### Assignment 6 - Sampling Distributions and the Central Limit Theorem

Name: ______________________________

Circle your lab meeting time:
Monday 9:15 Monday 12:15 Monday 3:15 Wednesday 9:15 Wednesday 12:15

1. When mu is 100, sigma is 10, and n is 4, the sampling distribution of xbar has mean ____________ and standard deviation ____________.

The area to the right of 110 under a normal curve with the mean and standard deviation you found is ____________ which is (too small, too large, just about right) in comparison to the area under the actual sampling distribution.

2. When mu is 100, sigma is 10, and n is 400, the sampling distribution of xbar has mean ____________ and standard deviation ____________.

The area to the right of 101 under a normal curve with the mean and standard deviation above is __________ which is (too small, too large, just about right) in comparison to the area under the actual sampling distribution.

3. Discuss the accuracy of the normal approximation to the sampling distribution of the sample mean from skewed populations and sample size.

4. pMinimal sample size for good normal approximation (according to the rule).
0.2
0.01
0.5

5. Statement _______ is more correct.