Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $128,000. This distribution follows the normal distribution with a standard deviation of $33,000.

Required:
If we select a random sample of 66 households, what is the standard error of the mean?

Note: Round your answer to the nearest whole number.



What is the expected shape of the distribution of the sample mean?



What is the likelihood of selecting a sample with a mean of at least $130,000?

Note: Round your z-value to 2 decimal places and final answer to 4 decimal places.



What is the likelihood of selecting a sample with a mean of more than $120,000?

Note: Round your z-value to 2 decimal places and final answer to 4 decimal places.



Find the likelihood of selecting a sample with a mean of more than $120,000 but less than $130,000.

Note: Round your z-value to 2 decimal places and final answer to 4 decimal places