A major KSA Oil company has developed two blends of gasoline. Managers are interested in determining whether a difference in mean gasoline mileage will be obtained from using the two blends. As part of their study, they have decided to run a test using the Chevrolet Impala automobile with automatic transmissions. They selected a random sample of 100 Impalas using Blend 1 and another 100 Impalas using Blend 2. Each car was first emptied of all the gasoline in its tank and then filled with the designated blend of the new gasoline. The car was then driven 200 miles on a specified route involving both city and highway roads. The cars were then filled and the actual miles per gallon were recorded. The following summary data were recorded: Blend 1 ni = 100 $₁ = 4.0 mpg x = 23.4 mpg Blend 2 n₂ = 100 S₂ = 4.2 mpg x₂ =25.5 mpg Based on the sample data, using a 0.05 level of significance, what conclusion should the company reach about whether the population mean mpg is the same or different for the two blends?

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Many institutes, departments, and recruitment committees are using citations as part of the assessment process involved in making new appointments. By going through scientific databases like Scopusselection panels can check if a candidate’s work is making an impact by being cited by other researchers in their field. How does the scientific community measure how "good" or "great" a journal or an author is? How do you determine the "impact" of an author's work? The most 2common metric to track an author's impact is ask how often they are cited. The following table presents the number of citation on research publications of two Management Science professors over a period of 17years, 2005 to 2021, data taken from Google Scholar. The objective of this assignment is to find a suitable forecasting method (moving average, exponential smoothing, and/or simple linear regression model) to predict near future citation of a researcher.  (a) For each professor, develop a scatter diagram on his…

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