9.135 Kicking the cigarette habit. Can taking an antidep drug help cigarette smokers kick their habit? The New England Journal of Medicine (Oct. 23, 1997) published a study in which 615 smokers (all of whom wanted to give up smoking) were randomly assigned to receive either Zyban
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- Before the semester began, Professor Keithley predicted that 15% of hisphilosophy students would receive an A, 30% a B, 40% a C, 10% a D, and 5%an F. At the end of the semester, 14 of Professor Keithley’s philosophy studentsearned an A, 19 a B, 12 a C, 5 a D, and 2 an F.Use the Chi-Square test and a 0.05 level of significance to determine if ProfessorKeithley’s predicted percentages were accurate. (State your null and alternativehypothesis, find the critical values and test statistics, make a decision, and writea conclusion based on your results).An article in The Engineer ("Redesign for Suspect Wiring." June 1990) reported the results of an investigation into wiring errors on commercial transport aircraft that may produce faulty information to the flight crew. Such a wiring error may have been responsible for the crash of a British Midland Airways aircraft in January 1989 by causing the pilot to shut down the wrong engine. Of 1600 randomly selected aircraft, eight were found to have wiring errors that could display incorrect information to the flight crew. (a) Find a 99% confidence interval on the proportion of aircraft that have such wiring errors. Round your answers to 4 decimal places. Sps (b) Suppose we use the information in this example to provide a preliminary estimate of p. How large a sample would be required to produce an estimate of p that we are 99% confident differs from the true value by at most 0.009? Round your answer up to the nearest integer. n = (c) Suppose we did not have a preliminary estimate of p. How…6.39 Largest private companies. IPOs-initial public offerings of stock-create billions of dollars of new wealth for owners, PRIVCO managers, and employees of companies that were previously privately owned. Nevertheless, hundreds of large and thou- sands of small companies remain privately owned. The reve- nues of a random sample of 15 firms from Forbes 228 Largest Private Companies list are given in the table (next page). Company Staples Pilot Flying J Tenaska Energy Wawa Gulf States Toyota Brookshire Grocery Sinclair Oil Bose Mary Kay Drummond Petco SAS Forever 21 Rock Ventures Conair Revenue (in billions) $14.0 29.0 11.9 12.1 9.2 2.5 5.0 3.9 3.6 2.0 4.0 3.3 2.7 6.7 2.0 Source: Data from "America's Largest Private Companies," Forbes, December 17, 2019. a. Describe the population from which the random sam- ple was drawn. b. Use a 98% confidence interval to estimate the mean revenue of the population of companies in question. e. Interpret your confidence interval in the context of the…
- 2. 90 male volunteers are randomly assigned to three different treatment programs designed to produce a weight loss by focusing on either diet, exercise, or the modification of eating behaviour. Weight changes were recorded, to the nearest pound, for all participants who completed the two-month experiment. Positive scores signify a weight drop; negative scores, a weight gain (in kg). Diet Exercise Modification of eating behaviour 9.07 -0.15 7.44 2.12 -4.98 8.53 6.65 8.31 10.48 9.14 -9.99 -9.08 8.03 -9.96 4.62 -1.09 0.18 5.33 9.03 11.04 -7.84 12.03 12.04 9.89 8.43 10.12 9.00 10.51 7.17 7.55 0.15 2.18 8.63 8.91 6.38 6.70 8.63 10.86 12.30 11.02 14.44 8.94 6.07 0.43 2.70 0.11 11.16 9.03 9.99 -5.05 9.86 11.73 11.42 8.49 10.05 10.40 2.52 0.68 1.39 -2.19 9.13 10.31 6.83 12.68 9.43 10.24 11.42 11.97 9.98 -9.11 -1.28 4.51 -4.10 -0.98 | 12.03 9.67 8.67 5.93 4.58 3.39 -3.02 0.48 | 9.10 9.52 8.75 10.61 2.22 0.13 11.33 11.76 a. Develop a box-plot graph for the above data. Write the interpretation…According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. The same college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is different than the national proportion of .37. Use the statistic provided for her college above for your test. A. Define the null and alternative hypotheses to test this claim. B. By hand, calculate the test statistic for this test. C. Use…A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpires in calling balls and strikes. The article is based on data collected by MLB over eleven seasons (2008-2018). This study shows that it is common for umpires to make incorrect calls more than 20% of the time. An average game has about 300 pitches where the umpire has to make a decision. Assume that we take a random sample of 300 of the 4 million ball/strike calls in the database. Our analysis of a new sample yielded a Z test statistic of 2.17 for this one-sided test to the right. The p-value is = .015. Make a decision on this hypothesis test using a 5% level of significance and state the reason for your decision. O Reject the null hypothesis since the p-value is .01
- A 2012 article in the New England Journal reports the results of a randomized trial to assess the association between regular usage of asthma medication prior to turning 18 years old, and height at age 18 years. As per the authors, "From December 1993 through September 1995, we randomly assigned 1041 children between the ages of 5 and 13 years with mild-to-moderate asthma to one of three study groups in the double-blind, placebo-controlled CAMP trial." (reference: Kelly H, et al. Effect of Inhaled Glucocorticoids in Childhood on Adult Height. New England of Medicine (2012). 367 (10)) The random assignment groups were Budesonide, Nedocromil and placebo. The following graphic shows the distribution of female and male participant heights at different times in the study follow-up, presented for the Budesonide and placebo samples. A Unadjusted Height Distribution 200 I Budesonide I Placebo 190 180- 170- 160- 150- 140- 130- 120- 110- 100- 0- Trial entry 2 Yr Trial end Adult Trial entry 2 Yr…The Personnel Manager of a large corporation believes that regular physical exercise leads to a lower resting pulse rate (and so healthier staff). Data was collected on resting pulse rate and whether or not people exercised regularly for a random sample of 22 employees of the corporation. The results are given below. Exercise regularly Do not exercise regularly 72 62 72 60 63 75 64 60 52 64 80 68 64 84 66 72 62 84 76 60 78 84 (a) Formulate appropriate hypotheses to test if the average resting pulse rate is lower in employees who regularly exercise compared with those who do not. (b) Perform a parametric test of the above hypotheses and draw conclusions based on the P-value of the test. (c) Perform a non-parametric test to analyze the same data. (d) State all underlying assumptions for the tests in parts (b) and (e) and comment on the similarities/differences in the outcomes of the tests.10.3.15-T In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 20 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x= 8.03 cm and s =0.8 cm°. Conduct the appropriate test at the a= 0.01 level of significance. Ho: = 9.02 H1:p < 9.02 (Type integers or decimals. Do not round.) Identify the t-statistic. to = - 5.53 (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)
- PM Wed Nov 3 Stats Home Insert Draw View 8). Studies have shown that drivers who use cell phones while operating a motor passenger vehicle increase their risk of an accident. To quantify this risk, the New England Journal of Medicine (January 2, 2014) reported on the risk of a crash (or near crash) for both novice and expert drivers when using a cell phone. In a sample of 371 cases of novices using a cell phone while driving, 24 resulted in a crash (or near crash). In a sample of 1,467 cases of experts using a cell phone while driving. 67 resulted in a crash (or near crash). a). Find a 93% confidence interval for p, the true crash risk (probability) for novice drivers, also indicating the ME value. Answer: ME = b). Find a 93% confidence interval for p, the true crash risk (probability) for expert drivers, also indicating the ME value. Answer: гр, ME =3.86 Guilt in decision making. Refer to the Journal of Behavioral Decision Making (Jan. 2007) study of the ef- fect of guilt emotion on how a decision maker focuses on the problem, Exercise 3.59 (p. 142). The results (number responding in each category) for the 171 study participants are reproduced in the accompanying table. Suppose one of the 171 participants is selected at random. Choose Stated Option Emotional State Guilt 45 Anger 8 Neutral 7 Totals 60 Do Not Choose Stated Option Totals 1842 57 50 58 49 56 111 171 Based on Gangemi, A., and Mancini, F. "Guilt and focusing in decision-making." Journal of Behavioral Decision Making, Vol. 20, Jan. 2007 (Table 2). a. Given the respondent is assigned to the guilty state, what is the probability that the respondent chooses the stated option? b. If the respondent does not choose to repair the car, what is the probability of the respondent being in the anger state? c. Are the events {repair the car} and {guilty state} independent?The paper "An analysis of Job Sharing, Full-Time, and Part-Time Arrangements" (Amer. Business Review (1989): 34-40) reported on a study of hospital employment from three different groups. Each employee reported a level of satisfaction with his or her work schedule (1=very dissatisfied to 7 =very satisfied), as shown in the accompanying table. Group 1. Job sharers 2. Full-time employees 3. Part-time employees Sample Size Sample mean 24 24 20 6.60 5.37 5.20 (a). What model will you use for modelling this data set? Write down the corresponding model equation. What are numerator and denominator df's for the F test? (b). The test statistic value is F = 6.62. Use a test with significance level .05 to decide whether is plausible that true average satisfaction levels are identical for the three groups.