At a local farm, USGS soil maps identified 5 different soil types: A, B, C, D, & E. Within each irregularly shaped plot defined by a single soil type, 4 different fertilizer/watering regimens were applied. See the data below for the yield in bushels.

These data are stored in the data set soils.sav.

1. Why would you block on soils in this experiment?
2. Produce the profile plots and comment.
3. Test the hypothesis that the means of the nutrients are equal.
   1. State the null and alternative hypotheses.
   2. State the conclusion.
4. Compare the marginal means and descriptive means for each of the nutrients.
5. Test the following:
   1. Does the mean of nutrient 1 differ from the mean of nutrient 4?
   2. Does the mean of nutrients 1, 2, and 4 differ from the mean of nutrient 3?

This experiment involves presenting a group of students with a lecture on an unfamiliar topic. One week later, the students were given a test on the lecture material. To manipulate the conditions at the time of learning, some students received the lecture in a large classroom, and some heard the lecture in a small classroom. For those students who were lectured in the large room, one half were tested in the same large room, and the others were changed to the small room for testing. Similarly, one-half of the students who were lectured in the small room were tested in the small room, and the other half were tested in the large room. Thus the experiment involved four groups of subjects in a two-factor design, as shown in the following table. The score for each subject is the number of correct answers on the test. The data are stored in the file teaching.sav.

1. Obtain descriptive statistics and profile plots and comment on the plots.
2. Obtain the ANOVA table and comment.
3. Test the homogeneity of group variances.
4. Test the difference in the means for

1. Each lecture method
2. Each testing method

1. Test the significance of the interaction term.
2. Write a short explanation about what the analysis has revealed to you about the research hypothesis.
3. Test the following.
   1. Small Lecture Room and small testing room vs. Small Testing Room with large lecture room.
   2. Large Lecture Room with small testing room vs. Large Testing Room with Large lecture room.
   3. Small Testing Room and Small Lecture Room vs. Large Testing Room and Large Lecture Room.
4. Which scenario is the best for learners?

Cash Offers for Trade in Cars

Consumers purchasing a new car at a car dealership are often given a discounted price if they `trade in' (or sell) their old car to the dealership.

A consumer organization looked into the amount of money offered for `trade in' when an individual buys a new car.

The organization suspected that the gender of the car purchaser and the age of the car purchaser would affect the `trade in' value of their old car.

The consumer organization conducted this study:

• 36 car dealerships were randomly selected
• A six year old economy car was offered as a `trade in' at each of the dealerships
• The same car was used at each dealership.
• 36 people took part in the study, 6 young females, 6 middle age females, 6 elderly females, 6 young males, 6 middle age males, 6 elderly males.
• Each of the 36 people in the study was randomly assigned to one of the 36 dealerships.
• Each person took the car to the dealership and arranged to buy a new car using the experimental car as a `trade in'.
• The `trade in' cash offers in hundreds of dollars were recorded.

Data are saved in the cash.sav file.

Data Display

Row cash age gender

1 20 young male

2 23 young male

3 19 young male

4 22 young male

5 22 young male

6 23 young male

7 22 young female

8 22 young female

9 20 young female

10 21 young female

11 19 young female

12 25 young female

13 30 middle male

14 29 middle male

15 26 middle male

16 28 middle male

17 27 middle male

18 27 middle male

19 26 middle female

20 27 middle female

21 24 middle female

22 28 middle female

23 26 middle female

24 17 middle female

25 25 elderly male

26 22 elderly male

27 23 elderly male

28 21 elderly male

29 22 elderly male

30 21 elderly male

31 20 elderly female

32 23 elderly female

33 19 elderly female

34 21 elderly female

35 20 elderly female

36 18 elderly female

1. Look at the profile plots to determine if there are main effects or interaction effects.
2. Analyze the data as a two-way analysis of variance and test the following hypotheses. (Do not give a one-word answer for these hypotheses.)

1. Ho: gender does not affect the size of the cash offer
   Ha: gender affects the size of the cash offer
2. Ho: age does not affect the size of the cash offer
   Ha: age affects the size of the cash offer
3. Ho: no interaction effect between age and gender on the size of the cash offer

Ha: interaction effect between age and gender on the size of the cash offer

1. Determine if significant differences exist between the levels of age for "trade in" values. If there is a difference, use the Tukey method to determine which means are different.
2. Which scenario gives the best cash "trade in" value?
3. If gender is significantly different in the ANOVA table, is it necessary to run a Tukey test on gender to determine if males and females have different cash offers? Why?
   For the following, use contrast statements and paste either the syntax or the Contrast Table output for your contrast into the answer.
4. Test for significant differences in the mean cash offers to young purchasers and to elderly purchasers.
5. Test for significant differences in the mean cash offers for middle-aged purchasers and elderly purchasers.
6. Obtain means and estimated marginal means for each of the groups: females, males, young, middle-aged, and elderly and compare them.

Price: $42.16

Solution: The downloadable solution consists of 23 pages, 1916 words and 23 charts.
Deliverable: Word Document