A bank has kept records of the checking balances of its customers and determined that the average daily balance of its customers is $300 with a standard deviation of $48. A random sample of 144 checking accounts is selected.
a.What is the probability that the sample mean will be more than $306.60?b.What is the probability that the sample mean will be less than $308?c.What is the probability that the sample mean will be between $302 and $308?d.What is the probability that the sample mean will be at least $296?
What will be an ideal response?
| a. | 0.0495 |
| b. | 0.9772 |
| c. | 0.2857 |
| d. | 0.8413 |
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