part 2 project math 309Cs

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Auburn University *

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195

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Statistics

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Apr 3, 2024

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docx

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Module 5: Part II See Tracking Calendar. Employee ID Gende r Ethnicity Pay Rate Ag e Satisfactio n 1 M White 23000 35 4 2 F Hispanic 25654 39 4.2 3 F Asian 35698 41 4.4 4 M African America n 44000 42 4.3 5 F African America n 78000 45 2.8 6 F African America n 65000 32 4.9 7 M African America n 44000 21 3.5 8 F White 32000 25 3.6 9 M White 31000 26 4.1 10 F Hispanic 28500 28 4.75 11 M Hispanic 55000 29 3 12 F Hispanic 65000 33 3.6 13 F Asian 75000 35 3.9 14 F White 82000 36 4.5 15 F Asian 81000 37 3.2 16 F African America n 45000 44 2.1 17 F African America n 32500 54 5 18 M African America n 41500 61 1 19 F White 55980 67 3.8 20 F Hispanic 62500 31 4.2 1. If you conduct a survey and there is a 40% chance of selecting someone who will complete the survey, what is the probability of selecting someone who will not complete the survey? Make sure to show your calculations for full credit. 60% did not complete the survey Use the data from Table 1 above to answer Questions 9- 14.
2. You want to randomly select two employee surveys to review. If you randomly select two employee surveys with replacement , what is probability of selecting 3 males? Make sure to show your calculations for full credit. 6/20 * 6/20 = 0.09 If you randomly select two employee surveys without replacement , what is the probability of selecting 3 males? Make sure to show your calculations for full credit. 6/20 * 5/19= 0.08 3. What is the probability of randomly selecting an employee survey that is female and hispanic? Make sure to show your calculations for full credit. 4/20 4. You create a distribution of payrate of our employees. Compute the mean and standard deviation. What is the z-score for a pay rate of 51000? Make sure to show your calculations for full credit. 50116.6-51000/19479.7647 = z score z = -0.045349623755979 5. In 2-3 sentences, explain what this z score tells us. 6. You want to determine which factors are associated with Payrate. Create a scatterplot of Payrate and Employee Satisfaction in Excel. Paste your graph below. Make sure your graph has a proper title and axes labels. Find the correlation coefficient of Payrate and Employee Satisfaction. Paste your correlation coefficient below. Interpret the direction and strength of the correlation coefficient in 2-3 sentences.
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