A clinical psychologist wished to compare three methods for reducing hostility levels in university students using a certainpsychological test (HLT). High scores on this test were taken to indicate great hostility, and 11 students who got high andnearly equal scores were used in the experiment. Five were selected at random from among the 11 students and treated bymethod A, three were taken at random from the remaining six students and treated by method B, and the other threestudents were treated by method C. All treatments continued throughout a semester, when the HLT test was given again.The results are shown in the Table below. Suppose you must test the hypothesis at 5% level of significance that there is adifference in mean student scores after treatment for the three methodsMethodScores on the HLT Test73, 83, 76, 68, 8054, 74, 7179, 95, 87The treatment sum of square will be:a) 641.845b) 641.800c) 498.700d) 300.234

Answered: Image /qna-images/answer/14ce606b-cace-49b4-b8f9-0c1bee1413f8.jpg

Answered: A clinical psychologist wished to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose you were presented with the results of a study comparing two different training methods for basketball athletes. You are told 32 athletes were randomly assigned to the two groups so that 16 were in the group A and 16 were in the group B. At the end of the session, the average scores (wins versus losses) of the two groups/teams were compared and a difference of 10% was observed ( the first team had 10% more wins than the second). The coach observer reports two- sample t-test shows this difference is statistically significant. How would you interpret these findings? What questions or concerns would you have? How might this type of study be improved? Hint: Consider the possibility that the test performed was not the appropriate one.
A study designed to compare two ethnic groups on a measure of a particular personality trait used a large number of participants to have high power. The study found a significant result, but the difference between the means was very small (that is, there was a small effect size). Talk about the fact that this test is statistically significant but may not be practically significant?
Dr. Mackintosh believes a new olfactory therapy would be more successful in promoting weight loss among obese patients. His patients are first weighed and then randomly assigned to olfactory therapy, dance therapy, or a control condition. At the end of the three weeks, the amount of weight lost is recorded. The results indicate no significant difference in the amount of weight lost between the three conditions. If true differences existed between the conditions, but they were not detected, what kind of error occurred?
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
A researcher was interested in how the effects of stress were different in people with our without military training. A equal number of participants were recruited that either had no military experience or had completed military experience. All participants were asked to give a speech without preparation while being judged by a panel of experts. Their heart rates were monitored during the speech and an average heart rate was calcuated for each participant. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVA
Does the test result Provide sufficient evidence that light alcohol consumption has a negative impact on the driving performance of a sleep deprived driver. Why or why not
An experiment to evaluate the effectiveness of the type of snack and children's perception of satiation was designed so that subjects aged 10 to 13 years were randomly assigned a snack that was of the exact same ingredients but described differently. The first group had their snack described as healthy and full of vitamins, the second group had their snack described as tasty, the third group were given a snack without any description whatsoever. Thirty minutes after finishing the snack, subjects were asked to rate their hunger on a scale of 1 to 10. The results are summarized in the table: ANOVA: Single Factor SUMMARY Groups Healthy Tasty No Description ANOVA Source of Variation Between Groups Within Groups Total Count 12 13. 14 SS 17.46154 62.89744 80.35897 Sum 62 46 56 Average 5.1667 3.5385 4.0000 Variance 1.9697 1.9359 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Based on these results, at a 5% level of significance what conclusion can the researchers draw from…
A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )
A doctor wanted to study the effect of four different treatments on mental health. A group of 100 adults experiencing depression volunteered for the study. The doctor randomly assigned one-fourth of them to each of four groups. Group 1 followed a specific exercise plan, group 2 followed a specific diet plan, group 3 followed an exercise and diet plan, and group 4 did not follow any plan. After 4 weeks, the doctor contacted each participant and asked them if they felt any better. The results are displayed in the table. The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. The random condition is met. The 10% condition is not needed because random sampling did not take place. This table of expected counts shows that all expected counts are at least 5. What is the value of the chi-square test statistic? χ‑2 = 5.03 χ‑2 = 6.26 χ‑2 = 25.33 χ‑2 = 39.22
A study was conducted to explore the possibility of a audiobook treatment effect on sleep quality (better, worse). One version of the study involved 32 uber drivers. The uber drivers were given the option to choose which group they were in. One group listened to an audiobook while they slept, while the other group did not. The researchers found a difference of 21.9 percentage points between the proportion of uber drivers in each group who experienced better sleep quality. The group that listened to an audiobook had the higher proportion. The tail proportion from a randomisation test carried out with the data from the study was 1/1000.

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