# Please, put the details of your computations on this sheet, and label all your graphs (axis, title) Homework1 – Chapter 1&2. XXXXXXXXXXStudent Name:________________ Homework – Chapter 11....

Please, put the details of your computations on this sheet, and label all your graphs (axis, title)
Homework1 – Chapter 1&2. XXXXXXXXXXStudent Name:________________
Homework – Chapter 11. XXXXXXXXXXStudent name:​​​​​​​​​​​​____________________
Question # 1
An organizational psychologist was interested in whether individuals working in different sectors of a company differed in their attitudes toward the company. The results for the three people surveyed in development were 10, 12, and 11; for the three in the marketing department, 6, 6, and 8; for the three in accounting, 7, 4, and 4; and for the three in production, 14, 16, and 13 (higher numbers mean more positive attitudes). Was there a significant difference in attitude toward the company among employees working in different sectors of the company at the .05 level?
Step I:
-Research hypothesis:
-Null hypothesis:
Step II: Give the characteristics of the comparison distribution
Step III: What is (are) the cut-off(s):
Step IV: Compute the test statistic to determine sample’s score on the comparison distribution
-Compute the between-group estimate of variance:
-Compute the within-group estimate of variance:
-Compute the F statistic:
Step V: What is the decision? State your answer in the APA format.
Question # 2
Do students at various colleges differ in how sociable they are? Twenty-five students were randomly selected from each of three colleges in a particular region and were asked to report on the amount of time they spent socializing each day with other students. The results for College X was a mean of 5 hours, and an estimated population variance of 2 hours; for College Y, M = 4, S2= 1.5; and for College Z, M = 6, S2 = 2.5. What should you conclude (at the 0.05 level)?
Do students atDo
Step I:
-Research hypothesis:
-Null hypothesis:
Step II: Give the characteristics of the comparison distribution
Step III: What is (are) the cut-off(s):
Step IV: Compute the test statistic to determine sample’s score on the comparison distribution
-Compute the between-group estimate of variance:
-Compute the within-group estimate of variance:
-Compute the F statistic:
Step V: What is the decision? State your answer in the APA format.
Question # 3
Based on the study described in Question #2, determine planned comparisons for College X versus College Y, using the .05 significance level:
-Compute the grand mean:
-Estimate the variance of the distribution of means:
- Compute the between-group estimate of variance:
- Compute the within-group estimate of variance:
-Give the cut-off and compute the F statistic:
-Is there a statistically significant difference between college X and college Y:
Question #4
A psychologist studying artistic preference randomly assigns a group of 45 participants to one of three conditions in which they view a series of unfamiliar abstract paintings. The 15 participants in the Famous condition are led to believe that these are each famous paintings; their mean rating for liking the paintings is 6.5, S = XXXXXXXXXXThe 15 in the Critically Acclaimed condition are led to believe that these are paintings that are not famous but are very highly thought of by a group of professional art critics; their mean rating is 8.5, S = XXXXXXXXXXThe 15 in the Control condition are given no special information about the paintings; their mean rating is 3.1, S = XXXXXXXXXXDoes what people are told about paintings make a difference in how well they are liked? Use the .05 level.
Step I:
-Research hypothesis:
-Null hypothesis:
Step II: Give the characteristics of the comparison distribution
Step III: What is (are) the cut-off(s):
Step IV: Compute the test statistic to determine sample’s score on the comparison distribution
-Compute the between-group estimate of variance:
-Compute the within-group estimate of variance:
-Compute the F statistic:
Step V: What is the decision? State your answer in the APA format.
Question # 5
Based on the study described in Question #4, test the significance of planned contrasts (using the .05 significance level without a Bonferroni correction) for Famous versus Control.
-Compute the grand mean:
-Estimate the variance of the distribution of means:
- Compute the between-group estimate of variance:
- Compute the within-group estimate of variance:
- Give the cut-off and compute the F statistic:
-Is there a statistically significant difference between Famous versus Control:
Question # 6 (multiple choice, circle the correct response for each of the following)
(i) In an analysis of variance with a within-groups variance estimate of 8.5 and a between-groups variance estimate of 5.3, the F ratio is
a. 5.3 / 8.5 = 0.62
b. 8.5 / 5.3 = 1.60
c. √5.3 / 8.5 = 0.27
d. √8.5 / 5.3 = 0.55
(ii) If a research article reports "F (2, 36) = 2.95, p < .05," you know that
a. there were two groups.
b. there were 39 participants.
c. there were 36 participants.
d. there were 36 participants per group.
(iii) In an analysis of variance, if the null hypothesis is true, then
a. the research hypothesis can also be true.
b. fewer participants can be included in the experiment.
c. there is less variance among means of samples than if the null hypothesis were not true.
d. the within-groups estimate of the population variance is smaller than the between-groups estimate.
(iv) In an analysis of variance, if the within-groups variance estimate is about the same as the between-groups variance estimate, then
a. the null hypothesis should be rejected.
b. any difference between sample means is probably due to random sampling error.
c. an error has been made in computing the between-groups and the within-groups variance estimates.
d. any difference between sample means is probably due to a real difference caused by experimental conditions.
(v) In an analysis of variance, you reject the null hypothesis when the F ratio is
a. negative.
b. much larger than 1.
c. equal to the t score.
d. smaller than 1.
(vi) A planned comparison comparing two means involves figuring an F ratio in which the denominator
a. depends on the pair of means being compared.
b. has degrees of freedom equal to the total within-groups degrees of freedom of the two groups being compared.
c. is the overall within-groups population variance estimate, regardless of the pair of means being compared.
d. does not involve figuring an F ratio for any planned comparison.
(vii) An article reported that “The means for the student groups with a reading disability, mathematics
disability, expressing writing disability, and control group were 40.1, 33.8, and 39.2, and 50
respectively, F(3, 16) = 3.09, p < .05. In total, how many students participated in this study?
a. 10
b. 15
c. 16
d. 20
(viii) One characteristic of an F ratio is that:
a. when looking up the cutoff on a table, the degrees of freedom are needed rom the numerator, denominator, and the sum of squares calculation.
b. it is never less than 0.
c. it is negatively skewed (the long tail to the left).
d. the standard t distribution (for 30 df) is used as a comparison distribution.
(ix) When you do an analysis of variance:
a. you need fewer participants than for a t test for independent means.
b. you compare two estimates of the population variance.
c. you figure difference scores, as in a t test for dependent means.
d. all of the above.
(x) Which of the following shows how the results of an analysis of variance would usually be reported in a research article?
a. F < p(.01)
b. F(3,50) = 4.33, p < .05
c. F(4.33) = p(.01)
d. F = 4.33, significant
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May 03, 2021

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