A Iandom sample ofn = 36 observations has a mean ; = 26.2 and a standard deviation 5 = 3.7. (a) Give the point estimate of the population mean _u. : Find the 95% margin of error for your estimate. [Round your answer to four decimal places.) : (b) Find a 90% condence interval for In. {Round your answers to three decimal places.) :lt|:| What does "90% condent'I mean? 0 "here is a 10% chance that an individual sample mean will fall within the interval limits. 0 In repeated sampling, 10% of all intervals constructed in this manner will enclose the population mean. 0 "here is a 90% chance that an individual sample mean will fall within the interval. 0 90% of all values will fall within the interval limits. @ In repeated sampling, 90% of all intervals constructed in this manner will enclose the population mean. q! (c) Find a 90% lower condence bound for the population mean In. {Round your answer to two decimal places.) :I Why is this bound different from the lower condence limit in part (b)? 0 "he lower bounds are based on different values of 2 'his bound is calculated using zdz, while the lower condence limit in part (b) is calculated using 2\". 'his bound is calculated using n, while the lower condence limit in part (b) is calculated using . 'his bound is calculated using 2\