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ANOVA Problem: QSR magazine reports on the largest fast food restaurants in the United States. Do the various market segments (burger, chicken, sandwich, and pizza)

ANOVA Problem:

QSR magazine reports on the largest fast food restaurants in the United States. Do the various market segments (burger, chicken, sandwich, and pizza) differ in their mean sales per unit? The table below contains the mean sales in a recent year.

Please provide the values into an Excel spreadsheet to use Excel/StatCrunch to fill in the table, or calculate by hand. Then, provide the mean, variance, and standard deviation values using the "descriptive stats feature" in Excel or StatCrunch, or by calculating it by hand.

Burger Chicken Sandwich Pizza
2500.0 3200.0 491.0 883.0
1200.0 926.0 2387.5 710.5
1300.0 1140.0 999.9 830.0
1102.0 1615.4 860.8 465.0
875.3 1385.0 340.0 575.9
1462.7 1234.0 2333.4 920.0
1100.5 1532.0 2574.9 875.6
Mean
Variance
Standard Deviation

  1. At the 0.05 level of significance, is there evidence of a difference in the mean U.S. mean sales per unit ($ thousands) among the food segments? To find out, plug in the missing values for the ANOVA table using either Excel or Statcrunch.

ANOVA Table

Source of Variation Sum of Squares

Degrees of Freedom

(C-1); (N-C)

Mean Square F P-Value

F Critical value

(F table)

Treatments
Error
Total

  1. At the alpha .05 level, test whether the means for the four food segments are equal or not equal using the F critical value or p-value approach. Would you accept or reject the null? Explain what this means.

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