In: Statistics and Probability
The mean amount purchased by each customer at Churchill’s Grocery Store is $35 with a standard deviation of $9. The population is positively skewed. For a sample of 42 customers, answer the following questions:
a. What is the likelihood the sample mean is at least $39? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)
Sample mean
b. What is the likelihood the sample mean is greater than $33 but less than $39? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)
Sample mean
c. Within what limits will 98% of the sample means occur? (Round the final answers to 2 decimal places.)
Sample mean and