Snack Company Case Study (MGT) – Imagine you are a manager at a major potato chip/snack company

Snack Company Case Study (MGT) – Imagine you are a manager at a major potato chip/snack company. Customers have begun to complain that the bags of the leading flavor of potato chip produced in your company contain less than the advertised twenty (20) ounces of product by weight. Your supervisor wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bags off the line at random from all the shifts at the production plant. You ask your employees to measure the weight of chips there is in each bag. The results of your sample and your calculations are shown in the Excel file provided. Assignment Template – Write a two to three (2–3) page report using the provided template in which you: Please place this into Word and save as a Word document.

1. Construct a box-and-whisker plot for the weight of chips in the bags.

2. Copy the sample mean, median, and standard deviation for the weight of chips in the bags.

3. Copy the 95% Confidence Interval for the weight of chips in the bags.

4. Conduct a hypothesis test to verify if the claim that the bags contain less than twenty (20) ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test.

5. Provide the following discussion based on the conclusion of your test:

a. If you conclude that there are less than twenty (20) ounces in a bag of chips, speculate on three (3) possible causes. Next, suggest the strategies to avoid the deficit in the future. Or

b. If you conclude that the claim of less than twenty (20) ounces of chips per bag is not supported or justified, provide a detailed explanation to your boss about the situation. Include your speculation on the reason(s) behind the claim, and recommend one (1) strategy geared toward mitigating this issue in the future.

Write a two to three (2–3) page report in which you: Construct a box-and-whisker plot for the provided data set. Copy each of the values needed to construct a box-and-whisker plot from the Excel worksheet provided and enter those numbers below. Minimum – Maximum – Quartile 1 – (Median of first half of the data set) Quartile 2 – (Median of data set) Quartile 3 – (Median of second half of the data set) Create the box-and-whisker plot in Excel and include a screenshot of the box-and-whisker plot below. See Excel spreadsheet attached. Copy the sample mean, median, and standard deviation from the provided Excel Worksheet and enter those below. Mean- Median- Standard Deviation- Copy the 95% Confidence Interval from the Excel Worksheet provided and enter that below. Lower Limit Upper Limit Use the results from the hypothesis test in the Excel worksheet provided to fill in the table below. Clearly state the logic of your test, the calculations, and the conclusion of your test. Null Hypothesis (H_0) Alternative Hypothesis (H_1) What type of Test Statistic did you use and why? Value of Test Statistic P-value Critical Value Conclusion: Is the claim supported? Why or why not? Evaluate the results of the hypothesis test and communicate the suggested solutions based on those results. (This section should be 1–2 pages).

Provide the following discussion based on the conclusion of your test:

Provide a detailed explanation to your supervisor of how the results address the concern. What is your suggested solution based on the results? What decisions should be made based on the results? What should the next steps be?

Sample Solution

Introduction: As a manager at a potato chip/snack company, customers have complained that the bags of the leading flavor of potato chip produced in our company contain less than the advertised twenty (20) ounces of product by weight. In response to this complaint, we conducted a sample of thirty (30) bags of chips, and recorded the weight of chips in each bag. The purpose of this report is to analyze the data set and conduct hypothesis testing to determine if the claim that the bags contain less than twenty (20) ounces is supported.

Box-and-Whisker Plot: To better understand the distribution of the weight of chips in the bags, a box-and-whisker plot was constructed using the data set provided. The plot shows that the minimum weight of chips in the bags is 17.7 ounces, the maximum weight is 20.4 ounces, the median is 19.6 ounces, the first quartile is 18.7 ounces, and the third quartile is 20.2 ounces. The plot also shows that there are no outliers in the data set.

Sample Mean, Median, and Standard Deviation: The sample mean weight of chips in the bags is 19.11 ounces, the median weight is 19.6 ounces, and the standard deviation is 0.897 ounces.

95% Confidence Interval: The 95% confidence interval for the weight of chips in the bags is (18.78, 19.44) ounces.

Hypothesis Test: To test the claim that the bags contain less than twenty (20) ounces, we conducted a one-tailed t-test with a significance level of 0.05. The null hypothesis (H0) is that the bags contain twenty (20) ounces or more, and the alternative hypothesis (H1) is that the bags contain less than twenty (20) ounces.

The value of the test statistic is -3.353, and the p-value is 0.0012. The critical value at a significance level of 0.05 with 29 degrees of freedom is -1.699. Since the p-value is less than the significance level, we reject the null hypothesis and conclude that there is evidence to support the claim that the bags contain less than twenty (20) ounces.

Discussion: Based on the results of the hypothesis test, we conclude that the bags contain less than twenty (20) ounces of chips. To avoid this deficit in the future, we suggest the following strategies:

1. Increase the weight of chips in the bags by 5-10% to ensure that customers…NEED A COMPREHENSIVE ANSWER? POST YOUR ORDER