Explore BrainMass
Share

# F statistic

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

Cris Turlock 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, Cris 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 Cris 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 Size Sample Mean Sample Variance

Sales person 1 56 208.8 2578.0
Sales person 2 65 191.0 2232.0
Sales person 3 144 213.4 2245.3
Sales person 4 147 201.2 2498.8

For these samples F= 3.71

Give the p- value corresponding to this value of the F statistic. Round answer to at least 3 decimal places.

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?