Question

Ch 7 # 2: please assist with finding the probability for b, A has been answered correctly. Thank you!

A random sample is drawn from a population with mean μ = 51 and standard deviation σ = 4.3. [You may find it useful to reference the z table.]

a. Is the sampling distribution of the sample mean with n = 12 and n = 38 normally distributed?

• Yes, both the sample means will have a normal distribution.

• No, both the sample means will not have a normal distribution.

• No, only the sample mean with n = 12 will have a normal distribution.

• $\rightarrow$ No, only the sample mean with n = 38 will have a normal distribution.

b. Calculate the probability that the sample mean falls between 51 and 53 for n = 38. (Round intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

Probability:_____________________

Answer 1