Question

Wilcoxon Rank Test (Weights Data) In an effort to educate communities about healthy eating, researchers aim to determine the accuracy of weights recorded on packaged snack food items such as popcorn, cookies, cakes, muffins, and pretzels. These items are taken out of their packaging and weighed using a high precision scale. The recorded package weights and the obtained (actual) weights in ounces are provided in the Weights dataset. The researchers want to investigate whether there is a difference in weight between the two groups, with an alpha level of 0.05. For the purpose of this exercise, it is assumed that at least one of the assumptions underlying the paired samples t-test is not met (i.e., either the variables are not normally distributed or they do not have equal variances). The research questions, null and alternative hypotheses, and the use of the Wilcoxon Signed Ranks test to accept or reject the null hypothesis are required. Additionally, the Ranks table needs to be interpreted, and the results should be reported. Research Question: - Are there differences in weight between the recorded weights and the actual weights of packaged snack food items? Research Hypotheses: - Null Hypothesis (H0): There is no difference in weight between the recorded weights and the actual weights of packaged snack food items. - Alternative Hypothesis (Ha): There is a difference in weight between the recorded weights and the actual weights of packaged snack food items. N Mean Rank Sum of Ranks Recorded weights - Actual weights Negative Ranks 17a 9.97 169.50 Positive Ranks 1b 1.50 1.50 Ties 2c Total 20 a. Recorded weights < Actual weights b. Recorded weights > Actual weights c. Recorded weights = Actual weights Test Statistics Recorded weights - Actual weights Z -3.672b Asymp. Sig. (2-tailed) .000 a. Wilcoxon Signed Ranks Test

Wilcoxon Rank Test (Weights Data)

In an effort to educate communities about healthy eating, researchers aim to determine the accuracy of weights recorded on packaged snack food items such as popcorn, cookies, cakes, muffins, and pretzels. These items are taken out of their packaging and weighed using a high precision scale. The recorded package weights and the obtained (actual) weights in ounces are provided in the Weights dataset. The researchers want to investigate whether there is a difference in weight between the two groups, with an alpha level of 0.05. For the purpose of this exercise, it is assumed that at least one of the assumptions underlying the paired samples t-test is not met (i.e., either the variables are not normally distributed or they do not have equal variances).

The research questions, null and alternative hypotheses, and the use of the Wilcoxon Signed Ranks test to accept or reject the null hypothesis are required. Additionally, the Ranks table needs to be interpreted, and the results should be reported.

Research Question:
- Are there differences in weight between the recorded weights and the actual weights of packaged snack food items?

Research Hypotheses:
- Null Hypothesis (H0): There is no difference in weight between the recorded weights and the actual weights of packaged snack food items.
- Alternative Hypothesis (Ha): There is a difference in weight between the recorded weights and the actual weights of packaged snack food items.

N
Mean Rank
Sum of Ranks
Recorded weights - Actual weights
Negative Ranks
17a
9.97
169.50
Positive Ranks
1b
1.50
1.50
Ties
2c
Total
20

a. Recorded weights < Actual weights
b. Recorded weights > Actual weights
c. Recorded weights = Actual weights

Test Statistics
Recorded weights - Actual weights
Z
-3.672b
Asymp. Sig. (2-tailed)
.000

a. Wilcoxon Signed Ranks Test

Added by Corey L.