A random sample ofn = 49 observations has a mean )7 = 26.6 and a standard deviation 5 = 3.5. (a) Give the point estimate of the population mean [4. 26.6 J Find the 95% margin of error for your estimate. (Round your answer to four decimal places.) 0.8575 X (b) Find a 90% condence interval for M- (Round your answers to three decimal places.) 25.880 X to 27.320 x What does "90% confident" mean? O In repeated sampling, 90% of all intervals constructed in this manner will enclose the population mean. 0 In repeated sampling, 10% of all intervals constructed in this manner will enclose the population mean. There is a 90% chance that an individual sample mean will fall within the interval. 0 There is a 10% chance that an individual sample mean will fall within the interval limits. 0 90% of all values will fall within the interval limits. X (c) Find a 90% lower condence bound for the population mean [4- (Round your answer to two decimal places.) 26.04 x Why is this bound different from the lower condence limit in part (b)? O This bound is calculated using Zu/Z, while the lower confidence limit in part (b) is calculated using 2\". O This bound is calculated using , while the lower condence limit in part (b) is calculated using n. O The lower bounds are based on different values of Z This bound is calculated using n, while the lower condence limit in part (b) is calculated using . 0 This bound is calculated using 2\