The following three independent random samples are obtained from three normally distributed populationswith equal variances. The dependent variable is starting hourly wage, and the groups are the types ofposition (work study, co-op, internship).Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10.Summary Statistics:Work Study 12.854Co-opInternshipANOVA Table:SourceMean Standard DeviationWithinTotal14.5115.424SSdf132.542 480.5487Work Study vs. Co-op1.888888.0834 46 1.9149Work Study vs. InternshipCo-op vs. Internship0.449MSBetween 44.4586 2 22.2293 11.6086 8.3E-5F-3.636Sample SizePerform a Bonferroni test to see which means are significantly different. Round your answers to threedecimal places, and round any interim calculations to four decimal places.Hint: Make sure to use Bonferroni's adjustment.-4.54915-1.7552410P-valueTest Statistic Adjusted P-value Statistically significant difference?0.0020.0000.258 XYes ✓Yes VNo ✓

Given Information: Consider the given output that shows the summary statistics and ANOVA results of…

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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The accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There interaction between gender and age. H₁: There interaction between gender and age. What is the value of the test statistic for this test? O B. Ho: The row values are from populations with the same standard deviation. H₁: At least one of the rows is sampled from a population with a standard deviation different from the others. F= (Round to two decimal places as needed.) What is the corresponding P-value of the test statistic, F, for this test? P-value = (Round to three decimal places as needed.) State the conclusion of this test. Ho. There sufficient evidence to warrant rejection of the claim that pulse rates are not affected by an interaction between gender and age. There State the null and alternative…
A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed that the population variance for each group is equal and that earnings follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the claim. Job Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Earnings 31 34 33 26 21 33 30 36 27 27 34 37 36 23 30 39 46 41 36 50 30 44 43 44 46 54 65 30 39 52 37 41 45 60 60 31 49 45 45 What is the factor variable? Top-Paid Job Type What is the response variable? Earnings Test Statistic: 15.2043 X P-Value: 0.0000✓ O…
A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank's claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. Local Bank (n = 46, avg wait time x = 2.3, sample standard deviation s = 1.1) Competitor Bank (n = 50, avg wait time x = 2.6, sample standard deviation s = 1.0) Are the samples dependent or independent? State your Null/Alternative hypotheses What is the test - statistic? What is the p-value? What are the critical values? Does the test - statistic lie in the rejection region? Interpret the Result? Does the result change for a different value of alpha? Explain? FORMULAS to get answers MUST BE SHOWN with figures
Under what conditions should you use the pooled-variance t test to examine possible differences in the means of two independent populations?
The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The cost for a sample of 9 cars, in hundreds of dollars, is provided below. 10, 6, 8, 10, 5, 3.5, 7.5, 7,9.5 Find interquartile range for mileage data and value of variance.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.4 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 280 engines and the mean pressure was 7.5 pounds/square inch. Assume the variance is known to be 0.81. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothesis. Make a decision. Answer O Reject Null Hypothesis O Fail to Reject Null Hypothesis Tables: Keypad Keyboard Shortcut
A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank’s claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. 1. Identify what they are given and what they need to find; 2. Identify the type of problem they have been given and the tools necessary to solve the problem; 3. Correctly apply the tools to the information given to set up the problem; 4. Perform mathematically correct calculations to determine a solution; 5. Interpret their results in terms of the original problem.
The number of complaints filed in the last month has been studied to verify customer dissatisfaction across the fast food establishments of one multinational company with locations in the United States and Mexico. A random sample of independent observations of establishments in each country is taken from which we know that: SAmple Mean Sample Size Quasi-variance USA 5.2 25 12 Mexico 6.4 30 7
A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank's claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. Sample statistics for a local bank and a competitor's bank Local Bank Competitor Bank Sample size n1 = 46 n2 = 50 Average waiting time in minutes for each sample X, = 2.3 mins. X2 = 2.6 Sample Standard Deviation of each Sample = 1.1 mins 1.0 mins. S1 S2 1. Are the samples dependent or independent? 2. State your Null/Alternative hypotheses 3. What is the test-statistic? 4. What is the p-value? 5. What are the critical values? 6. Does the test-statistic lie in the rejection region? 7. Interpret the Result? Does the result change for a different value of alpha? Explain?
Seven acute schizophrenics and 10 chronic schizophrenics have been measured on a clarity of thinking scale. The mean for the acute sample was 52, with s = 12, and the mean for the chronic sample was 44, with s = 11. Perform a pooled-variance t test with alpha = .05 (two-tailed), and state your statistical conclusion.
A study has been made to compare the nicotine contents of two brands of cigarettes. Ten cigarettes of Brand A had an average nicotine content of 4.3 milligrams with a standard deviation of 0.6 milligram. Eight cigarettes of Brand B had an average nicotine content of 3 milligrams with a standard deviation of 0.4 milligram. Assume that the two sets of data are independent random samples from normal populations with equal variances. Answer the following, and round off your answer to three decimal places. (a) Find a pooled estimate of the population standard deviation. (b) Construct a 95% confidence interval for the difference between the mean nicotine contents of the two brands of cigarettes. (☐☐)
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.

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