DA-291: Statistical Process Control 1. {5 points] A random variable is norrnallv distributed with u = 200 and o = 6:]. Determine the mean and the standard error of the sampling distribution of the mean for simple random samples with the following sample sizes: a n=25 b. n=1lZlD c. n=144 2. {5 points] Why is the central limit theorem so important to statisticians? 3. {5 points] What is the difference between a point estimate and an interval estimate? 4. {5 points] lfthe actual population mean u: 15 and the interval estimate is between 12 and 13, does the interval estimate include the actual population parameter? Circle the correct answer below. YES NO NOT ENOUGH INFO 5. {5 points] lfthe actual population mean p: 15 and the interval estimate is between 19 and 23, does the interval estimate include the actual population parameter? Circle the correct answer below. YES NO NOT ENOUGH INFO