Question: A study was conducted to compare car buying habits.  Participants were asked for their gender and the amount they would be willing to spend on a car.  Participants were also asked if they would be the decision maker in a car purchase.   The age of the participant was recorded as well.   Data was collected from 40 participants.

1. Find the mean, median and mode for the amount participants were willing to pay for a car as a whole, then for males and females separately, then for decision makers (regardless of gender), finally, for female and male decision makers separately.
2. If you were to find 10 more participants, what is the probability that you would have the same number of males as females?  What about the probability of having more than 6 of them as decision makers?  What about the probability of having more than 80% of the participants over the age of 33?  How many more would you need to guarantee at least 5 more male decision makers?
3. Assuming that the data are normally distributed, what is the probability of a female spending more than $20,000 on a car?  What about a male?  (For this question, assume that your results are representative of the population so you can use the Normal distribution)
4. Repeat question 3 but correct for the fact that your data are really a sample (refer to chapter
5. How much are males willing to spend on a car?  What about females, decision makers and non-decision makers?
6. Are older people more likely than younger people to be willing to spend more on a car (you must decide what is older and younger; hint: use statistics!)?
7. Perform and ANOVA on this data set (you must decide how to create the groups) with at least 4 groups.  Discuss your results including a Tukey comparison.
8. Perform a linear regression to see whether age is related to the amount people are willing to spend on a car.  Perform your regression for all the data points, for males only, for decision makers only and then for both male and female decision makers separately.  Discuss your results.
9. If you plot the amount people are willing to spend in order of age, do you notice any trends?  Can you forecast what an older person might be willing to spend on a car?
10. Given the Likert data provided, can you find a relationship between how much people like cars and how much they are willing to spend on them? Remember that Likert data is not Normal and you must use Non-parametric statistics for this question.

Price: $2.99

Solution: The downloadable solution consists of 19 pages
Deliverable: Word Document