The following three independent random samples are obtained from three normallydistributed populations with equal variance. The dependent variable is starting hourly wage,and the groups are the types of position (internship, co-op, work study).Group 2: Co-op Group 3: Work StudyGroup 1: Internship1010.511.25119.2510.259.7513.2510.512.510.510.75Use technology to conduct a one-factor ANOVA to determine if the group means are equalusing a = 0.01.Group means (report to 2 decimal places):Group 1: Internship:Group 2: Co-op:Group 3: Work Study:ANOVA summary statistics:F-ratio =(report accurate to 3 decimal places)12.2510.510.7511.51010.5р(report accurate to 4 decimal places)Conclusion:© The sample data suggest the average starting hourly wages are not the same.O There is not sufficient data to conclude the starting wages are different for thedifferent groups.

Given information: Group 1: Internship Group 1: Co-op Group 1: Work Study 10 10.5 12.25 11.25…

Answered: The following three independent random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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M13 Assignment, Q5 - F-Distribution and One-Way ANOVA
Suppose a researcher studied sleeping patterns in second-, fourth-, and sixth-grade children, and there were 7 students in each group, showing sleep periods in minutes below. Grade 2nd 4th 6th 580 525 562 570 575 532 594 497 565 543 478 537 552 517 525 506 455 493 537 532 490 Mean minutes participants slept 562.57 527.00 505.43 Suppose the researcher found significant ANOVA test result: the observed F statistic is 7.14 at alpha= .05 level, and the researcher made the decision to reject the null hypothesis. Finish up the ANOVA test with your interpretation in terms of the research question (you do not need to perform the test, just provide interpretation based the information available). Your interpretation: Given MSerror= 41, conduct the Tukey’s HSD post-hoc test to determine which groups differed significantly from one another. Include your calculation work, and show each comparison and state the outcome of each…
An amusement park conducted an internal audit on the wait times of its customers for the park's rides during a summer weekend. The audit found that the wait times of customers for the Shooting Star ride had a population mean of 31.2 minutes with a population variance of 6.3 minutes The park's head executive has doubts about the audit's findings concerning the Shooting Star ride. He hires an inspector to check these findings. On a summer weekend, the inspector takes a sample of 12 people at random waiting in line for the Shooting Star. She records their wait times and finds that the sample mean is 33.1 minutes and the sample variance is 4.8 minutes 2 Fill in the blanks below with the proper notation for the population mean, the population variance, and the sample variance. 66°F Cloudy Population mean: (Choose one) = 31.2 minutes X Population variance: (Choose one) = 6.3 minutes 2 Sample variance: (Choose one) 2 = 4.8 minutes Continue 3 W E 5. D DIL R Q Search 5 G 7 G Y U H 8 X C V B N M…
Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
Exercise on ANOVA 1. A dietition wanted to test three different diets to find out if the mean weight loss for each of these diets is the same. She randomly selected 21 overweight person, randomly divided them into three groups, and put each group on one of the three diets. The following table records the weights (In kg) loss by these persons after being on these diets for two months. Diet 1 Diet 2 Diet 3 15 11 9 8 16 17 17 9 11 7 16 8 26 24 15 12 20 6 8 19 14 a) We are to test if the mean weight lost by all persons on each of the three diets is the same. Write the null and alternative hypotheses. b) Show the rejection and nonrejection regions on the F distribution curve for a=0.025. c) Calculate SSB, SSW, and SST. d) What are the degrees of freedom for the numerator and denominator? e) Calculate the between-samples and within-samples variances. f) What is the critical value of F for α=0.025. g) What is the calculated value of the test statistic F? h) Write the ANOVA table for this…
In a one-way analysis of variance with three treatments, each with five measurements, in which a completely randomized design is used, what is the degrees of freedom for treatments? a. 5 b. 2 c. 4 d. 8
The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 1: Internship Group 2: Co-op Group 3: Work Study 13 11 15 13.75 13.5 16 8.5 12.75 11 13.5 13.5 15.25 15 13.25 16.25 12.5 14.75 15.5 14.75 13.75 15 13.75 13 15 Use your statistical software package to conduct a one-factor ANOVA to determine if the group means are equal using α=0.01. Though not specifically assessed here, you are encouraged to also test the assumptions, plot the group means, and interpret the results.Group means (report to 2 decimal places):Group 1: Internship: Group 2: Co-op: Group 3: Work Study: ANOVA summary statistics:F-ratio = _______ (report accurate to 3 decimal places)p=_________ (report accurate to 4 decimal places)
The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 1: Internship Group 2: Co-op Group 3: Work Study 10.75 12.5 8.5 9.75 10.25 12.5 11.5 13 15.25 10.75 14.25 14.5 11.25 10.5 14 10.5 11 15 13.75 12.75 11.75 11.5 12.5 15.75 11.75 12.75 12 13.25 13.75 14 12.75 14.25 12.25 Conduct a one-factor ANOVA to determine if the group means are equal using α=0.01α=0.01. Group means:Group 1 mean: Group 2 mean: Group 3 mean: ANOVA summary statistics:F-test statistic = p=p= Conclusion: The sample data suggests there is a correlation in the starting hourly wages. There is not sufficient data to conclude that at least one group's average starting hourly wage is different. The sample data suggests the starting hourly wages are dependent There is not…
In her book Red Ink Behaviors, Jean Hollands reports on the assessment of leading Silicon Valley companies regarding a manager's lost time due to inappropriate behavior of employees. Consider the following independent random variables. The first variable x1 measures manager's hours per week lost due to hot tempers, flaming e-mails, and general unproductive tensions. x1: 1 5 8 4 2 4 10 The variable x2 measures manager's hours per week lost due to disputes regarding technical workers' superior attitudes that their colleagues are "dumb and dispensable". x2: 8 5 2 5 9 4 10 3 Use a calculator with sample mean and sample standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to two decimal places.) x1 = s1 = x2 = s2 = What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.) (b) Find a…
Interaction a. What is an interaction between two factors? b. In general, when using two-way analysis of variance, if we find that there is an interaction effect, how does that affect the procedure? c. Shown below is an interaction graph constructed from the data in Exercise 1. What does the graph suggest?
A sample contains 61 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.05 significance level. A. 0.330 B. 0.236 C. 0.279 D. 0.254 ( don't hand writing solution)
Which outcome is expected if the null hypothesis is true for an analysis of variance? a. SSbetween should be about the same size as SStotal. b. SSbetween should be about the same size as SSwithin. c. MSbetween should be about the same size as MStotal. d. MSbetween should be about the same size as MSwithin.

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