The manager of a large company is interested in the commute…

The manager of a large company is interested in the commute times of her employees. She randomly selects 40 employees and finds an average commute time of 27 minutes, with a standard deviation of 4 minutes. (When needed, round to 3 decimals.)   a. What is the point estimate of the population mean commute time? [a] b. Construct a 95% confidence interval for the population mean commute time for this company’s employees (input your interval as “(a, b)”, where a is the lower limit and b is the upper limit of the interval) [b] c. Interpret the interval from part a (write out a sentence and be specific): We are 95% confident that [c]

The weight of mechanically produced items at a manufacturing…

The weight of mechanically produced items at a manufacturing facility are normally distributed, with a mean of 1152 pounds and a standard deviation of 23 pounds. (Round z-scores to 2 decimal places and all else to 3 decimal places.)   a. What is the Z-score for an item weighing 1146 pounds? [a] b. Find the probability that a randomly selected item weighs less than 1146 pounds. [b] c. Find the weight that represents the 57th percentile. [c] d. Find the probability that a randomly selected item weights between 1100 pounds and 1146 pounds. [d]