Yolanda'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, Yolanda 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 =3.29. (a) Give the numerator degrees of freedom of this F statistic. (b) Give the denominator degrees of freedom of this F statistic. (c) Can we conclude, using the 0.10 level of significance, that at least one of the salespeople's mean daily sales is significantly different from that of the others? Yes O No

MATLAB: An Introduction with Applications
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Yolanda Gonzales 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, Yolanda 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 Yolanda 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
116
204.2
2252.4
Salesperson 2
86
221.6
2572.6
Salesperson 3
63
198.7
2231.6
Salesperson 4
95
210.4
2346.7
Send data to calculator
Send data to Excel
Transcribed Image Text:Yolanda Gonzales 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, Yolanda 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 Yolanda 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 1 116 204.2 2252.4 Salesperson 2 86 221.6 2572.6 Salesperson 3 63 198.7 2231.6 Salesperson 4 95 210.4 2346.7 Send data to calculator Send data to Excel
Yolanda'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, Yolanda 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 3.29.
(a) Give the numerator degrees of freedom of this F
statistic.
(b) Give the denominator degrees of freedom of this F
statistic.
(c) Can we conclude, using the 0.10 level of
significance, that at least one of the salespeople's
mean daily sales is significantly different from that
of the others?
Yes
No
Transcribed Image Text:Yolanda'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, Yolanda 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 3.29. (a) Give the numerator degrees of freedom of this F statistic. (b) Give the denominator degrees of freedom of this F statistic. (c) Can we conclude, using the 0.10 level of significance, that at least one of the salespeople's mean daily sales is significantly different from that of the others? Yes No
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