Purchase Solution

Degrees of Freedom for F Statistic

Not what you're looking for?

Ask Custom Question

Please help with the areas in red, thanks!
Please see attached file for full problem description.

#2) 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.)

Group: Sample size: Sample mean: Sample variance:
Salesperson 1 63 198.2 2476.8
Salesperson 2 90 218.4 2463.0
Salesperson 3 57 223.3 2672.2
Salesperson 4 78 208.4 2184.3

Cris' 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, Cris will do a one-way, independent-samples ANOVA test of equality of the population means, which uses the statistic:

Variation between the samples .

Variation within the samples

For these samples, .

Give the numerator degrees of freedom for this F statistic.
Give the denominator degrees of freedom for this F statistic.
Can we conclude using the 0.05 level of significance that at least one of the sales people's mean daily sales is significantly different from that of the others?

Purchase this Solution

Solution Summary

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.

Purchase this Solution


Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.