Please help with this question:
A simple random sample of size n=36 is obtained from a population with μ=64 and σ=18.
a. Describe the sampling distribution of x̄
b. what is P(x̄

Question

Please help with this question:
A simple random sample of size n=36 is obtained from a population with μ=64 and σ=18.
a. Describe the sampling distribution of x̄
b. what is P(x̄ < 62.6)?
c. what is P(x̄ ≥ 68.7)?
d. what is P(59.8 < x̄ < 65.9?

kropot72 · Answer

a. The sample size is greater than 30, therefore according to the Central Limit Theorem, the distribution of the sample means will be approximately Normal.