Chapter 8: Q73E (page 500)
Use Tables V, VI, VII, and VIII in Appendix D to find each of the following F-values
- \({F_{.05}}\;where\;{v_1} = 9\;and\,{v_2} = 6\)
Short Answer
- The F-value is 4.10.
Chapter 8: Q73E (page 500)
Use Tables V, VI, VII, and VIII in Appendix D to find each of the following F-values
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Get started for freeShared leadership in airplane crews. Refer to the Human Factors (March 2014) study of shared leadership by the cockpit and cabin crews of a commercial airplane, Exercise 8.14 (p. 466). Recall that each crew was rated as working either successfully or unsuccessfully as a team. Then, during a simulated flight, the number of leadership functions exhibited per minute was determined for each individual crew member. One objective was to compare the mean leadership scores for successful and unsuccessful teams. How many crew members would need to be sampled from successful and unsuccessful teams to estimate the difference in means to within .05 with 99% confidence? Assume you will sample twice as many members from successful teams as from unsuccessful teams. Also, assume that the variance of the leadership scores for both groups is approximately .04.
Service without a smile. “Service with a smile” is a slogan that many businesses adhere to. However, some jobs (e.g., judges, law enforcement officers, and pollsters) require neutrality when dealing with the public. An organization will typically provide “display rules” to guide employees on what emotions they should use when interacting with the public. A Journal of Applied Psychology (Vol. 96, 2011) study compared the results of surveys conducted using two different types of display rules: positive (requiring a strong display of positive emotions) and neutral (maintaining neutral emotions at all times). In this designed experiment, undergraduate students were randomly assigned to either a positive display rule conditionor a neutral display rule condition. Each participant was trained to conduct the survey using the display rules. As a manipulation check, the researchers asked each participant to rate, on a scale of = “strongly agree” to= “strongly disagree,” the statement, “This task requires me to be neutral in my expressions.”
a. If the manipulation of the participants was successful, which group should have the larger mean response? Explain.
b. The data for the study (simulated based on information provided in the journal article) are listed in the table above. Access the data and run an analysis to determine if the manipulation was successful. Conduct a test of hypothesis using .
c. What assumptions, if any, are required for the inference from the test to be valid?
The data is given below
Positive Display Rule: |
Neutral Display Rule: |
Homework assistance for accounting students. How much assistance should accounting professors provide students for completing homework? Is too much assistance counterproductive? These were some of the questions of interest in a Journal of Accounting Education (Vol. 25, 2007) article. A total of 75 junior-level accounting majors who were enrolled in Intermediate Financial Accounting participated in an experiment. All students took a pretest on a topic not covered in class; then, each was given a homework problem to solve on the same topic. However, the students were randomly assigned different levels of assistance on the homework. Some (20 students) were given the completed solution, some (25 students) were given check figures at various steps of the solution, and the rest (30 students) were given no help. After finishing the homework, each student was given a posttest on the subject. One of the variables of interest to the researchers was the knowledge gain (or test score improvement), measured as the difference between the posttest and pretest scores. The sample means knowledge gains for the three groups of students are provided in the table.
a. The researchers theorized that as the level of homework assistance increased, the test score improvement from pretest to post test would decrease. Do the sample means reported in the table support this theory?
b. What is the problem with using only the sample means to make inferences about the population mean knowledge gains for the three groups of students?
c. The researchers conducted a statistical test of the Hypothesis to compare the mean knowledge gain of students in the "no solutions" group with the mean knowledge gain of students in the "check figures" group. Based on the theory, part a sets up the null and alternative hypotheses for the test.
d. The observed significance level of the t-test of the part was reported as Using , interpret this result.
e. The researchers conducted a statistical test of the hypothesis to compare the mean knowledge gain of students in the "completed solutions" group with the mean knowledge gain of students in the "check figures" group. Based on the theory, part a sets up the null and alternative hypotheses for the test.
f. The observed significance level of the role="math" localid="1652694732458" -test of part e was reported as 1849. Using , interpret this result.
g. The researchers conducted a statistical test of the Hypothesis to compare the mean knowledge gain of students in the "no solutions" group with the mean knowledge gain of students in the "completed solutions" group. Based on the theory, part a sets up the null and alternative hypotheses for the test.
h. The observed significance level of the -test of the part was reported as Using role="math" localid="1652694677616" , interpret this result.
Given that xis a hypergeometric random variable, computefor each of the following cases:
a. N= 8, n= 5, r= 3, x= 2
b. N= 6, n= 2, r= 2, x= 2
c. N= 5, n= 4, r= 4, x= 3
Question: Find the following probabilities for the standard normal random variable z:
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