In constructing a confidence interval for a population mean, which of the following are true? Select four (4) true statements from the list below: Note: A point is deducted 'for' each incorrect selection. Cl - Increasing the sample size will not change the width of the confidence interval. - If the point estimate and upper limit for a confidence interval are 1T8.2 and 139.2 respectively, then the lower limit must be 11. Cl - A confidence interval that fails to capture the population mean will also fail to capture the sample mean. Cl - lfa particular 94% condence interval captures the population mean, then for the same sample data, the population mean will also be captured at the 97% confidence level. Cl - lfa confidence interval does not contain the point estimate, then an error has been made in the calculation. Cl - A 9?% confidence interval must capture 9?% of the sample values. Cl - lfa confidence interval for the population mean is constructed from a sample of size n = 30, that interval must contain the population mean. - A point estimate is a single population parameter that is used to estimate a sample statistic. Cl - The width of the condence interval depends on the size of the sample. C] - For the same sample data, a 95% confidence interval will be narrower than a 99% confidence interval. - Increasing the confidence level will not change the width of the confidence interval. - For a confidence level of 9?%, the righttail area 012 = 0.97. A random sample of 21 observations with a mean of 86 is selected from a normally distributed population. Assume the mpulation standard deviation is 19. 1. In developing am) 83% confidence interval estimate for the population mean, determine the following values: a) [Do not round] Point Estimate = -. b] [2 decimal places] Significance level [or] = -. Round the critical value to two (2] decimal places and use the rounded value to calculate parts d) to g]. C} [Enter a positive value] Critical value = -. d] [3 decimal places] Standard Error of the Mean = -. e) [1 decimal place] Margin of Error = f] [1 decimal place] Lower Condence Limit = -. g] [1 decimal place] Upper Confidence Limit = -. 2. How large a sample is required to keep the margin of error within 4 units with 83% confidence? Report your answer as an integer. E32 X