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Problem 1. In building an arena, steel bars with mean ultimate tensile strength of 400 Megapascal (PMa) with variance of 81 MPa 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 or not there is no significant difference between the two means using two-tailed test with 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 hypothesis c. What is the test statistic to be used and the reasons for its selection? d. What is the critical value c?

Problem 1. In building an arena, steel bars with mean ultimate tensile strength of 400 Megapascal (PMa) with variance of 81 MPa 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 or not there is no significant difference between the two means using two-tailed test with 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 hypothesis c. What is the test statistic to be used and the reasons for its selection? d. What is the critical value c?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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6:51 A A Problem set final.d... Answer the following problems: Problem 1. In building an arena, steel bars with mean ultimate tensile strength of 400 Megapascal (PMa) with variance of 81 MPa 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 or not there is no significant difference between the two means using two-tailed test with 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 hypothesis c. 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 is called 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 painted green. You ask a second group of employees to work in an office that is not painted green. Each participant participates in only one condition of the experiment. After one week, you ask all employees to rate how satisfied they are with their job on a scale from 1 to 10. The following are the results. Analyze these results using the appropriate type of t-test. Use a=5% and a two tailed test. Condition 1: Walls painted green Participant 1 = 9 Participant 2 = 8 Participant 3 = 10 Participant 4 = 10 Participant 5 = 7 Condition 2: Walls not painted Participant 1 = 5 Participant 2 = 3 Participant 3 =2 Participant 4 = 1 Participant 5 = 4 a. State the Null and Alternate hypothesis b. 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 effective than the traditional lecture method. For each of the teaching method, 15 students of approximately equal intelligence were selected to be part of the study. After two months of conducting the two methods to the selected students, a 30-item test was given to them to assess their performance. The scores of the students are shown in the table below. Students 1 2 Proposed 30 28 29 20 18 19 16 27 22 24 26 28 30 2 Existing 25 27 20 30 16 21 15 25 28 21 | 19 17 18 | 3 |4 5 | 7 9 | 10 11 12 13 14 ! Is the E-learning teaching method more effective than the traditional method? Us and use a one-tailed test. a. State the Null and Alternate hypothesis b. What is a=?
Transcribed Image Text:6:51 A A Problem set final.d... Answer the following problems: Problem 1. In building an arena, steel bars with mean ultimate tensile strength of 400 Megapascal (PMa) with variance of 81 MPa 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 or not there is no significant difference between the two means using two-tailed test with 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 hypothesis c. 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 is called 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 painted green. You ask a second group of employees to work in an office that is not painted green. Each participant participates in only one condition of the experiment. After one week, you ask all employees to rate how satisfied they are with their job on a scale from 1 to 10. The following are the results. Analyze these results using the appropriate type of t-test. Use a=5% and a two tailed test. Condition 1: Walls painted green Participant 1 = 9 Participant 2 = 8 Participant 3 = 10 Participant 4 = 10 Participant 5 = 7 Condition 2: Walls not painted Participant 1 = 5 Participant 2 = 3 Participant 3 =2 Participant 4 = 1 Participant 5 = 4 a. State the Null and Alternate hypothesis b. 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 effective than the traditional lecture method. For each of the teaching method, 15 students of approximately equal intelligence were selected to be part of the study. After two months of conducting the two methods to the selected students, a 30-item test was given to them to assess their performance. The scores of the students are shown in the table below. Students 1 2 Proposed 30 28 29 20 18 19 16 27 22 24 26 28 30 2 Existing 25 27 20 30 16 21 15 25 28 21 | 19 17 18 | 3 |4 5 | 7 9 | 10 11 12 13 14 ! Is the E-learning teaching method more effective than the traditional method? Us and use a one-tailed test. a. State the Null and Alternate hypothesis b. What is a=?
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