71
Standard deviation [tex]s = \frac{24}{\sqrt{64}} = 3[/tex]
