Raina Rivera 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 experienoced businessperson, Raina 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 Raina 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 Salesperson 1 Sample Sample Sample size mean variance 124 200.1 2502.7 Salesperson 2 116 213.1 2496.6 Salesperson 3 Salesperson 4 150 130 214.2 2130.9 214.7 2694.3 Send data to calculator v Send data to Excel Raina'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, Raina 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
Raina Rivera 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 experienoced businessperson, Raina 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 Raina 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 Salesperson 1 Sample Sample Sample size mean variance 124 200.1 2502.7 Salesperson 2 116 213.1 2496.6 Salesperson 3 Salesperson 4 150 130 214.2 2130.9 214.7 2694.3 Send data to calculator v Send data to Excel Raina'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, Raina 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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O ANOVA, CHI-SQUARE AND NONPARAMETRIC TESTS
ANOVA: Degrees of freedom and the Fstatistic
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Raina Rivera 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, Raina 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 Raina 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
Salesperson 2
124
200.1
2502.7
116
213.1
2496.6
Salesperson 3
130
214.2
2130.9
Salesperson 4
150
214.7
2694.3
Send data to calculator v
Send data to Excel
Raina'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, Raina 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 =2.52.
(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
Explanation
Check
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