A random sample is drawn from a normally distributed population with mean U=11 and standard deviation o=1.7. You may find it useful to reference the z table. a. Are the sampling distribution of the...

A random sample is drawn from a normally distributed population with mean U=11 and standard deviation o=1.7. You may find it useful to reference the z table.

a. Are the sampling distribution of the sample mean with n=20 and n=35 normally distributed?

Multiple choice:

1 yes both the smaple means will have a normal distribution.

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

3. No only the sample mean with n=20 will have a normal distribution.

4. No only the sample mean with n=35 will have a  normal distribution.

b. Calculate the probabilities that the sample mean is less than 11.6 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
20
20

Extracted text: A random sample is drawn from a normally distributed population with mean p = 11 and standard deviation o = 1.7. [You may find it useful to reference the z table.] a. Are the sampling distribution of the sample mean with n= 20 and n= 35 normally distributed? O Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. O No, only the sample mean with n= 20 will have a normal distribution. O No, only the sample mean with n= 35 will have a normal distribution. b. Calculate the probabilities that the sample mean is less than 11.6 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.) Probability 20 35