An airline has a toll-free telephone number for reservations. Often the call volume is heavy, and callers are placed on hold until a reservation agent is free to answer. The airline hopes a caller remains on hold until the call is answered, so as not to lose a potential customer. The airline recently conducted a randomized experiment to analyze whether callers would remain on hold longer, on average, if they heard (a) an advertisement about the airline and its current promotions, (b) Muzak, or (c) classical music (Vivaldi's Four Seasons). The company randomly selected one out of every 1000 calls in a particular week. For each call, they randomly selected one of the three recordings to play and then measured the number of minutes that the caller remained on hold before hanging up (these calls were purposely not answered). The sample means were 5.4,2.8, and 10.4, with n1 = n2 = n3 = 5. The ANOVA test had F = 74.6/11.6 = 6.4 and a P-value of 0.013. a) A 95% confidence interval comparing the population mean times that callers are willing to remain on hold for classical music and Muzak is (2.9, 12.3). Interpret this interval. b) The-margin-of error-was 4.7-for-this-comparison. Withont-doing a enleulation, explain-why the-margin of error is 4.7 for eomparing each pair of means: c) The 95% confidence intervals are (0.3,9.7) for µ3 – H1 and (–2.1,7.3) for µ1 – #2. Interpret these two confidence intervals. Using these two intervals and the interval from part a, summarize what the airline company learned from this study. d) The confidence intervals are wide. In the design of this experiment, what could you change to estimate the differences in means more precisely?
An airline has a toll-free telephone number for reservations. Often the call volume is heavy, and callers are placed on hold until a reservation agent is free to answer. The airline hopes a caller remains on hold until the call is answered, so as not to lose a potential customer. The airline recently conducted a randomized experiment to analyze whether callers would remain on hold longer, on average, if they heard (a) an advertisement about the airline and its current promotions, (b) Muzak, or (c) classical music (Vivaldi's Four Seasons). The company randomly selected one out of every 1000 calls in a particular week. For each call, they randomly selected one of the three recordings to play and then measured the number of minutes that the caller remained on hold before hanging up (these calls were purposely not answered). The sample means were 5.4,2.8, and 10.4, with n1 = n2 = n3 = 5. The ANOVA test had F = 74.6/11.6 = 6.4 and a P-value of 0.013. a) A 95% confidence interval comparing the population mean times that callers are willing to remain on hold for classical music and Muzak is (2.9, 12.3). Interpret this interval. b) The-margin-of error-was 4.7-for-this-comparison. Withont-doing a enleulation, explain-why the-margin of error is 4.7 for eomparing each pair of means: c) The 95% confidence intervals are (0.3,9.7) for µ3 – H1 and (–2.1,7.3) for µ1 – #2. Interpret these two confidence intervals. Using these two intervals and the interval from part a, summarize what the airline company learned from this study. d) The confidence intervals are wide. In the design of this experiment, what could you change to estimate the differences in means more precisely?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An airline has a toll-free telephone number for reservations. Often the call volume is heavy, and callers are
placed on hold until a reservation agent is free to answer. The airline hopes a caller remains on hold until
the call is answered, so as not to lose a potential customer.
The airline recently conducted a randomized experiment to analyze whether callers would remain on hold
longer, on average, if they heard (a) an advertisement about the airline and its current promotions, (b)
Muzak, or (c) classical music (Vivaldi's Four Seasons). The company randomly selected one out of every
1000 calls in a particular week. For each call, they randomly selected one of the three recordings to play and
then measured the number of minutes that the caller remained on hold before hanging up (these calls were
purposely not answered). The sample means were 5.4,2.8, and 10.4, with n1 = n2 = n3 = 5. The ANOVA
test had F = 74.6/11.6 = 6.4 and a P-value of 0.013.
a) A 95% confidence interval comparing the population mean times that callers are willing to remain on
hold for classical music and Muzak is (2.9, 12.3). Interpret this interval.
b) The-margin-of error-was 4.7-for-this-comparison. Withont-doing a enleulation, explain-why the-margin
of error is 4.7 for eomparing each pair of means:
c) The 95% confidence intervals are (0.3,9.7) for µ3 – H1 and (–2.1,7.3) for µ1 – #2. Interpret these two
confidence intervals. Using these two intervals and the interval from part a, summarize what the airline
company learned from this study.
d) The confidence intervals are wide. In the design of this experiment, what could you change to estimate
the differences in means more precisely?
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