Difference in the mean price of autos


Assignment:

Determine the Null Hypothesis, Alternative Hypothesis and the Research Question.

1. Null Hypothesis: "There is no difference between the mean price of automobiles bought by younger and older consumers."

2. Alternative Hypothesis: "There is a difference between the mean price of automobiles bought by younger consumers and older consumers."

3. Research Question: "Is there a difference in the mean price of autos bought by younger consumers and older consumers?"

4. Resolve the 5 steps below

1. State the Null and Alternate hypothesis

2. Select the level of significance - the alpha value

3. Choose the test statistic to use

4. Determine the decision rule - the critical value of the test statistic

5. Use the sample data to compute the test statistic based on the sample, and Determine whether to reject the null or not

6. Final Step: Create a 150-200 word explanation for each of the 5 steps above

7. FYI: For the purposes of the question, 'younger' is consumers age 40 and younger, while 'older' is consumers older than 40. (the separation being 'middle age')

So there are basically 2 samples - Consumers who are 40 and younger, and consumers who are older than 40.

Price Price($000) Age Type
23197 23.197 46 0
23372 23.372 48 0
20454 20.454 40 1
23591 23.591 40 0
26651 26.651 46 1
27453 27.453 37 1
17266 17.266 32 1
18021 18.021 29 1
28683 28.683 38 1
30872 30.872 43 0
19587 19.587 32 0
23169 23.169 47 0
35851 35.851 56 0
19251 19.251 42 1
20047 20.047 28 1
24285 24.285 56 0
24324 24.324 50 1
24609 24.609 31 1
28670 28.67 51 1
15546 15.546 26 1
15935 15.935 25 1
19873 19.873 45 1
25251 25.251 56 1
25277 25.277 47 0
28034 28.034 38 1
24533 24.533 51 0
27443 27.443 39 0
19889 19.889 44 1
20004 20.004 46 1
17357 17.357 28 1
20155 20.155 33 1
19688 19.688 35 1
23657 23.657 35 0
26613 26.613 42 1
20895 20.895 35 0
20203 20.203 36 1
23765 23.765 48 0
25783 25.783 53 1
26661 26.661 46 1
32277 32.277 55 0
20642 20.642 39 1
21981 21.981 43 1
24052 24.052 56 0
25799 25.799 44 0
15794 15.794 30 1
18263 18.263 39 1
35925 35.925 53 0
17399 17.399 29 1
17968 17.968 30 1
20356 20.356 44 0
21442 21.442 41 1
21722 21.722 41 0
19331 19.331 35 1
22817 22.817 51 1
19766 19.766 44 1
20633 20.633 51 1
20962 20.962 49 1
22845 22.845 41 1
26285 26.285 44 0
27896 27.896 37 0
29076 29.076 42 1
32492 32.492 51 0
18890 18.89 31 1
21740 21.74 39 0
22374 22.374 53 0
24571 24.571 55 1
25449 25.449 40 0
28337 28.337 46 0
20642 20.642 35 1
23613 23.613 47 1
24220 24.22 58 1
30655 30.655 51 0
22442 22.442 41 1
17891 17.891 33 1
20818 20.818 46 1
26237 26.237 47 0
20445 20.445 34 1
21556 21.556 43 1
21639 21.639 37 1
24296 24.296 47 0

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Basic Statistics: Difference in the mean price of autos
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