In a local community there are three grocery chain stores.The three have been carrying out a spirited advertising campaign in which each claims to have the lowest prices.A local news station recently sent a reporter to the three stores to check prices on several items.She found that for certain items each store had the lowest price.This survey didn't really answer the question for consumers.Thus,the station set up a test in which 20 shoppers were given different lists of grocery items and were sent to each of the three chain stores.The sales receipts from each of the three stores are recorded in the data file Groceries. Based on these sample data,can you conclude the three grocery stores have different sample means? Test using a significance level of 0.05.Use a p-value approach.
A) Since the p-value of 2.68E - 10 < 0.05 reject H0 and conclude that at least two means are different.
B) Since the p-value of 2.68E-10 < 0.05 do not reject H0 and conclude that means are all the same.
C) Since the p-value of 0.027 < 0.05 reject H0 and conclude that at least two means are different.
D) Since the p-value of 0.027 < 0.05 do not reject H0 and conclude that means are all the same.
Correct Answer:
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