### STAT6160 Data Analytics for Business Intelligence

**Assignment Detail:- ** STAT6160 Data Analytics for Business Intelligence - The University of Newcastle
Question 1A company producing snack foods uses an automated system to package 200g packets of chips- Management must ensure that the system -machine- is working properly; consistently underweight packets will result in consumer dissatisfaction, whilst consistently overweight packets result in additional costs being absorbed by the company- One of the specification requirements for the machine to be deemed to be working correctly is that the mean weight of the packets of chips is 200g- The quality assurance department obtained a random sample of 80 packets of chips and measured the content -in grams- of each packet in order to test the mean weight- The data is contained in file "Question1-csv"--i- Construct the 95% confidence interval for the population mean weight of the packets of chips--ii- What assumptions need to be met for this interval to be valid????-iii- Interpret the 95% confidence interval in words--iv- Explain, using support from the 95% confidence interval, what you would conclude about whether the company's system is meeting the specification requirement that the mean weight of the packets of chips is 200g-
Question 2Two software auditing systems -System A and System B- were assessed for their ease of use by comparing the times taken by people -auditors- to complete a series of tasks using each system- A random sample of 100 auditors was selected and each auditor was assigned to a different randomly selected task- Each auditor used both systems A and B to complete his/her designated task- The two times were recorded -in minutes- for each auditor- The data is contained in file "Question2-csv"-Implement the following six steps to test whether there is a difference, at a 5% significance level, between the ease of use of the two systems based upon the mean times to complete the tasks--i- Define the parameters and state the null and alternative hypothesis--ii- Check the assumptions for this hypothesis test--iii- Find the test statistic--iv- State the null distribution--v- Calculate the p-value--vi- Write the conclusion in plain language-
Question 3In a study of multifunction inkjet printers, a random sample of 30 all-in-one printers were selected from a supplier and their printing rates -in pages per minute- and retail prices -in dollars- were recorded- The data is contained in file "Question3-csv": Columns A and B are the printing rates and the printer prices, respectively-
-i- Does the scatterplot suggest a linear relationship between printing price and printer rate????-ii- Fit a simple linear regression model with printer price as the response variable and printing rate as the predictor variable- Write down the regression equation and interpret the numbers in the equation--iii- Use the fitted regression equation to estimate the price of a printer with a printing rate of 2 pages per minute--iv- Is there sufficient evidence that there is a relationship between printer price and printing rate???? Be sure to state the null and alternative hypotheses, the p-value and an appropriate conclusion--v- What percentage of the variation in the printer price is explained by the regression on the printing rate???? Give numerical evidence to support your answer-
Attachment:- Data Analytics-rar

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