6:51A AProblem set final.d...Answer the following problems:Problem 1. In building an arena, steel bars with mean ultimate tensile strength of 400Megapascal (PMa) with variance of 81 MPa delivered by the manufacturer. Theproject engineer tested 50 steel bars and found out that the mean ultimatetensile strength is 390 MPa. The decision for the extension of the contract withthe manufacturer depends on the engineer. Test the hypothesis whether or notthere is no significant difference between the two means using two-tailed testwith a=0.01. (You may use manual computation or through SPSS using syntax)a. Identify what are given in the problem.b. Formulate the Null and Alternate hypothesisc. What is the test statistic to be used and the reasons for its selection?d. What is the critical value c?e. What is the value of the test statistic or the computed value?f. Formulate a conclusion about the given situation.For Problems #2-5 Use SPSS and place your output in PDF format then answer what iscalled for in each of the problem.Problem 2. You would like to measure the effect of the color green on job satisfaction.You ask one group of employees to work in an office that has been paintedgreen. You ask a second group of employees to work in an office that is notpainted green. Each participant participates in only one condition of theexperiment. After one week, you ask all employees to rate how satisfied theyare with their job on a scale from 1 to 10. The following are theresults. Analyze these results using the appropriate type of t-test. Use a=5%and a two tailed test.Condition 1: Walls painted greenParticipant 1 = 9Participant 2 = 8Participant 3 = 10Participant 4 = 10Participant 5 = 7Condition 2: Walls not paintedParticipant 1 = 5Participant 2 = 3Participant 3 =2Participant 4 = 1Participant 5 = 4a. State the Null and Alternate hypothesisb. What is g=?c. Determine your degrees of freedom.d. What is the critical value?e. What is the computed test statistic and the p-value?f. Formulate your decision.Problem 3. A teacher wishes to find out if the E-learning teaching method is more effectivethan the traditional lecture method. For each of the teaching method, 15students of approximately equal intelligence were selected to be part of thestudy. After two months of conducting the two methods to the selectedstudents, a 30-item test was given to them to assess their performance. Thescores of the students are shown in the table below.Students 1 2Proposed 30 28 29 20 18 19 16 27 22 24 26 28 30 2Existing 25 27 20 30 16 21 15 25 28 21 | 19 17 18| 3|45| 79| 10 11 12 13 14 !Is the E-learning teaching method more effective than the traditional method? Usand use a one-tailed test.a. State the Null and Alternate hypothesisb. What is a=?

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Answered: Problem 1. In building an arena, steel…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.6 and 5.3, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? You may need to use the appropriate technology to answer this question. Use a = 0.10. State the null and alternative hypotheses. Ho: 0, + 0,2 2 02 2 %D 2 Hoi 01 2 02 2 Ha: 01 2 > 02 Ho: 01 2 > 02 2 2 Ha: 02 2 2 Ho: 01 02 Ha: 01 + 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value %3D State your conclusion. Reject Ho. We can conclude that there is a difference between the population variances. Reject Ho. We cannot…
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The standard error of most sample estimators approaches zero as the sample size increases, so almost any difference between the sample statistic and the hypothesized parameter value, no matter how tiny, will be significant if the sample size is large enough. Researchers who deal with large samples must expect “significant” effects, even when an effect is too slight to have any practical importance. Is an improvement of 0.2 mpg in fuel economy important to Toyota buyers? Is a 0.5 percent loss of market share important to Hertz? Is a laptop battery life increase of 15 minutes important to Dell customers? Such questions depend not so much on statistics as on a cost/benefit calculation. Since resources are always scarce, a dollar spent on a quality improvement always has an opportunity cost (the foregone alternative). If we spend money to make a certain product improvement, then some other project may have to be shelved. Since we can’t do everything, we must ask whether a proposed product…
2. In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two - tailed with a = 0.01.
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A professor claims that the final exam grades are more widely dispersed in Principles classes compared to upper-level classes. In a sample of 101 Principles final exams, the standard deviation is 16 while in a sample of 30 upper-level class final exams the standard deviation is 13. Test the hypothesis at the 10% level of significance that the 2 variances are different. Write all formulas and hypothesis.
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