Instructions: Use 3 decimals critical values unless indicated. Correctly label distribution of the point estimate with symbol and subscript notation. Any interval should be given as an inequality with the correct parameter being in the middle. Round-off should only occur in the final answer unless specified; pay attention to desired round-off for the final answer. Look at the Canvas Quiz to see what will be needed for #11,12,13,14 & 15, as they are multiple parts in the Quiz. 11. A preliminary study to find out what percentage of college students attend college out-of- state found that 35% attended college another state (out-of-state) other than the one they grew up. If you use that preliminary study and wish to create an 90% confidence interval that is within 3% the true population proportion, what sample size should you use? Show all work including critical value work. Use 3 decimals in the critical value. 12. A group of 51 students are randomly chosen from SFSU to take an entrance exam for one their graduate programs. The average score on the entrance exam is 22.3. Since this test has been contrived, the population standard deviation is known to be 5.9. What is the margin of error for a 97% confidence interval to estimate the average score on the entrance exam? Round to 2 decimals. 13. Thirty-one randomly selected students took the common Statistics final, where the distribution of the population is known to be Normal. The sample mean was 68.4 points and the sample standard deviation was 16.1 points. Find 95% confidence interval for the variance of all Statistics student scores. Give to 6 decimals and then round to 2 decimals. 14. In the week before and the week after a holiday, there were a total of 11,000 deaths, 49.5% of which occurred the week before the holiday. Construct a 99% confidence interval estimate for the proportion of deaths that occur the week before a holiday in relation to the number the week before and after a holiday. Give your range in the form Round final interval to 3 decimals. Don't use percentages. Instructions: Use 3 decimals critical values unless indicated. Correctly label distribution of the point estimate with symbol and subscript notation. Any interval should be given as an inequality with the correct parameter being in the middle. Round-off should only occur in the final answer unless specified; pay attention to desired round-off for the final answer. Look at the Canvas Quiz to see what will be needed for #11,12,13,14 & 15, as they are multiple parts in the Quiz. 11. A preliminary study to find out what percentage of college students attend college out-of- state found that 35% attended college another state (out-of-state) other than the one they grew up. If you use that preliminary study and wish to create an 90% confidence interval that is within 3% the true population proportion, what sample size should you use? Show all work including critical value work. Use 3 decimals in the critical value. 12. A group of 51 students are randomly chosen from SFSU to take an entrance exam for one their graduate programs. The average score on the entrance exam is 22.3. Since this test has been contrived, the population standard deviation is known to be 5.9. What is the margin of error for a 97% confidence interval to estimate the average score on the entrance exam? Round to 2 decimals. 13. Thirty-one randomly selected students took the common Statistics final, where the distribution of the population is known to be Normal. The sample mean was 68.4 points and the sample standard deviation was 16.1 points. Find 95% confidence interval for the variance of all Statistics student scores. Give to 6 decimals and then round to 2 decimals. 14. In the week before and the week after a holiday, there were a total of 11,000 deaths, 49.5% of which occurred the week before the holiday. Construct a 99% confidence interval estimate for the proportion of deaths that occur the week before a holiday in relation to the number the week before and after a holiday. Give your range in the form Round final interval to 3 decimals. Don't use percentages