MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Teresa Torres owns and manages a small business in San Francisco, California. The business provides breakfast and brunch food, via carts parked along
sidewalks, to people in the business district of the city.
Being an experienced businessperson, Teresa 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 Teresa has to work with. (A "sample" is a collection of daily sales figures, in dollars, from this past
year for a particular salesperson.)
Sample Sample Sample
size
Groups
variance
mean
Salesperson 1
107
205.4
2350.4
Salesperson 2
106
213.2
2901.5
Salesperson 3
99
226.2
2361.7
Salesperson 4
116
224.5
2343.5
Send data to Excel
Teresa performs a one-way, independent-samples ANOVA test to determine whether or not there is a significant difference in the performances of the different
salespeople.
(a) This ANOVA is summarized in the incomplete ANOVA table below. Complete the ANOVA table. (In the table, round your answers for the mean squares to at
least one decimal place each, and round your answer for the F statistic to at least two decimal places.)
Source of Degrees of
freedom
Sum of
Mean square F statistic
variation
squares
Treatments
(between
30,789.21
groups)
Error
(within
groups)
1,054,749
Total
1,085,538.21
(b) Using the 0.10 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places.
(c) Can we conclude, using the 0.10 level of significance, that at least one salesperson's mean daily sales is significantly different from that of the others?
Yes
O No
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Transcribed Image Text:Teresa Torres owns and manages a small business in San Francisco, California. The business provides breakfast and brunch food, via carts parked along sidewalks, to people in the business district of the city. Being an experienced businessperson, Teresa 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 Teresa has to work with. (A "sample" is a collection of daily sales figures, in dollars, from this past year for a particular salesperson.) Sample Sample Sample size Groups variance mean Salesperson 1 107 205.4 2350.4 Salesperson 2 106 213.2 2901.5 Salesperson 3 99 226.2 2361.7 Salesperson 4 116 224.5 2343.5 Send data to Excel Teresa performs a one-way, independent-samples ANOVA test to determine whether or not there is a significant difference in the performances of the different salespeople. (a) This ANOVA is summarized in the incomplete ANOVA table below. Complete the ANOVA table. (In the table, round your answers for the mean squares to at least one decimal place each, and round your answer for the F statistic to at least two decimal places.) Source of Degrees of freedom Sum of Mean square F statistic variation squares Treatments (between 30,789.21 groups) Error (within groups) 1,054,749 Total 1,085,538.21 (b) Using the 0.10 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. (c) Can we conclude, using the 0.10 level of significance, that at least one salesperson's mean daily sales is significantly different from that of the others? Yes O No
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