California The business provides breakfast and brunch food

Last updated: 6/5/2023

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 Debra 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 Debra 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 mean variance size Salesperson 1 105 213 7 2741 0 Salesperson 2 58 188 5 2745 8 Salesperson 3 110 215 2 2100 3 Salesperson 4 61 207 1 2822 8 Send data to calculator Groups Send data to Excel Debra 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 Debra will do a one way independent samples ANOVA test of equality of the population means which uses the following statistic Variation between the samples Variation within the samples For these samples F 4 34 F a Give the p value corresponding to this value of the F statistic Round your answer to at least three decimal places 10 b Can we conclude using the 0 01 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