Unit 4, Lesson 9: Variability in Samples Next > Cestiny Olcegou Variability of Sample Estimates The margin of orror we constructed here was constructed at a 95% confidence level. Since 95% of the time our sarmple proportion is within 2 standard deviations of the truo proportion for the population, by using a margin of error of 2 standard deviations we will capture the true proportion in our interval 95E of the time. What would happen to the margin of error if we woro okay with only capturing the true proportion 90% of the time? What would happen to the margin of error if ncoded to capture the trua proportion 99% of the time?

Question 3 You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately ơ = 46.6. You would like to be 98% confident that your estimate is within 1 of the true population mean. How large of a sample size is required? Hint: Video [+1 W nere to search 80

Plz don't give solution in image format Problem 3 Data from the Framingham Study allow us to compare the distributions of initial serum cholesterol levels for two populations of males: those who go on to develop coronary heart disease and those who do not. The mean serum cholesterol level of the population of men who do not develop heart disease is µ = 205mg/10ml and the standard deviation is σ = 36mg/100ml. Suppose, however, that you do not know the true population mean; instead, you hypothesize that µ is equal to 228mg/100ml. This is the mean initial serum cholesterol level of men who eventually develop the disease. Since it is believed that the mean serum cholesterol level for the men who do not develop heart disease cannot be higher than the mean level for men who do, a one-sided test conducted at the α = 0.05 level of significance is appropriate. a. What is the probability of making a type I error? b. If a sample of size 30 is selected from the population of men who do not go on…

Question 3