idea humber - Bing IDEAS G @ https://imathas.humber.ca/assess2/?cid=359&aid=10204#/skip/9 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. O . For the same sample data, a 95% confidence interval will be wider than a 99% confidence interval. D . Decreasing the confidence level will increase the width of the confidence interval. . The width of the confidence interval depends on the size of the confidence level. O . If a confidence interval does not contain the population parameter, then an error has been made in the calculation. O . A 99% confidence interval must capture 99% of the sample values. O . If the point estimate and lower limit for a confidence interval are 153.2 and 138.2 respectively, then the upper limit must be 321.4. O . For a confidence level of 99%, the right-tail area a/2 = 49.5. D . If a particular 93% confidence interval captures the population mean, then for the same sample data, the population mean will also be captured at the 97% confidence level. O . A point estimate is a single population parameter that is used to estimate a sample statistic. O . Increasing the sample size will decrease the width of the confidence interval. O . A confidence interval that fails to capture the population mean will also fail to capture the sample mean. O . If a confidence interval for the population mean is constructed from a sample of size n = 30, that interval must contain the sample mean