KINDLY HIGHLIGHT ANSWERS

PART A

Suppose the mean length of songs played on a radio station is 200 seconds with a standard deviation of 22 seconds. I& USE SALT (a) Calculate the z-score of a song that lasts 235 seconds. (Round your answer to two decimal places.) |:| (b) Interpret the z-score of the song that lasts 235 seconds. [Let I = Iz-scorel from part {a}.) O The song's length is 2 standard deviations above the median. O The song's length is: seconds longer than the mean. 0 The song's length isz standard deviations above the mean. C) The song's length isz seconds longer than the median. Many employers are concerned about employees wasting time by surng the Internet and e-mailing friends during work hours. The article "who Goofs Off 2 Hours a Day? Most Workers, Survey Says" summarized data from a large sample of workers.1' Suppose that the CEO of a large company wants to determine whether the mean wasted time during an 3-hour workday for employees of her company is less than the mean of 120 minutes reported in the article. Each person in a random sample of 10 employees is asked about daily wasted time at work (in minutes). Participants would be guaranteed anonymity to obtain truthful responses. Suppose the resulting data are as follows. 110,135, 132, 115, 95, 103, 130, 117, 113, 106 (2) Calculate the point estimate (in minutes) for the population mean. |:|min {b} Assume that the population standard deviation is known to be a" : 54.8 minutes. We would like to estimate the population mean with 95% condence. Calculate the margin of error (in minutes} of the point estimate. (Use a table or technology. Round your answer to three decimal places.) I:| min (c) Find a 95% condence interval. (Round your answers to three decimal places.) (:.:)mm The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 4 minutes and a standard deviation of 3 minutes. Find the probability that it takes at least 7 minutes to find a parking space. (Round your answer to four decimal places.)Fillin the blanks. (Enter an exact positive number as an integer, fraction, or decimal.) In a normal distribution, x = 8 and z = -1.27. This tells you that x = 8 is standard deviations to the ---Select--- v of the mean