Question

In: Statistics and Probability

12 subjects in a study were randomly assigned into two equally sized groups. One group was...

12 subjects in a study were randomly assigned into two equally sized groups. One group was shown a short video on how to fold paper cranes. The other group was given an instruction booklet on how to do so. They were then asked to make paper cranes for the next hour. The number of paper cranes each subject made was recorded and is listed in the table below. The researchers are interested in whether there was a difference in the average number of paper cranes between the two groups.

Use a permutation test to test this hypothesis.

Video Group Booklet Group
10 20
10 21
12 20
6 20
21 20
11 21

Assuming group sizes stayed the same, how many possible ways are there to assign the subjects to the two groups?

How many arrangements of the data result in a mean difference in number of paper cranes made between the two groups that is greater than or equal to the absolute value of the observed one?

What is the p value?

Assuming a signifigance level α = 0.01, do we reject the null hypothesis?


Yes, we reject the null hypothesis
No, we can not reject the null hypothesis

Solutions

Expert Solution


Related Solutions

Depressed patients were randomly assigned to one of three groups: a placebo group, a group that...
Depressed patients were randomly assigned to one of three groups: a placebo group, a group that received a moderate dose of the drug, and a group that received a high dose of the drug. After four weeks of treatment, the patients completed the Beck Depression Inventory. The higher the score, the more depressed the patient. We are now also interested if a patient's weight has an effect on the drug's effectiveness. Patients were categorized as either underweight, overweight, or 'medium...
Depressed patients were randomly assigned to one of three groups: a placebo group, a group that...
Depressed patients were randomly assigned to one of three groups: a placebo group, a group that received a moderate dose of the drug, and a group that received a high dose of the drug. After four weeks of treatment, the patients completed the Beck Depression Inventory. The higher the score, the more depressed the patient. We are now also interested if a patient's weight has an effect on the drug's effectiveness. Patients were categorized as either underweight, overweight, or 'medium...
) In a study of the effects of caffeine on alertness, 32 subjects were randomly assigned...
) In a study of the effects of caffeine on alertness, 32 subjects were randomly assigned to four groups. These groups were C1: wait-list control (no treatment), C2: placebo control, E1: experimental group 1 (mild caffeine treatment) and E2: experimental groups 2 (high caffeine treatment). Several subjects were not able to complete the study, reducing the group n’s to 7, 5, 6, and 3, respectively. The dependent variable scores were performance scores on a visual-motor task requiring alertness. The results...
In a large clinical​ trial, 390,444 children were randomly assigned to two groups. The treatment group...
In a large clinical​ trial, 390,444 children were randomly assigned to two groups. The treatment group consisted of 195,174 children given a vaccine for a certain​disease, and 30 of those children developed the disease. The other 195,270 children were given a​ placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1 ModifyingAbove p with caret p1​, ModifyingAbove q with caret q1​, n2 ModifyingAbove p with caret...
In a​ study, 272 moderately obese subjects were randomly assigned to one of three​ diets: low-fat,​...
In a​ study, 272 moderately obese subjects were randomly assigned to one of three​ diets: low-fat,​ restricted-calorie; Mediterranean,​ restricted-calorie; or​ low-carbohydrate, nonrestricted-calorie. The prediction was that subjects on a​ low-carbohydrate diet would lose​ weight, on the average. After two​ years, the mean weight loss was 5.5 kg for the 109 subjects in the​ low-carbohydrate group with a standard deviation of 7.0 kg. The technology output below shows results of a significance test for testing Upper H 0 : mu equals...
In a​ study, 272 moderately obese subjects were randomly assigned to one of three​ diets: low-fat,​...
In a​ study, 272 moderately obese subjects were randomly assigned to one of three​ diets: low-fat,​ restricted-calorie; Mediterranean,​ restricted-calorie; or​ low-carbohydrate, nonrestricted-calorie. The prediction was that subjects on a​ low-carbohydrate diet would lose​ weight, on the average. After two​ years, the mean weight loss was 5.5 kg for the 109 subjects in the​ low-carbohydrate group with a standard deviation of 7.0 kg. The technology output below shows results of a significance test for testing Upper H 0 : mu equals...
1) In a study of the effects of caffeine on alertness, 32 subjects were randomly assigned...
1) In a study of the effects of caffeine on alertness, 32 subjects were randomly assigned to four groups. These groups were C1: wait-list control (no treatment), C2: placebo control, E1: experimental group 1 (mild caffeine treatment) and E2: experimental groups 2 (high caffeine treatment). Several subjects were not able to complete the study, reducing the group n’s to 7, 5, 6, and 3, respectively. The dependent variable scores were performance scores on a visual-motor task requiring alertness. The results...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of two groups, called "Sentences" or "Intentional". Each subject was given a list of 50 words. Subjects in the "Sentences" group were told to form multiple sentences, each using at least two words from the list, and to keep forming sentences until all the words were used at least once. Subjects in the "Intentional" group were told to spend five minutes memorizing as many of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of two groups, called "Sentences" or "Intentional". Each subject was given a list of 50 words. Subjects in the "Sentences" group were told to form multiple sentences, each using at least two words from the list, and to keep forming sentences until all the words were used at least once. Subjects in the "Intentional" group were told to spend five minutes memorizing as many of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of two groups, called "Sentences" or "Intentional". Each subject was given a list of 50 words. Subjects in the "Sentences" group were told to form multiple sentences, each using at least two words from the list, and to keep forming sentences until all the words were used at least once. Subjects in the "Intentional" group were told to spend five minutes memorizing as many of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT