A random sample is drawn from a normally distributed population with mean μ = 30 and standard deviation σ = 2.3. [You may find it useful to reference the z table.]
a. Are the sampling distribution of the sample mean with n = 35 and n = 76 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 = 35 will have a normal distribution.
No, only the sample mean with n = 76 will have a normal distribution.
b. Calculate the probabilities that the sample mean is less than 30.7 for both sample sizes. (Round intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)
n | Probability |
35 | |
76 |
(a) Ans : Yes, both the sample means will have a normal distribution.
(b)
Get Answers For Free
Most questions answered within 1 hours.