Suppose Consumer Reports would like to conduct a study comparing the prices of televisions made by different ­manufacturers. The following data show the prices of a random sample of televisions for various screen sizes. These data can also be found in the Excel file Consumer Reports.xlsx.

a. Using a one way ANOVA and α = 0.05, test to see if a difference exists in the average prices of the brands.
b. Using a randomized block ANOVA and α = 0.05, test to see if a difference exists in the average prices of the brands.
c. If warranted, determine which pairs of television brands are different using α = 0.05.
d. Verify your results with Excel. 

e. Explain the differences in the results from parts a and b.

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Size LG ($) Panasonic (S) Samsung (S) Insignia (S) 32" 450 37" 700 000 42" 1,000 46" 1,300 50 ,600 1,400 55 900 ,500 450 600 1,000 600 1,300 1,300 2,200 450 600 500 900 700 1,100 750 700 1.400