Ft random sample of 49 observations with a mean of 1'5 is selected from a normallyr distributed population. Assume the mpulation standard deviation is 21. '1. In developing a[n}I 95% condence interval estimate for the population mean, determine the following values: 2' \\. a} [Do not round] Point Estimate 2 "t. 2' / N. lo] [2 decimal places] Signicance level {or} = \"N. {" Round the critical value to two {2] decimal places and use the rounded value to calculate parts cl} to g]. .-' \\ c} [Enten a positive value] Criticalvalue = "\\ / d] [3 decimal places] Standard Error of the Mean 2 e] [1 decimal place] Margin of Error = f] [1 decimal place] Lower Condence Limit = g] [1 decimal place] Upper lCondence Limit 2 2. How large a sample is required to keep the margin of error within 4 units with 95% condence? Ftepor't your answer as an integer'. In constructing a confidence intenral 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 incor'r'ect selection. D - A 99% confidence interval must capture 99% of the population values. D - If a particular seas confidence interval captures the population mean. then for the same sample data. the population mean will also be captured at the 33% condence level. [:1 - If the point estimate and lower limit for a condence interval are 136.6 and 'lTD respectively. then the upper limit must be 389.2. D - If a confidence interval does not contain the population parameter. then an error has been made in the calculation. D - For the same sample data. a 95% confidence interval will be narrower than a 99% condence interval. CI - A point estimate is a single population parameter that is used to estimate a sam ple statistic. D - A confidence interval that fails to capture the population mean will also fail to capture the sample mean. D - Increasing the confidence level will increase the width of the confidence interval. D - If a confidence interval for the population mean is constructed from a sample of size - : 3H. that interval must contain the sample mean. [:1 - For a condence level of 99913. the righttail area ct}? = DUDE. D - Increasing the sample size will increase the width ofthe condence interval. D - The width of the condence interval depends on the size ofthe sample mean