Two students in a math class compared their scores on a series of five quizzes: Student Student А B 4 6 9 5 3 7 8 5 6 Considering the concepts of both central tendency and variability, discuss (a) which student tended to perform better on the quizzes (b) which student tended to perform more consistently on quizzes
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- A manufacturer ran an experiment to compare the wearing qualities of two different types of automobile tires, A and B. In the experiment, a tire of Type A and one of the type B were randomly assigned and mounted on the rear wheels of each of five cars. the cars were then operated for x miles and the amount of tire wear was recorded (higher number represents more wear). Is there sufficient evidence to conclude that there is a difference in the average wear? Use 0.05 level of significance. Tire A 10.6 9.8 12.3 9.7 8.8 Tire B 10.2 9.4 11.8 9.1 8.3The researchers aimed to investigate whether there was a link between recent oral contraceptive (OC) usage and the occurrence of myocardial infarction (MI), commonly known as a heart attack. To explore this hypothesis, they conducted an observational study involving 234 patients who had suffered an MI and 1742 control patients who had not experienced an MI. Participants were queried about their recent OC usage, which was recorded as a binary (yes/no) variable. Among those who had recently used OCs, 29 had encountered an MI, while 135 had not. Use a 2 x 2 table to estimate the appropriate measure of association for this study. Include the leading digit before the decimal and round each answer to 2 decimal places. Odds of OC use among those with MI are ____. Odds of OC use among those without MI are ____. Here also, these are odds of exposure, not odds of disease. The Odds Ratio is ____.A group of students in Methods of Social Research wanted to study the relationship between GPA and participation in athletics among ENC traditional undergraduates. Other researchers have found that students involved in Division III athletics often have higher GPAs than the rest of the student body, so the group of students in Methods wanted to know whether this was true for ENC students. They were able to gather data on 160 ENC students (80 athletes and 80 non-athletes) and found that, among this group, the 80 athletes had slightly higher GPAs on average than the 80 students who were not athletes. In this study, who makes up the sample? Who makes up the population? Suppose they found in the sample data that the overall GPA for ENC athletes was 3.35 and for the ENC non-athletes was 3.21. Are these statistics or parameters?
- A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. He divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 25 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 149.5, 178.9, 145.8, 195.4, 97.4, 123.4, 128.8, 121.1, 189.7, 134, 125, 93.7, 222.9, 115.5, 188.9, 87.6, 132.6, 109, 201.3, 93.1 Group B: 152.5, 138.5, 188, 52.9, 186.6, 154.3, 193, 150.1, 187.1, 122.1, 167.1, 112.2, 197.5, 131.8, 115.6, 166.2, 108, 141.3, 110.2, 164.5, 189.4, 142.2, 174, 190, 171.3 Perform a hypothesis test using a 5% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative hypotheses. Но: Ha: test.) (So we will be…McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study. Noncontact Athletes: 10, 8, 7, 9, 13, 7, 6, 12 Contact Athletes: 7, 4, 9, 3, 7, 6, 10, 2 a. Are the test scores significantly lower for the contact sport athletes than for the noncontact athletes? Use a one-tailed test with =.05 t-critical= t= b. Compute the value of (percentage of variance accounted for) for these data. r^2= a. 0.123, b. 0.239, c. 0.138, d. 0.264McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study. Noncontact Athletes: 10, 8, 7, 9, 13, 7, 6, 12 Contact Athletes: 7, 4, 9, 3, 7, 6, 10, 2 a. Are the test scores significantly lower for the contact sport athletes than for the noncontact athletes? Use a two-tailed test with =.05 b. What sampling technique was most likely employed by the researcher? justify your answer c. Does exposure to head impacts have an effect on cognitive performance? why or why not
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- A researcher uncovers that there is a significant interaction between the factor of marital status (i.e., married or non-married) and participant sex (i.e., male or female) regarding well-being among a sample with n = 6 participants in each condition. A researcher decides to compare the difference in well-being between married men and women. The MSwithin treatments from the original two-factor analysis is MSwithin treatments = 1.00. What is the F-ratio for this comparison using the matrix below, which depicts descriptive statistics regarding married participants? __________________________________________________________________________________________ Participant Sex Males Females __________________________________________________________________ n = 6 n = 6 N = 12 M = 4…A 2017 study of 10,478 Bangladesh children tracked the washing habits of the children's mothers via random survey to understand the relationship of these habits with childhood wasting. The data provided include responses from mothers to two items in this survey. The first variable represents a household's access to food: food secure, mildly food insecure, moderately food insecure, or severely food insecure. The second variable represents the mothers' responses when asked whether they use soap when washing clothes. These researchers wish to study if there is a relationship between washing habits and food security. Assuming all conditions for the chi-squared test of independence were met (which may or may not be true), what is the P-value and conclusion of the test? Did not use soap Food secure 921 Used soap 5591 Mildly food 81 insecure 200 Moderately 89 203 food insecure Severely 825 2568 Food insecureA researcher assesses work ethic among college students using a self-report questionnaire. Moreover, the researcher tracks how many hours students seek out extra support at the tutoring center and with their professors on campus during the semester. The researcher determines that there is a significant positive relationship between self-reported work ethic and the number of hours students seek out extra support at the tutoring center and with their professors during the semester. This demonstrates how correlations can be used to demonstrate _____.