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The manager of the Cottonwood Grille recently selected a random sample of 18 customers and kept track of how long the customers were required to wait from the time they arrived at the restaurant until they were actually served dinner. This study resulted from several complaints the manager had received from customers saying that their wait time was unduly long and that it appeared that the objective was to keep people waiting in the lounge for as long as possible to increase the lounge business. The following data were recorded, with time measured in minutes:

The manager of the Cottonwood Grille recently selected a random sample of 18 customers and kept track of how long the customers were required to wait from the time they arrived at the restaurant until they were actually served dinner. This study resulted from several complaints the manager had received from customers saying that their wait time was unduly long and that it appeared that the objective was to keep people waiting in the lounge for as long as possible to increase the lounge business. The following data were recorded, with time measured in minutes:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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12. The manager of the Cottonwood Grille recently selected a random sample of 18 customers and kept track of how long the customers were required to wait from the time they arrived at the restaurant until they were actually served dinner. This study resulted from several complaints the manager had received from customers saying that their wait time was unduly long and that it appeared that the objective was to keep people waiting in the lounge for as long as possible to increase the lounge business. The following data were recorded, with time measured in minutes: 34 24 43 56 74 20 18 33 55 43 45 34 27 34 36 24 54 39 (A) Compute the mean, median, mode, range, lower quartile, upper quartile, variance and standard deviation. (B) Construct a box and whisker plot. Indicate if there is any outlier. (C) Using part (B), indicate whether the data are skewed or symmetrical. (D) The is considering giving a complementary drink to customers whose waiting time is longer than the third quartile. Determine the minimum number of minutes a customer would have to wait in order to receive a complementary drink. (E) Find the z-score of the time 40 minutes
Transcribed Image Text:12. The manager of the Cottonwood Grille recently selected a random sample of 18 customers and kept track of how long the customers were required to wait from the time they arrived at the restaurant until they were actually served dinner. This study resulted from several complaints the manager had received from customers saying that their wait time was unduly long and that it appeared that the objective was to keep people waiting in the lounge for as long as possible to increase the lounge business. The following data were recorded, with time measured in minutes: 34 24 43 56 74 20 18 33 55 43 45 34 27 34 36 24 54 39 (A) Compute the mean, median, mode, range, lower quartile, upper quartile, variance and standard deviation. (B) Construct a box and whisker plot. Indicate if there is any outlier. (C) Using part (B), indicate whether the data are skewed or symmetrical. (D) The is considering giving a complementary drink to customers whose waiting time is longer than the third quartile. Determine the minimum number of minutes a customer would have to wait in order to receive a complementary drink. (E) Find the z-score of the time 40 minutes
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