Question

In: Statistics and Probability

A psychologist wanted to know if students in her class were more likely to cheat if...

A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean course-testings score on the previous three tests. She then asked them to rate how likely they were to cheat on an course-testings if the opportunity presented itself with very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat.

2. Look at data set. Before running any statistical analyses, glance through the data. Which hypothesis will be supported?

DATA:

Achievement_Group Gender Cheat
1 0 20
1 0 40
1 0 49
1 0 50
1 0 51
1 0 51
1 0 52
1 0 53
1 0 58
1 1 42
1 1 48
1 1 48
1 1 52
1 1 55
1 1 55
1 1 56
1 1 59
1 1 67
1 1 80
1 1 79
2 0 19
2 0 25
2 0 20
2 0 29
2 0 24
2 0 32
2 0 25
2 0 27
2 0 30
2 0 55
2 1 40
2 1 25
2 1 27
2 1 35
2 1 42
2 1 30
2 1 30
2 1 34
2 1 40
2 0 27
3 0 60
3 0 65
3 0 69
3 0 78
3 0 79
3 0 80
3 0 80
3 0 90
3 0 95
3 0 50
3 1 55
3 1 55
3 1 60
3 1 69
3 1 70
3 1 70
3 1 88
3 1 90
3 1 90
3 1 91

Solutions

Expert Solution

Glancing the data showed we need to see if there is considerable difference in the Cheat scores for Achievement Group1, 2 & 3. If such difference exists, we can conclude that there is effect of Achievement on the student desire to cheat.

We have one categorical independent variable and one quantitative dependent variable. So we can perform one way Anova to see the difference among groups.

Hypothesis for this test would be

H0: The Cheat_Score means of all Achievement groups are equal

H1: The Cheat_Score mean of at least one Achievement group is different.

The below is the Anova test output.

Note: The data has been remodeled to perform Anova test

The p value (1.55E-15)<0.05 indicates the difference among the groups is significant.


But in this case we can only know whether there is difference among group means, we will not have pair wise comparison of groups(i,e comparison between means of Low and High Achievement groups). For getting that pair wise test, we can use "Tukey multiple pairwise-comparisons" Test.


Related Solutions

A psychologist wanted to know if students in her class were more likely to cheat if...
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean course-testings score on the previous three tests. She then asked them to rate how likely they were to cheat on a course-testings if the opportunity presented itself with very limited chance for consequences. The students rated their desire to cheat on a scale ranging...
A psychologist wanted to know if students in her class were more likely to cheat if...
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean course-testings score on the previous three tests. She then asked them to rate how likely they were to cheat on a course-testings if the opportunity presented itself with very limited chance for consequences. The students rated their desire to cheat on a scale ranging...
A psychologist wanted to know if students in her class were more likely to cheat if...
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean course score on the previous three course-testings. She then asked them to rate how likely they were to cheat on an course-testings if the opportunity presented itself with very limited chance for consequences. The students rated their desire to cheat on a scale ranging...
A psychologist wanted to know if students in her class were more likely to cheat if...
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean course-testings score on the previous three tests. She then asked them to rate how likely they were to cheat on a course-testings if the opportunity presented itself with very limited chance for consequences. The students rated their desire to cheat on a scale ranging...
a professor has learned that six students in her class of 19 will cheat on the...
a professor has learned that six students in her class of 19 will cheat on the exam. She decides to focus her attention on eight randomly chosen students during the exam. A. what is the probability that she finds at least one the students cheating? B. what is the probability that she finds at least one of the students cheating if she focuses on nine randomly chosen students?
A professor has learned that eight students in her class of 31 will cheat on the...
A professor has learned that eight students in her class of 31 will cheat on the exam. She decides to focus her attention on ten randomly chosen students during the exam. a. What is the probability that she finds at least one of the students cheating? (Round your final answers to 4 decimal places.) b. What is the probability that she finds at least one of the students cheating if she focuses on eleven randomly chosen students? (Round your final...
A physiological psychologist wanted to know if there is a gender difference in consuming a sweet...
A physiological psychologist wanted to know if there is a gender difference in consuming a sweet taste in rats. Ten male and ten female rats were allowed to lick on a tube of saccharin-sweetened water for ten minutes. The number of licks were 12, 11, 8, 9, 14, 10, 8, 9, 11, and 12 for the female rats and 6,7, 9, 5, 7, 9, 7, 8, 9, and 10 for the male rats. Is there a significant difference between males...
A teacher wanted to estimate the proportion of students who take notes in her class. She...
A teacher wanted to estimate the proportion of students who take notes in her class. She used data from a random sample of size n = 76 and found that 45 of them took notes. The 97% confidence interval for the proportion of student that take notes is:
An educational researcher wanted to know if in-class activities significantly improved students’ learning compared to traditional...
An educational researcher wanted to know if in-class activities significantly improved students’ learning compared to traditional lecture only teaching methods. Ten students matched on GPA, Year in school, and academic major were randomly selected from the current student population. One student from each pair was randomly assigned to either the Lecture Only class or Lecture plus Group Activities class. At the end of the semester, students’ final exam scores were recorded and teaching methods were compared. Which type of statistical...
A personality psychologist wanted to know if men and women differ in their sympathy and compassion...
A personality psychologist wanted to know if men and women differ in their sympathy and compassion expressed to others. She gave a personality test to randomly selected men and women. One component of the test measured empathy, with higher scores indicating more empathy. The data are shown in the spreadsheet. Carry out a t-test on H0: μ M = μ W (population means for Men and Women are the same) vs. Ha: μ M ≠ μ W (population means for...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT