Q2CQQ Cola Weights For the four sample... [FREE SOLUTION]

Chapter 12: Q2CQQ (page 566)

Cola Weights For the four samples described in Exercise 1, the sample of regular Coke has a mean weight of 0.81682 lb, the sample of Diet Coke has a mean weight of 0.78479 lb, the sample of regular Pepsi has a mean weight of 0.82410 lb, and the sample of Diet Pepsi has a mean weight of 0.78386 lb. If we use analysis of variance and reach a conclusion to reject equality of the four sample means, can we then conclude that any of the specific samples have means that are significantly different from the others?

Short Answer

Expert verified

No, it cannot be inferred from the analysis of variance test that which of the specific samples have a statistically significant difference in their sample means.

Step by step solution

Given information

Refer to the results in Exercise 1 for establishing the difference between the four sample means. The different sample mean weights are provided for four different samples of cola content. The sample of regular Coke has a mean weight of 0.81682 lb.

The sample of diet Coke has a mean weight of 0.78479 lb.

The sample of regular Pepsi has a mean weight of 0.82410 lb.

The sample of diet Pepsi has a mean weight of 0.78386 lb.

Difference in the specific sample means

The analysis of variance tests if there is a difference between the mean of different groups.

Under the analysis of variance test, if there is a significant difference in the sample means due to a factor, it cannot be used to infer which of the samples have a statistically significant difference in their means.

An additional test, such as 鈥楾ukey鈥檚 pairwise comparison test鈥�, is conducted to determine which of the specific samples have a significant difference in their means.

Then,by observing the sample means, it can be guessed that there appears to be a difference in the mean weights of the regular samples and diet samples, but this cannot be determined statistically using the ANOVA table.