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 = 0.05.Summary Statistics:Work Study 13.1693Co-opInternshipANOVA Table:SourceMean Standard DeviationWithinTotal14.738815.441Between 36.3088SSdf96.765 48Work Study vs. Co-op0.6288Co-op vs. Internship1.540160.4562 46 1.3143Work Study vs. Internship0.2019MSFSample Size15242 18.1544 13.813 2.0E-510Perform 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.Test Statistic Adjusted P-value Statistically significant difference?P-value???

Given information for Workshop study: The sample size is n1=15. The sample standard deviation is…

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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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.
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?
The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (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 12.854 Co-op Internship ANOVA Table: Source Mean Standard Deviation Within Total 14.51 15.424 SS df 132.542 48 0.5487 Work Study vs. Co-op 1.8888 88.0834 46 1.9149 Work Study vs. Internship Co-op vs. Internship 0.449 MS Between 44.4586 2 22.2293 11.6086 8.3E-5 F -3.636 Sample Size Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Hint: Make sure to use Bonferroni's adjustment. -4.549 15 -1.755 24 10 P-value Test Statistic Adjusted P-value Statistically significant difference? 0.002 0.000…
The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.01. Summary Statistics: Work Study 13.1813 Co-op 15.0517 Internship ANOVA Table: Source Between Within Mean Total 15.447 SS 42.1802 Standard Deviation df Work Study vs. Co-op 114.3338 48 Co-op vs. Internship 0.6592 1.6674 72.1536 46 1.5686 Work Study vs. Internship 0.4859 MS F Sample Size 15 24 2 21.0901 13.4452 2.5E-5 10 Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant difference? P-value ? ? ?
A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis of variance used with those three types of cookies. Use a 0.05 significance level to test the claim that the three different types of cookies have the same mean number of chocolate chips. ANOVA table Source ns on Viewer Error Total DF SS MS F-Stat P-value 2 1235.5500 617.77500 62.2790 <0.0001 77 763.80000 9.9194805 79 1999.3500 Ho: H₁ H₂ H3 Determine the alternative hypothesis. H₁: At least one of the means is different from the others Determine the test statistic. The test statistic is 62.28. (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.)
The effects of two catalysts on the mean yield of a chemical process are being investigated.A test is conducted in the pilot plant, yielding the data reported in Table 1. Is there anydifference between the mean yields from the two catalyst at the 5% significance level?Assume the two population variances are equal.
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
Scientists measured the amount of drug in tablets produced at two different, independent sites. Scientists want to know whether there is any difference between the mean drug concentration in tablets produced at Site 1 and Site 2. Run the appropriate test in Excel, assuming the population variances are equal. Use an a = .05 significance level. Submit the...
Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters? The data below show the number of volunteer hours worked for twelve randomly selected fraternity brothers and thirteen randomly selected sorority sisters. Brothers: 12 12 12 14 10 Sisters: 8 6 7 2 5 4 Assume both follow a Normal distribution. What can be concluded at the a = 0.10 level of significance level of significance? For this study, we should use t-test for the difference between two independent population means Ho: H₁: μ1 μ1 b. The test statistic t a. The null and alternative hypotheses would be: c. The p-value = 0.0015 d. The p-value is ≤ ✓ = 2 a 4 12 5 3 4 13 7 5 7 7666 μ2 μ2 (please enter a decimal) (Please enter a decimal) 3.592 X (please show your answer to 3 decimal places.) X (Please show your answer to 4 decimal places.)
(a) Using the information above, part of the ANOVA table is: Source of variation Sum of squares Region I error II Find the values of (round off to two decimal points) (1) I (11) II
The summary statistics below are prices of three types of men's shoes: Dress: size = 7 ; mean = 106 and standard deviation = 73 %3D Casual: size = 5; mean = 97 and standard deviation = 23 %3D Mocassins: size = 4; mean = 73 and standard deviation =13. Can Bonferroni method be used at a 0.05 significance level to test the claim that the population means for Dress shoes and Casual shoes are significantly different? Justify your answer. 5:39 pm

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