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3:37 Back GW10 edited.docx Math 10 - Confidence Intervals for mean Name (gw10) Your goal in this group work assignment is to make an inference about the mean number of units ([) taken by De Anza students. For the purpose of this exercise, assume the population standard deviation, 0 , is equal to 5 units. Confidence interval for when is known X= Z 20 students were asked how many units they were taking at a community college 5 5 5 8 9 10 10 13 15 15 15 15 15 16 18 19 20 21 22 24 1. Calculate the sample mean. This is a point estimator for the population mean, OOExplain what this means. 2. Find a 95% confidence interval for the population mean, assuming I = 5. Calculate and explain the margin of error? 3. Find a 99% confidence interval for the population mean, assuming [ = 5. Interpret the interval and explain why the margin or error for the 99% confidence interval is wider than the 95% confidence interval calculated in question 2. 4. If all other quantities remain the same, how does the indicated change affect the minimum sample size requirement? Another way to think about this question is, "How could you change the sample size to ensure each of the following?" (a) Increase in the level of confidence (b) Increase in the error tolerance (margin of error) (c) Increase in the standard deviation 12 Dashboard Calendar To Do Notifications Inbox3137