Items #1-2 :Use the following study description:
A researcher is interested in knowing whether the scores given to new cars by actual consumers
are
related to the rankings of the same cars by a top car magazine. The magazine has ranked their top
ten cars for the model year, and the researcher asks consumers to score the cars from 1 to 5 in
terms
of how much they like each car (where 1 is very much and 5 is very little). Here are the results:
Magazine Consumer
Ranking Scores
Car A 1 2
Car B 2 1
Car C 3 1
Car D 4 2
Car E 5 3
Car F 6 4
Car G 7 5
Car H 8 4
Car I 9 3
Car J 10 2
1. Construct a scatterplot to show the relationship between the magazine rankings and the
consumer scores. Be sure to label your axes appropriately. Comment on the shape of the
relationship (linear?) and direction (positive or negative). (2 points)
2. Using an alpha of .05, conduct a hypothesis test to determine whether there is a significant
relationship between the magazine rankings and the consumer scores using all steps of
hypothesis
testing in order. Be sure to write your hypotheses in statistical notation, find your df and critical
value(s), convert the consumer scores to ranks, calculate your test statistic, make your decision,
and
write a sentence describing your results in APA style (including all needed information). (6
points)
Items #3-6: Use the following study description:
A researcher would like to know if there is a relationship between the number of positive
statements each person in a couple makes and the length of their marriage. She tracked the
number
positive statements each person in a couple made over the course of 4 half hour sessions and
recorded the length of their marriage in years. The data were as follows:
ID statements Years Married
01 32 17
02 16 12
03 5 2
04 25 23
05 12 5
06 40 25
07 34 26
08 7 7
09 28 25
10 17 15
11 20 20
12 39 30
3. Using an alpha of .05, non-directional, conduct the appropriate analysis to determine if
there is a relationship between the number of positive statements each person in a couple makes
and the length of their marriage. Be sure to give your hypotheses in statistical notation, find your
df
and critical value(s), calculate the test statistic, make a decision regarding the null hypothesis,
and
write a sentence describing your results in APA style (include all needed information). (5 points)
4. Calculate and interpret the coefficient of determination (r2) for these data. (2 points)
5. Find the regression equation for predicting length of marriage from number of positive
statements. Write the equation. Be sure to use the variable names (i.e., positive statements, length
of marriage), not X and Y, in your equation. (3 points)
6. Using the regression equation you found in #5, what would you predict would be the
marriage length for a person who made 30 positive statements? (1 point)
Item #7: Use the following study description:
A marketer at a candy company would like to know if there are gender differences in candy
prefe.
Items #1-2 Use the following study descriptionA researcher i.pdf
1. Items #1-2 :Use the following study description:
A researcher is interested in knowing whether the scores given to new cars by actual consumers
are
related to the rankings of the same cars by a top car magazine. The magazine has ranked their top
ten cars for the model year, and the researcher asks consumers to score the cars from 1 to 5 in
terms
of how much they like each car (where 1 is very much and 5 is very little). Here are the results:
Magazine Consumer
Ranking Scores
Car A 1 2
Car B 2 1
Car C 3 1
Car D 4 2
Car E 5 3
2. Car F 6 4
Car G 7 5
Car H 8 4
Car I 9 3
Car J 10 2
1. Construct a scatterplot to show the relationship between the magazine rankings and the
consumer scores. Be sure to label your axes appropriately. Comment on the shape of the
relationship (linear?) and direction (positive or negative). (2 points)
2. Using an alpha of .05, conduct a hypothesis test to determine whether there is a significant
relationship between the magazine rankings and the consumer scores using all steps of
hypothesis
testing in order. Be sure to write your hypotheses in statistical notation, find your df and critical
value(s), convert the consumer scores to ranks, calculate your test statistic, make your decision,
and
write a sentence describing your results in APA style (including all needed information). (6
3. points)
Items #3-6: Use the following study description:
A researcher would like to know if there is a relationship between the number of positive
statements each person in a couple makes and the length of their marriage. She tracked the
number
positive statements each person in a couple made over the course of 4 half hour sessions and
recorded the length of their marriage in years. The data were as follows:
ID statements Years Married
01 32 17
02 16 12
03 5 2
04 25 23
05 12 5
4. 06 40 25
07 34 26
08 7 7
09 28 25
10 17 15
11 20 20
12 39 30
3. Using an alpha of .05, non-directional, conduct the appropriate analysis to determine if
there is a relationship between the number of positive statements each person in a couple makes
and the length of their marriage. Be sure to give your hypotheses in statistical notation, find your
df
and critical value(s), calculate the test statistic, make a decision regarding the null hypothesis,
and
5. write a sentence describing your results in APA style (include all needed information). (5 points)
4. Calculate and interpret the coefficient of determination (r2) for these data. (2 points)
5. Find the regression equation for predicting length of marriage from number of positive
statements. Write the equation. Be sure to use the variable names (i.e., positive statements, length
of marriage), not X and Y, in your equation. (3 points)
6. Using the regression equation you found in #5, what would you predict would be the
marriage length for a person who made 30 positive statements? (1 point)
Item #7: Use the following study description:
A marketer at a candy company would like to know if there are gender differences in candy
preferences. Forty adults were randomly selected and asked the following question: Which type
of
6. candy do you prefer? They were instructed to only pick one candy type. The three types of candy
included, hard candy, chocolate, or chewy candy. The data were as follows:
Hard candy chocolate candy chewy candy
Women 3 15 4
Men 7 5 6
7. Conduct the appropriate analysis to determine whether gender and candy preference are
independent of each other. Use an alpha of .05. Do the all the steps in hypothesis testing. Be sure
to give your hypotheses in statistical notation, find your df and critical value(s), calculate your
test
statistic, make your decision regarding the null hypothesis, compute the effect size if appropriate,
and write a sentence describing your results in APA style (include all needed information). (6
points)
7. Items #8-9 Use the following data for items 8 and 9. A researcher has collected statistics pretest
scores for students representing 3 different age groups.
18-30: 31-45: 45 and up:
3 5 10
7 10 2
9 9 8
6 8 8
4 6 5
8. Conduct a hypothesis test using ANOVA to determine whether there is a significant
difference in statistics pretest scores based on age groups. Use an alpha of .05. Do the all the
steps
in hypothesis testing. Be sure to write your hypotheses in statistical notation, find your df and
critical value, calculate your test statistic, make your decision regarding the null hypothesis,
calculate effect size if appropriate, and write a sentence describing the results in APA style
(including all needed information). (6 points)
8. 9. Use the Scheffe
Solution
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