Question 2 A (Continuous Probability Distribution) 5 MARKS The average time it takes to walk to the shopping mall from campus is normally distributed, with B.1. a mean of 12.2 minutes and a standard deviation of 2.5 minutes. Refer to the table in Appendix a. Compute the z-value associated with 14.3. (Round the final answer to 2 decimal places.) b. What proportion of the population is between 12.2 and 14.3? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.) c. What proportion of the population is less than 10.0? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.) 5 MARKS Question 2 B (Sampling Methods and the Central Limit Theorem) The mean amount purchased by each customer at Churchill's Grocery Store is $19, with a standard deviation of $9. The population is positively skewed. For a sample of 55 customers, answer the following questions. What is the likelihood the sample mean is greater than $16 but less than $20? (Round the z value to 2 decimal places and the final answer to 4 decimal places.)