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Statistical Analysis of Data Using SPSS
Copy and paste your SPSS output below your answer to each question.
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Statistical Analysis of Data Using SPSS
1. The file MPG data.sav contains data on Miles Per Gallon measurements for 79 Japanese cars and 249 US cars. Conduct a statistical test to determine if the mean MPG is different for the two sets of cars.
- Do you reject the null hypothesis?
- What do you conclude from the answer to (1) above?
2. The file Station wagon data.sav file contains automobile purchase data for 343 families including the family size (Large or Small), income (High or Low), and whether the family bought a station wagon Yes or No). Use this file to answer the following questions, using the appropriate statistical test to test the relationships in (a) and (b).
- Is income related to station wagon purchases, and if so, what do you conclude about the relationship?
- Is family size related to station wagon purchases, and if so, what do you conclude about the relationship?
3. The file Student Grades Data.sav shows the grades obtained by students before and after watching a training video. Conduct the appropriate test at a .05 significance level to determine whether the training was effective.
- Do you reject the null hypothesis?
- Did student grades improve, stay the same, or decline after the training?
Statistical Analysis of Data Using SPSS
To address the questions, appropriate statistical tests were conducted using SPSS. For the first dataset, an Independent Samples t-test determined if the mean MPG differed significantly between Japanese and US cars, rejecting the null hypothesis if pp-value < 0.05. In the second dataset, Chi-Square tests evaluated relationships between income, family size, and station wagon purchases, with significance judged similarly. Lastly, a Paired Samples t-test assessed changes in student grades before and after watching a training video to test its effectiveness. Results were interpreted based on pp-values, with conclusions about differences, relationships, or improvements guided by statistical evidence.