DATA ANALYTICS FOR DECISION MAKING
ASSIGNMENT 2
MAXIMUM MARKS: 35
ANSWER BOTH THE CASES
Case study:1 20 MARKS
In a study conducted by Zogby International for the Democrat and Chronicle, more than 700 New Yorkers were polled to determine whether the New York state government works. Respondents surveyed were asked questions involving pay cuts for state legislators, restrictions on lobbyists, term limits for legislators, and whether state citizens should be able to put matters directly on the state ballot for a vote. The results regarding several proposed reforms had broad support, crossing all demographic and political lines.
Suppose that a follow-up survey of 100 individuals, who live in the western region of New York was conducted, as well as their responses to the following three questions.
1.
Should legislative pay be cut for every day the state budget is late? Yes…. No……
2.
Should there be more restrictions on lobbyists? Yes……. No……
3.
Should there be term limits requiring that legislators serve a fixed number of years? Yes…… No….
The responses were coded using 1 for a Yes response and 2 for a No response. The complete data set is available in the file named NYReform.
Managerial report:
1.
Use descriptive statistics to summarize the data from this study. What are your preliminary conclusions about the independence of the response (Yes or No) and party affiliation for each of the three questions in the survey?
2.
With regard to question 1, test for the independence of the response (Yes and No) and party affiliation. Use level of significance as 0.05.
3.
With regard to question 2, test for the independence of the response (Yes and No) and party affiliation. Use level of significance as 0.05.
4.
With regard to question 3, test for the independence of the response (Yes and No) and party affiliation. Use level of significance as 0.05.
5.
Does it appear that there is a broad support for change across all political lines? Explain.
Case 2 15 MARKS
Par.Inc., is a major manufacturer of golf equipment. Management believes that Par’s market share could be increased with the introduction of a cut-resistant, longer-lasting golf ball. Therefore, the research group at Par has been investigating a new golf ball coating designed to resist cuts and provide a more durable ball. The tests with the coating have been promising.
One of the researchers voiced concern about the effect of the new coating on driving distances. Par would like the new cut-resistant ball to offer driving distances comparable to those of the current-model golf ball. To compare the driving distances for the two balls, 40 balls of both the new and current models were subjected to distance tests. The testing was performed with a mechanical hitting machine so that any difference between the mean distances for the two models could be attributed to a difference in the two models. The results of the tests, with distances measured to the nearest yard, follow. Using the golf.xls write a managerial report.
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Formulate and present the rationale for a hypothesis test that Par could use to compare the driving distances of the current and new golf balls.
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Analyze the data to provide the hypothesis testing conclusion. What is the p-value for your test? What is your recommendation for Par, Inc?
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Provide descriptive statistical summarizes of the data for each model.
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What is the 95% confidence interval for the population mean driving distances of each model, and what is the 95% confidence interval for the difference between the means of the two populations?
Do you see a need for larger sample sizes and more testing with the golf balls? Discuss