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- The accompanying data were read from a plot (and are a subset of the complete data set) given in an article. The data represent the mean response times for a group of individuals with closed-head injury (CHI) and a matched control group without head injury on 10 different tasks. Each observation was based on a different study, and used different subjects, so it is reasonable to assume that the observations are independent. y = Study 1 2 3 4 5 6 7 8 9 10 Mean Response Time CHI 302 492 658 684 922 1044 1421 1329 1481 1815 t = Control 250 360 475 (a) Fit a linear regression model that would allow you to predict the mean response time for those suffering a closed-head injury from the mean response time on the same task for individuals with no head injury. (Round your answers to four decimal places.) 525 610 740 880 920 1010 1200 (b) Do the sample data support the hypothesis that there is a useful linear relationship between the mean response time for individuals with no head injury and the…. Do patients with gastrointestinal issues experience more psychological distress than the general population? The DASS-21 questionnaire is a validated measure of depression, anxiety, and stress. For the general population, the mean for anxiety is µ = 4.2. Anxiety levels are calculated based on self-reported answers to questions on a scale from 0 through 42, with lower scores indicating lower anxiety. Participants with gastrointestinal issues (specifically inflammatory bowel disease, IBD) completed the DASS-21. Use the data presented below to determine whether having gastrointestinal issues like IBD significantly increases risk for anxiety. Test whether or not the performance of this sample is significantly higher than the normal population using the proper t-test. Here are the data: Anxiety scores: 12, 15, 10, 8, 10, 5, 10, 13, 4, 6 ANALYSES AND UNGRADED OPTIONAL GUIDING QUESTIONS: 1a. Identify the Indep.Variable:__ Dep.Variable:__ Is it the Hypothesis…Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain. (Let 1 = Linda's rats, 2 = Tuan's rats and 3 = Javier's rats.) Weights of Student Lab Rats Linda's rats Tuan's rats Javier's rats 43.0 46.9 51.1 38.5 40.1 40.4 40.7 38.4 37.1 45.8 45.7 44.8 37.8 43.6 47.7 Part (a) State the null hypothesis. H0: ?1 = ?2 = ?3 H0: At least two of the group means ?1, ?2, ?3 are not equal. Part (b) State the alternative hypothesis. Ha: ?1 = ?2 = ?3 Ha: At least two of the group means ?1, ?2, ?3 are not equal. Part (c) Enter an exact number as an…
- The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for areas near nuclear power plants are higher than for areas without nuclear facilities. A spokesperson for the Cancer Institute said, "From the data at hand, there was no convincing evidence of any increased risk of death from any of the cancers surveyed due to living near nuclear facilities." Let p denote the proportion of the population in areas near nuclear power plants who die of cancer during a given year. The researchers at the Cancer Institute have considered the null and alternative hypotheses below: А. Họ: p = value for areas without nuclear facilities Hạ: p> value for areas without nuclear facilities According to the spokesperson's statement, what is the conclusion of the National Cancer Institute? Select one of the following: Reject Ho Fail to reject Ho Reject Ha Fail to reject HaA 1-1 matched case-control study was conducted among office workers on the association between suffering chronic lower back pain and sitting at a PC. There were 118 cases (suffering from back pain), individually matched to controls (not suffering from back pain) on sex, age, and general exercise habits. The exposure was the amount of time spent at a PC. The data are in Table 1: Case > 4 hours/day 4 hours/day 18 13 <4 hours/day 25 62 Use a suitable test to test for no association between suffering chronic lower back pain and time spent sitting at a PC.(ii) The lecturer wishes to compare the average scores for Business Statistics between the accounting students and the finance students. He records the marks of a group of 8 students from each course in the following table. Student Accounting course Finance course 78 54 56 95 3 67 68 4 49 71 88 82 76 7 8 62 74 86 85 57 Test at 5% level of significance whether the average score for Business Statistics is different between accounting students and finance students.
- A test is being designed to compare the wearing quality of two brands of tires, say brand A and brand B. Six automobiles will be selected and equipped with the new tires from both brands and driven under normal conditions for 1 month. A measurement will be taken to determine how much wear took place on a scale from 0 to 200. Below is a table of the paired data collected from the 6 cars in the test. [BrandA BrandB] 125 64 64 65 94 103 38 37 90 102 106 115 Conduct a hypothesis test to determine whether the mean of the difference population is 0 at a significance level of a =. State your conclusion.(3) The table contains hypothetical data from a study that a bank conducted on the credit card balances of male and female credit card holders (credit cards owned by both men and women were left out of the study). Male Female Mean $3,550 $2,670 Median $2,175 $2,500 Std Dev $1,240 $825 a. What conclusions can we come to by comparing the medians of the males and females? b. What conclusions can we come to by comparing the standard deviations of the males and females? c. Notice that the mean and median of the males are fairly far apart while the mean and median of the females are not. What does this tell us about the credit card balances of the males vs the credit card balances of the females?(OPHTHALMOLOGY) The following data are from a study on Botox injections. Patients received a high-dose injection in one eye (experimental treatment = treatment E) and a low-dose injection in the other eye (control treatment = treatment C). Patients were asked to rate the level of pain in each eye on a 1–10 scale, with higher scores indicating more pain. The assignment of treatments to eyes was randomized. The subjects came back over several visits. Data from the last visit are given in the following table: 1. Which of the following is the correct test to conduct given the situation above? 2. The hypotheses are: 3. What is the level of significance? 4. What is the computed test statistic? Hint: Use (mean of "Pain in E eye") minus (mean of "Pain in C eye") 5. What is the correct decision based on the p-value or critical value method?
- The director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 338 No 317 349 287 What can be concluded at the a= 0.10 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: p1 p2 (please enter a decimal and note that p1 and μl represent the proportion and mean for women and p2 and 2 represent the proportion and mean for men.)You also conducted a review of the research literature and found that similar studies examining the relationship between alcohol consumption and liver cancer found the following: Smithson et al. RR 3.3 (95% CI:1.95-5.20) Ribera et al. RR 2.1 (95% CI:1.17-3.33) Gonzalez et al. RR 2.75 (95% CI 2.26-3.45) Which one of Hill’s criteria does this illustrate? Explain.