QSR Magazine published the latest results of its annual quick serve resturant drive-thru study. One aspect of the study examined the customer drive-thru wait times for various brands. The drive-thru wait times for random samples of customers at Chick-fil-A, McDonald's, and KFC are given in the table below. Brand Customers drive-thru wait times (in seconds) Chick-fil-A 485 496 489 460 487 477 495 McDonald's 356 362 343 327 369 351 350 KFC 291 269 251 283 286 294 278 (a) Conduct a hypothesis test using a=0.05 to determine whether the mean drive-thru wait times of customers at Chick-fila-A, and KFC are the same. Assume that drive thru wait times for each of these brands reasonably follow a normal distribution. (b) Use the sample data collected in Problem 4 to construct all pairwise comparison confidence intervals to estimate the difference in the mean drive-thru wait times of customers at Chick-fil-A, McDonald's, and KFC with a simultaneous confidence level of 95%. Interpret the results.

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Description: QSR Magazine published the latest results of its annual quick serve resturant drive-thru study. One aspect of the study examined the customer drive-thru wait times for various brands. The drive-thru wait times for random samples of customers at Chick

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4AGP

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QSR Magazine published the latest results of its annual quick serve resturant drive-thru study. One aspect of the study examined the customer drive-thru wait times for various brands. The drive-thru wait times for random samples of customers at Chick-fil-A, McDonald's, and KFC are given in the table below.

Brand Customers drive-thru wait times (in seconds)

Chick-fil-A 485 496 489 460 487 477 495

McDonald's 356 362 343 327 369 351 350

KFC 291 269 251 283 286 294 278

(a) Conduct a hypothesis test using a=0.05 to determine whether the mean drive-thru wait times of customers at Chick-fila-A, and KFC are the same. Assume that drive thru wait times for each of these brands reasonably follow a normal distribution.

(b) Use the sample data collected in Problem 4 to construct all pairwise comparison confidence intervals to estimate the difference in the mean drive-thru wait times of customers at Chick-fil-A, McDonald's, and KFC with a simultaneous confidence level of 95%. Interpret the results.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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