Solve these questions and explain why. Thank you

3 What is a proper interpretation of an 86% condence interval on the mean value? a) 14% of the time that we perform this process, the true population mean will fall within the boundaries of our CI. b) 86% of the time that we perform this process, the true population mean will fall within the boundaries of our CI. c) 86 condence intervals have the population mean inside the calculated boundaries. d) 86% of the time, the population mean falls within the boundaries established by the CI calculations, if our sample size is at least 30. e) For every 100 C13 we develop using this procedure, 86 will contain the population mean. 4 We have developed a CI on the proportion of the public that would buy a new product, "Aggie-O's" cereal. The 95% CI runs from 40% to 65%. At a subsequent meeting, The Budget Department makes the claim that we shouldn't spend the money to launch the new product, because only 35% of the public will buy it. Which of the following is your best supportable response? a) My study doesn't support you statement right now, but it might if we could decrease the standard deviation of our study. b) My study doesn't support you statement right now, but it might if we increased the sample size. c) My study doesn't support your statement. d) My study doesn't support you statement right now, but it might if we decreased the confidence interval percentage. e) My study supports your statement as reasonable.10 What are the three components used to develop a confidence interval on the mean? a) CI's for 1) means, 2) proportions and 3) variances. b) 1) the point estimate, 2) a Z or T-value relating to the confidence level and 3) the standard error of the estimate, based on our sample size. c) 1) the point estimate, 2) +/- the width of the CI and 3) the sample size d) 1) 99%, 2) 98% and 3) 95%, the three most frequently developed CIs S e) 1) 2 )1 pq and 3) X (-(a12),n-1 n n\\6 What is the \"rejection region\" in hypothesis testing? a) It is the total area under the curve, minus the acceptance region. b) It is the area of the curve relating to Z or T values (generally) that are more extreme than our critical value(s). c) It is the area where our test statistic falls on the curve. d) It is the number of standard deviations that our point estimate lies to the right or left of the center of our sampling distribution. e) In all cases, it is the area of the curve outside of our condence interval