nformation from the American Institute of Insurance indicates the mean amount of life insurance per household in the Uni

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nformation from the American Institute of Insurance indicatesthe mean amount of life insurance per household in the UnitedStates is $112,000. This distribution follows the normaldistribution with a standard deviation of $40,000. Required: a. Ifwe select a random sample of 50 households, what is the standarderror of the mean? (Round your answer to the nearest wholenumber.)
What is the expected shape of the distribution of the samplemean?
c. What is the likelihood of selecting asample with a mean of at least $115,000? (Roundyour z-value to 2 decimal places and final answer to4 decimal places.)
d. What is the likelihood of selecting asample with a mean of more than $102,000? (Roundyour z-value to 2 decimal places and final answer to4 decimal places.)
e. Find the likelihood of selecting a samplewith a mean of more than $102,000 but less than$115,000. (Round your z-value to 2decimal places and final answer to 4 decimalplaces.)