1 Math 215 test scores are normally distributed with a mean
1. Math 215 test scores are normally distributed with a mean of 75 and a standard deviation of 13. A sample of 120 student tests was randomly selected and found to have a sample mean of 79 and standard deviation of 15. Answer the following questions based on this scenario.
Explain whether the sampling distribution is normal.
| Question | Symbol | Numeric Value |
| When samples of 120 tests are selected from this population, what is the standard deviation of the sampling distribution of sample means? | ||
| Explain whether the sampling distribution is normal. | NA | NA |
Solution
SE(xbar)=sd/sqrt(n)=15/sqrt(120)=1.3693
