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valuating the effects of a new profit-sharing program on workers productivity. Random selection of 10, number of counter parts per day by eqch worker before and after program.  Is worker productivity significantly higher after the intro to profit sharing pla? Set alpha=.05  A. State the null abd the research hypothesisB. Identify the critical values of z or t used to define the decision ruleC. Calculate the test statisticD. Report the p-valueE. Report your findings

valuating the effects of a new profit-sharing program on workers productivity. Random selection of 10, number of counter parts per day by eqch worker before and after program.  Is worker productivity significantly higher after the intro to profit sharing pla? Set alpha=.05  A. State the null abd the research hypothesisB. Identify the critical values of z or t used to define the decision ruleC. Calculate the test statisticD. Report the p-valueE. Report your findings

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Evaluating the effects of a new profit-sharing program on workers productivity. Random selection of 10, number of counter parts per day by eqch worker before and after program.  Is worker productivity significantly higher after the intro to profit sharing pla? Set alpha=.05 

A. State the null abd the research hypothesisB. Identify the critical values of z or t used to define the decision ruleC. Calculate the test statisticD. Report the p-valueE. Report your findings 

 

### Evaluating the Impact of a Profit-Sharing Program on Worker Productivity #### Introduction An industrial sociologist is interested in evaluating the effects of a new profit-sharing program on workers' productivity at a computer manufacturing factory. The study involves examining 10 workers to determine the number of computer parts produced per day before and after the program's implementation. The data obtained aims to assess whether the productivity has significantly increased. #### Productivity Data | Worker | Productivity **Before** Program | Productivity **After** Program | |--------|---------------------------------|-------------------------------| | 1 | 80 | 85 | | 2 | 82 | 79 | | 3 | 79 | 78 | | 4 | 78 | 80 | | 5 | 85 | 81 | | 6 | 102 | 108 | | 7 | 68 | 76 | | 8 | 66 | 69 | | 9 | 71 | 78 | | 10 | 76 | 74 | #### Research Tasks 1. **State the null and research hypotheses:** - The **null hypothesis (H₀)** posits that the introduction of the profit-sharing program has no effect on worker productivity. - The **research hypothesis (H₁)** asserts that the introduction of the profit-sharing program has a positive effect on worker productivity. 2. **Identify the critical values of z or t used to "define the decision rule":** - Typically, the choice of critical values depends on the significance level (alpha) and whether a one-tailed or two-tailed test is appropriate. For example, for a two-tailed test with a significance level of 0.05, the critical t-values can be found using a t-distribution table corresponding to the degrees of freedom (df = n - 1, where n is the sample size). 3. **Calculate the test statistic:** - To test the hypothesis, the appropriate test statistic needs to be calculated. This typically involves computing the mean and standard deviation of the differences in productivity before and after the program, followed by applying a paired t-test formula. Here, \( d_i \) represents the difference for worker i (\( d_i = \text{Productivity After} - \text{Productivity Before
Transcribed Image Text:### Evaluating the Impact of a Profit-Sharing Program on Worker Productivity #### Introduction An industrial sociologist is interested in evaluating the effects of a new profit-sharing program on workers' productivity at a computer manufacturing factory. The study involves examining 10 workers to determine the number of computer parts produced per day before and after the program's implementation. The data obtained aims to assess whether the productivity has significantly increased. #### Productivity Data | Worker | Productivity **Before** Program | Productivity **After** Program | |--------|---------------------------------|-------------------------------| | 1 | 80 | 85 | | 2 | 82 | 79 | | 3 | 79 | 78 | | 4 | 78 | 80 | | 5 | 85 | 81 | | 6 | 102 | 108 | | 7 | 68 | 76 | | 8 | 66 | 69 | | 9 | 71 | 78 | | 10 | 76 | 74 | #### Research Tasks 1. **State the null and research hypotheses:** - The **null hypothesis (H₀)** posits that the introduction of the profit-sharing program has no effect on worker productivity. - The **research hypothesis (H₁)** asserts that the introduction of the profit-sharing program has a positive effect on worker productivity. 2. **Identify the critical values of z or t used to "define the decision rule":** - Typically, the choice of critical values depends on the significance level (alpha) and whether a one-tailed or two-tailed test is appropriate. For example, for a two-tailed test with a significance level of 0.05, the critical t-values can be found using a t-distribution table corresponding to the degrees of freedom (df = n - 1, where n is the sample size). 3. **Calculate the test statistic:** - To test the hypothesis, the appropriate test statistic needs to be calculated. This typically involves computing the mean and standard deviation of the differences in productivity before and after the program, followed by applying a paired t-test formula. Here, \( d_i \) represents the difference for worker i (\( d_i = \text{Productivity After} - \text{Productivity Before
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