Question

In: Statistics and Probability

A psychologist is interested in knowing whether adults who were bullied as children differ from the...

A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a sample mean of 39.5 and a sample standard deviation of 6.6.

Test at the .05 level of significance.

Set up the criteria for making a decision. That is, find the critical value using an

alpha = .05. (Make sure you are sign specific: + ; - ; or ± )

Solutions

Expert Solution

Let X be the score of empathy.

In a random sample of 25 scores sample mean 39.5 and a sample standard deviation s= 6.6.

At 5% level of significance we want to test the psychologist claim that the adults who were bullied as children differ from the general population in terms of their empathy for others.

The mean score of general population is 30.6

The null and alternative hypotheses are:

Therefore we have enough evidence to support the psychologist claim that the adults who were bullied as children differ from the general population in terms of their empathy for others.


Related Solutions

A psychologist is interested in knowing whether adults who were bullied as children differ from the...
A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 80.82. Random sampling of 76 scores obtained from individuals who were bullied yielded a mean of 66.42 and a standard deviation of 22.87. Suppose you want to calculate the 99% confidence interval.
An educational psychologist is interested in knowing whether the experience of attending preschool is related to...
An educational psychologist is interested in knowing whether the experience of attending preschool is related to subsequent sociability. She identifies two groups of first graders: those who had attended preschool and those who had not. Then each child is assigned a sociability score on the basis of observations made in the classroom and on the playground. Perform the 4 steps of hypothesis testing if using alpha is set at .05 for a two-tailed test. The following sociability results are obtained:...
1. An educational psychologist is interested in knowing whether the experience of attending preschool is related...
1. An educational psychologist is interested in knowing whether the experience of attending preschool is related to subsequent sociability. She identifies two groups of first graders: those who had attended preschool and those who had not. Then each child is assigned a sociability score on the basis of observations made in the classroom and on the playground. Perform the 4 steps of hypothesis testing if using alpha is set at .05 for a two-tailed test. The following sociability results are...
A psychologist interested in animal research wanted to determine whether people who owned a cat were...
A psychologist interested in animal research wanted to determine whether people who owned a cat were more relaxed than people who did not own any pets. The participants’ relaxation levels were measured on a 10-point scale with higher numbers representing greater feelings of relaxation. Use SPSS and the logic of hypothesis testing to determine whether or not cat owners are more relaxed at the .05 significance level. Cat owner No pets 10 3 7 4 8 7 6 5 9...
Problem 1 An investigator is interested in knowing whether managers who were raised under authoritarian child-rearing...
Problem 1 An investigator is interested in knowing whether managers who were raised under authoritarian child-rearing practices are more authoritarian in their management practices than those raised in more democratic home backgrounds. He gets 300 managers to complete questionnaires that indicate the sort of child-rearing practices they experienced. From the results, it was possible to divide the 300 managers into 170 who came from democratic homes and 130 from authoritarian homes. The management practices of these two groups were assessed...
Dr. Smile is interested in evaluating whether 7-year-old autistic children differ from the general population of...
Dr. Smile is interested in evaluating whether 7-year-old autistic children differ from the general population of 7-year-old children in their ability to recognize facial expressions. She develops the Facial Recognition Test, which has mean = 200 among the general population of 7-year-olds. Dr. Smile collects data on a sample of 16 children with autism. In this sample Xbar = 180 and s = 12. A) using alpha= 0.05 and a two-tailed test, conduct a one-sample t-test evaluating the null hypothesis....
A clinical psychologist is interested in knowing if different types of treatments have an effect on...
A clinical psychologist is interested in knowing if different types of treatments have an effect on the number of flashbacks per week experienced by Iraq War veterans. She randomly selected a group of 24 veterans with posttraumatic stress disorder (PTSD) from the local VA hospital. Each person is randomly assigned to one of three groups: Group 1 is a waiting list control group (no treatment); Group 2 receives Eye Movement Desensitization and Reprocessing (EMDR); and Group 3 gets cognitive-behavioral therapy...
A psychologist is interested in investigating whether people who never owned a pet are happier after...
A psychologist is interested in investigating whether people who never owned a pet are happier after getting a pet. A questionnaire about their level of happiness is administered to a group of 20 to 29 year-olds when they before they get a pet and after they get a pet. The data are below. Before Pet After Pet 10 15 9 9 11 10 11 5 9 19 17 15 Calculate a t-statistic to compare the happiness levels before and after...
A psychologist is interested in the mean IQ score of a given group of children. It...
A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 11 . The psychologist randomly selects 150 children from this group and finds that their mean IQ score is 99 . Based on this sample, find a 95% confidence interval for the true mean IQ score for all children of this group. Then complete the table below. What is the...
Second chance 1st attempt was wrong A school psychologist wants to determine whether children who live...
Second chance 1st attempt was wrong A school psychologist wants to determine whether children who live with both parents perform better on school work than children who live with a single parent. She gathers two groups for her comparison, 20 children who live with both parents and another 20 who live with a single parent. The psychologist plans to use scores on a standardized achievement test as an indicator of school performance. Respond to the prompts below. (1 point each)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT