3. Given the following information, complete the tree diagram for a two-stage experiment with three outcomes X, Y, and Z in the first stage, and two outcomes a and b in the second stage: Pr[X] = 1/2, Pr[Xa] = 1/8, Pr[Xb) = 3/8, Pr[a|Y] = 1/4, Pr[b|Y] = 3/4, Pr[Ya] = 1/24, Pr[Yb) = 1/8, Pr[Za] = 1/6 %3D
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- Healthy men aged 21–35 were randomly assigned to one of two groups: half received 0.82 gram of alcohol per kilogram of body weight; half received a placebo. Participants were then given 30 minutes to read up to 34 pages of Tolstoy’s War and Peace (beginning at Chapter 1, with each page containing approximately 22 lines of text). Every two to four minutes, participants were prompted to indicate whether they were “zoning out.” The proportion of times participants indicated they were zoning out was recorded for each subject. The following table summarizes data on the proportion of episodes of zoning out. Group n S Alcohol 25 0.25 0.05 Placebo 25 0.12 0.03 Do we have evidence to claim that two groups have different means?You have been assigned to test the hypothesis that the average number of cars waiting in line for the drive-thru window during lunch hour differs between Chick-fil-A, Wendy's, and McDonald's. The following data show the number of cars in line during randomly selected times during the lunch hour at all three chains. Chick-fil-A(1) Wendy's(2) McDonald's(3) 7 7 6 10 8 7 11 5 6 8 3 7 9 2 9 Perform a one-way ANOVA using α = 0.05 to determine if a difference exists in the average number of cars waiting in line at the drive-thru during the lunch hour between these chains.ch 11 end. 7: In a bumper test, three test vehicles of each of three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end. The results are shown below. Research questions: Is the mean repair cost affected by crash type and/or vehicle type? Are the observed effects (if any) large enough to be of practical importance (as opposed to statistical significance)?
- The following data show the pattern of results that was obtained in a study by Liguori and Robinson (2001) examining how different levels of alcohol and caffeine consumption influenced response time in a simulated driving test. The means show the average response time in milliseconds for different combinations of alcohol and caffeine. Remember larger reaction time means someone is slower to respond. For these data, indicate which are true/false There is an interaction, caffeine has a larger impact on reaction times (makes people respond faster) when participants haven’t had alcohol) A. True B. FalseTable 2.12 comes from one of the first studies of the link between lung cancer and smoking, by Richard Doll and A. Bradford Hill. In 20 hospitals in London, UK, patients admitted with lung cancer in the previous year were queried about their smoking behavior. For each patient admitted, researchers studied the smoking behavior of a noncancer control patient at the same hospital of the same sex and within the same 5-year grouping on age. A smoker was defined as a person who had smoked at least one cigarette a day for at least a year. a) Identify the response variable, the explanatory variable and identify the type of study this was. B) Can you use these data to compare smokers with nonsmokers in terms of the proportion who suffered lung cancer? Why or why not? c)Summarize the association and explain how to interpret it.Can you please solve the question?
- (2.16) Table 2.12 comes from one of the first studies of the link between lung cancer and smoking, by Richard Doll and A. Bradford Hill. In 20 hospitals in London, UK, patients admitted with lung cancer in the previous year were queried about their smoking behavior. For each patient admitted, researchers studied the smoking behavior of a noncancer control patient at the same hospital of the same sex and within the same 5-year grouping on age. A smoker was defined as a person who had smoked at least one cigarette a day for at least a year. Table 2.12. Data for Problem 2.16 Cases 688 21 709 Lung Cancer Have Smoked Yes No Total Based on data reported in Table IV, R. Doll and A. B. Hill, Br. Med. J., 739-748, September 30, 1950. Controls 650 59 709 a) Identify the response variable and the explanatory variable. b) Identify the type of study this was. c) Can you use these data to compare smokers with nonsmokers in terms of the proportion who suffered lung cancer? Why or why not? d)…2. A researcher conducts a study examining the effectiveness of a group exercise program at an assisted living facility for elderly adults. One group of residents is selected to participate in the program, and a second group serves as a control. After 6 weeks, the researcher records a combined score measuring balance and strength for each individual. The data are as follows: Control n = 10 M = 12 SS = 120.5 Exercise n = 15 M = 15.5 SS = 190.0 Conduct the four steps for hypothesis testing and label a. Use a two-tailed test with a = .05. each step: Step1, Step 2, Step 3, and Step 4. b. Calculate Cohen's d. c. Are the data sufficient to conclude that thier is a significant difference? Write your answer in the form of a sentence.Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."
- #26). Both photos are the same problem.!.) Compute the predictive value positive and predictive value negative.Healthy men aged 21–35 were randomly assigned to one of two groups: half received 0.82 gram of alcohol per kilogram of body weight; half received a placebo. Participants were then given 30 minutes to read up to 34 pages of Tolstoy’s War and Peace (beginning at Chapter 1, with each page containing approximately 22 lines of text). Every two to four minutes, participants were prompted to indicate whether they were “zoning out.” The proportion of times participants indicated they were zoning out was recorded for each subject. The following table summarizes data on the proportion of episodes of zoning out. Group n S Alcohol 25 0.25 0.05 Placebo 25 0.12 0.03 Calculate a 95% confidence interval for the mean difference between Alcohol and placebo groups.