Suppose that Ron recently opened a candy shop selling his newly crafted chocolat

Question

Suppose that Ron recently opened a candy shop selling his newly crafted chocolate candy Ronrons. Due to the surge in popularity of Ronrons, Ron hires several employees to take orders over the phone. Because of the large influx of calls from candy-craving customers, callers are often placed on hold for several minutes. After a few hours, customers begin to complain about the lack of hold music as an indication that they are still on the line with Ron's candy store. Ron wishes to determine if different genres of hold music entice customers to purchase differing amounts of Ronrons. Over the few days, Ron decides to randomly select 10S customers to be placed on hold immediately upon calling. He then randomly selects one of three genres of music- rock, country, or rap to be played to the customer. He then quantity of Ronrons purchased by that customer. The ANOVA table shows the results of Ron's study. The between group, within group, and total degrees of freedom denoted dfi. df2, and drsal. respectively-are all missing from the table. p-value Source of variation Between groups Within groups Total df MS F 0,006 165.031 1547.983 di 1713.014 dlua di 82.516 5.437 15.176 Assume all of the requirements are met for Ron's ANOVA test for the mean dillerence in quantity of Ronrons What are the degrees of freedom for the F-statistic for Ron's ANOVA test?

Explanation / Answer

In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary. The number of independent ways by which a dynamic system can move, without violating any constraint imposed on it, is called number of degrees of freedom.

df1 = SS/MS

df1 = 165.031/82.516

df1 = 2

df2 = 1547.983/15.176

df2 = 102

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