vns and manages a smail business in San Francisco, Calir he business district of the city. hia. The business prOvides breakrast and brunch parked along sidewalkS, to peop. Being an experienced businessperson, Maria provides incentives for the four salespeople operating the food carts. This year, she plans to offer monetary bonuses to her salespeople based on their individual mean daily sales. Below is a chart giving a summary of the information that Maria has to work with. (In the chart, a "sample" is a collection of daily sales figures, in dollars, from this past year for a particular salesperson.) Groups Sample Sample Sample size mean variance Salesperson 1 108 209.6 2334.6 Salesperson 2 62 206.2 2597.4 Salesperson 3 116 220.0 1913.2 Salesperson 4 120 225.4 2540.4 Send data to calculator Send data to Excel Maria's first step is to decide if there are any significant differences in the mean daily sales of her salespeople. (If there are no significant differences, she'll split the bonus equally among the four of them.) To make this decision, Maria will do a one-way, independent-samples ANOVA test of equality of the population means, which uses the following statistic. Variation between the samples F = Variation within the samples For these samples, F = 3.38. (a) Give the p-value corresponding to this value of the F statistic. Round your answer to at least three decimal places. |(b) Can we conclude, using the 0.05 level of significance, that at least one of the salespeople's mean daily sales is significantly different from that O Yes O No
vns and manages a smail business in San Francisco, Calir he business district of the city. hia. The business prOvides breakrast and brunch parked along sidewalkS, to peop. Being an experienced businessperson, Maria provides incentives for the four salespeople operating the food carts. This year, she plans to offer monetary bonuses to her salespeople based on their individual mean daily sales. Below is a chart giving a summary of the information that Maria has to work with. (In the chart, a "sample" is a collection of daily sales figures, in dollars, from this past year for a particular salesperson.) Groups Sample Sample Sample size mean variance Salesperson 1 108 209.6 2334.6 Salesperson 2 62 206.2 2597.4 Salesperson 3 116 220.0 1913.2 Salesperson 4 120 225.4 2540.4 Send data to calculator Send data to Excel Maria's first step is to decide if there are any significant differences in the mean daily sales of her salespeople. (If there are no significant differences, she'll split the bonus equally among the four of them.) To make this decision, Maria will do a one-way, independent-samples ANOVA test of equality of the population means, which uses the following statistic. Variation between the samples F = Variation within the samples For these samples, F = 3.38. (a) Give the p-value corresponding to this value of the F statistic. Round your answer to at least three decimal places. |(b) Can we conclude, using the 0.05 level of significance, that at least one of the salespeople's mean daily sales is significantly different from that O Yes O No
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
100%
Transcribed Image Text:Maria D
to peop.
vns and manages a small business in San Francisco, California. The business provides breakfast and brunch food, via carts parked along sidewalks,
he business district of the city.
Being an experienced businessperson, Maria provides incentives for the four salespeople operating the food carts. This year, she plans to offer monetary bonuses
to her salespeople based on their individual mean daily sales. Below is a chart giving a summary of the information that Maria has to work with. (In the chart, a
"sample" is a collection of daily sales figures, in dollars, from this past year for a particular salesperson.)
Sample Sample Sample
size
Groups
mean
variance
Salesperson 1
108
209.6
2334.6
Salesperson 2
62
206.2
2597.4
Salesperson 3
116
220.0
1913.2
Salesperson 4
120
225.4
2540.4
Send data to calculator
Send data to Excel
Maria's first step is to decide if there are any significant differences in the mean daily sales of her salespeople. (If there are no significant differences, she'll split
the bonus equally among the four of them.) To make this decision, Maria will do a one-way, independent-samples ANOVA test of equality of the population
means, which uses the following statistic.
Variation between the samples
F =
Variation within the samples
For these samples, F = 3.38.
(a) Give the p-value corresponding to this value of the
F statistic. Round your answer to at least three
decimal places.
(b) Can we conclude, using the 0.05 level of
significance, that at least one of the salespeople's
mean daily sales is significantly different from that
of the others?
O Yes
O No
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman