Final answer:
To determine if the sample mean will be approximately normally distributed, there are several conditions that need to be checked: 1) The data should come from a simple, random sample. 2) The population should be approximately normally distributed. 3) The sample size should be large. 4) The population standard deviation should be known.
Step-by-step explanation:
To determine if the sample mean will be approximately normally distributed, there are several conditions that need to be checked:
- The data should come from a simple, random sample.
- The population should be approximately normally distributed.
- The sample size should be large.
- The population standard deviation should be known.
If these conditions are met, the sample mean will be approximately normally distributed.