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1. For each scenario, which statistical procedure is most appropriate (one sample mean, one sample proportion, two independent proportions, two independent means, two paired/dependent means, one-way ANOVA, chi-square test of independence)? Explain why. (24 points) A. The honors college at one large university wants to know if their accepted students have an average IQ that is higher than the known national average of 100. B. A team of World Campus advisors wants to know if there is a relationship in the population of all World Campus STAT200 students between using Penn State Learning's free online tutoring services and passing STAT200. C. A group of political science students wants to know if there is a relationship between whether someone is registered to vote or not and their level of education. They take a sample of 200 people and ask if they are registered to vote (yes or no) and ask for their level of education (no college degree, college degree). D. A preschool teacher wants to know if four-year-old boys and girls differ in terms of whether or not they like superheroes. He takes a representative sample of 30 preschool students, records each child's gender, and asks if they like superheroes (yes/no). E. Food scientists want to know if there is a relationship between whether or not a child likes licorice and whether or not the child's mother likes licorice. They take a sample of 50 child-mother pairs and ask each individual if they like licorice (yes/no). F. A team of sleep scientists wants to know if there is a relationship between biological sex and whether or not an individual has sleep apnea. They take a sample of 500 individuals and record their biological sex (male/female) and if they have sleep apnea (yes/no). G. An admissions counselor at a technical college wants to know if there is a relationship between gender (man/woman) and students' intended major area (computer science, automotive mechanics, culinary arts, cosmetology). H. A group of psychology students wants to compare the anxiety levels of test takers who are given a dog, cat, or teddy bear to pet. They take a sample of 120 introductory psychology students. Participants are randomly assigned to one of the three treatment conditions (dog, cat, teddy bear). After the testing sessions the experimenters administer an anxiety survey to each participant. Scores on the anxiety scale are quantitative. 2. According to https://espn.go.com/college-football/team/fpi/_/id/213/penn-state-nittany-lions (as of November 3, 2015) the probability that Penn State will win the football game against Michigan is 39.4%. The probability that Penn State will win the football game against Michigan State is 23.0%. (16 points) A. What are the odds that Penn State will beat Michigan? B. What are the odds that Penn State will beat Michigan State? C. What is the odds ratio for Penn State beating Michigan compared to beating Michigan State? D. How would you explain the odds ratio that you calculated in part C to a friend with no knowledge of statistics?
Serious worker injuries at a steel fabricating company average 2 per year. How many serious injuries would you expect next year?
Supposing that the entire $10,000 can be spent on tires (ignoring other costs), and that the true fraction that will fail is approximately .05, can NHTSA attain its goal while staying within the budget? Describe.
The Weyerhauser Lumber Company headquartered in Tacoma, Washington, is one of the largest timber and wood product companies in the world. Weyerhauser manufactures plywood at one of its Oregon plants.
a rangefinder is used to measure the distance of a ridge from a lookout point. the average of 12 readings is 2215 ft.
A group of young businesswomen wish to open a high fashion boutique in a vacant store, but only if the average income of households in the area is at least $25,00.A random sample of 9 households showed the following results:
What is the relationship between confidence intervals and hypothesis testing? How are they the same? How are they different?
The following data represents the running time of films produced by 2 motion picture companies. Assume these are independent samples
assume that the average annual salary for a worker in the united states is 32500 and that the annual salaries for
consider the experiment of drawing two cards from a shuffled deck and then getting them back where success is now
The response variable is the change in cholesterol level after two months of treatment. An analysis of variance will be used to compare the three treatments. What null hypothesis is tested by this ANOVA F-test?
The central university has a student population of 60000. The university is interested in determining what proportion of them is in favour of a new grading system.
Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance α using the given sample statistics.
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