Question 19 1 pts We assume (see, for example, Confidence Intervals assumptions.docx ) L that when we construct a confidence interval the sample is a . (please type the name of the sample; make sure that your spelling is correct). Question 20 1 pts We define a simple random sample of size n as a sample chosen by the method in which each collection of n population items is equally likely to be selected. Consider the population of all senators in the senate today. We select a sample of two senators by randomly selecting a state and then taking two senators representing the state selected. Is this a simple random sample of size 2? [ Select or Question 22 1 pts When constructing confidence intervals for population mean with population distribution that is normal we can disregard the following assumptions. Choose all that apply. O sample size is more than 30 O sample is a simple random sample Question 23 1 pts Consider the population with mean 50 and standard deviation 15. We draw a sample of size 100. According to the theorem a sampling distribution x is approximately normal with mean and standard deviation Question 24 1 pt Let X~N(50, 1.5). Find the number that cuts off the upper 2.5% of values of X (in other words 97.5 percentile). Find the number that cuts off the lower 2.5% of values of X (in other words 2.5 percentile). Notice that the area above between those two points is equal to 95% of the entire area. Find the 95% confidence interval for the population mean / if sample mean x=50 and standard deviation is 1.5.