Each group should select a dataset, Auto, College or Carseats, and run at least four models, noting does not have a significant F test, or at least not an overwhelmingly significant one. Run ANOVAS of model F tests if there are any. We'll conclude with each group presenting their work to the rest of us.
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- A recent study claims that using music in a class enhances concentration and consequently helps students absorb more information. A researcherdecided to test this claim on a smaller group of randomly selected students from three different classes. Each classroom was provided with a different environment for students to study. Classroom A had constant music being played in the background, classroom B had variable music being played and classroom C was a regular class with no music playing. After one month, the researcher conducted a test for all the three groups and ranked their scores. What statistical test would be most appropriate for testing the research hypothesis? Explain your answer.A developmental psychologist is studying bonding between healthy newborn babies and immediate family members. He wants to know if one-week-old infants use smell to recognize their fathers. To investigate, he selects a random sample of one-week-old infants. Each infant is presented with a garment worn by his or her father and two garments worn by unrelated men. The psychologist observes which garment each of the infants orients toward. The resulting data are summarized in the following table that shows the number of infants who oriented toward each of the three garments. What is are the degrees of freedom for this experiment? 4 3 1 2The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 120 users of the current system, the University finds that 65 say they like the current system. In another sample of 90 experimental users of the “new” system, the University finds that 70 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, the p-value is .2943; what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
- Two years ago the manager of a local supermarket that sells three national brands (brands A, B, and C) and one store brand (brand D) of orange juice found that brands A and C were equally preferred, 33% preferred brand B, and 27% preferred the store brand, D. Now, the manager thinks that there has been a change in customer preferences and that the preference for store-brand orange juice has increased and perhaps will positively contribute to increased profits. The results from a recent random sample of shoppers indicate the following preferences.Favorite brand A B C D (store brand)Number 56 70 28 126Has there been a change in customer preferences from the study 2 years ago?A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in this study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. ******In the sample, 6 of the 30 patients assigned to Brand A were found to have a cavity. The fraction 6/30 should be denoted by which of the following? μ x̄ p p̂ n s σ χ²A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in the study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. What method of data collection was used? Select one: a.Experiment b.Observational Study
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- An experiment to determine if a migraine medication decreases a person's average number of monthly migraines is performed on 400 people who report they have several migraines a month. Researchers randomly assigned 200 people to the treatment group and 200 people to the control group. After the study, the researchers determined that 48 of the subjects in the treatment group and 28 of the subjects in the control group average fewer migraines per month. The data from the two groups are resampled 150 times, and the table shows the distribution of the differences of the proportions for the reconfigured treatment and control groups.Consider the hypothetical case that there were only two brands of juice on the market, company A and company B. 52% of the population drinks juice from company A (it is not known whether these people consume only juice A or if they also consume juice B). 51% of the population drinks juice of company B (again, it is not known how many of these people drink only juice B or if they drink both juice). However, it is known that 21% of the population does not drink juice. Based on these data, we can estimate that the percentage of the population that drinks juice from both companies is: (choose only one): a) 36% b)37% c) 24% d)23% e)5.3%Consider the hypothetical case that there were only two brands of juice on the market, company A and company B. 52% of the population drinks juice from company A (it is not known whether these people consume only juice A or if they also consume juice B). 51% of the population drinks juice of company B (again, it is not known how many of these people drink only juice B or if they drink both juice). However, it is known that 21% of the population does not drink juice. Based on these data, we can estimate that the percentage of the population that drinks juice from both companies is: (choose only one) a) 56% b) 40% c) 22% d) 23% e) 34%