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# Stats project

Question # 00009884
Subject: Statistics
Due on: 03/31/2014
Posted On: 03/09/2014 10:51 AM

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Stats project

The Project

The infamous company, Canton & Associates, is in trouble again. The Deputy Director has just resigned in the midst of rumors going around the departments about discrimination, lawsuits, and even the company picnic has been canceled.

I would like to seek your help in putting together an Ad hoc Statistics Report to be submitted to the CEO so that he can make the appropriate corrective, proactive, and retroactive decisions for the troubled company. Review the issues following this report description, and then review the data listed in the table starting on page 11 that is to be applied to issues 1-9. I recommend that you use Excel to construct your histograms and tables and cut and paste them in your final Microsoft Word document.

Issue 1

Nine employees need to be chosen randomly to serve on the Grievance Board from the Employee Roster so that no one will say that we chose employees based on popularity. You may use any method, including with the aid of a random number table, to accomplish this task. However, you have to explain your method, whichever you choose to use.

Please list the employees ID# after selecting them.

Issue 2

Please complete the following two conditional probability tables. There have been complaints that there is skewness in certain departments as it relates to ethnicity and gender. It seems that certain supervisors are hiring only females or only Asians. Please complete this accurately so that the CEO can see if there are hiring trends in his agency.

Table I

 White Black Hispanic Asian Foreign Total Dept. 1 Dept. 2 Dept. 3 Dept. 4 Dept. 5 Total

Table II

 Female Male Total Black White Hispanic Asian Foreign Total

Issue 3

Please create a histogram for vacation hours for employees in Department 1, 3, and 5. Please exclude any vacation hours over 320 as a person cannot accumulate vacation over that amount.

After you have created this histogram, please indicate the distribution's shape.

Issue 4

Find the Mean weight for Departments 4 and 5 combined.

Find the Mean salary for Department 2.

Find Mean age for Department 1.

Find the Mean Placement Score (P. Score) for Department 3.

Issue 5

Find the standard deviation for the evaluation score (E. Score) of Department 5 and Department 2 separately.

The CEO is thinking about giving one of these department a \$1000 per person bonus. Based on their means and standard deviation, which department is doing better as it relates to this year's evaluation? Who should the bonus go to and why?

Issue 6

The Equal Opportunity Commission has cited Jordan & Associates with discrimination against Asian females and Hispanic females. They need to promote either an Asian female or an Hispanic female within the next month. Based on their evaluation scores (E. Score), find the corresponding z -score for each Asian and Hispanic female and make a decision on which person should be promoted. Please list them by their ID # based on the percentile.

Use s = 6.06 and m = 16.

Issue 7

Please refer to the conditional probability table or complete it first before attempting this assignment. The CEO has asked for a committee to be formed to approve and review promotions. Please list all your answers in percentages?

From Table 1, what is the probability of choosing an African American employee?

From Table 2, what is the probability of choosing an Asian female given all females?

From Table 1, what is the probability of choosing a White employee from Dept. 2 and then an Hispanic employee from Dept. 3?

From Table 2, what is the probability of choosing a Black male or Foreign male?

From Table 1, what is the probability of choosing a Foreigner or an Hispanic both from Department 5?

Issue 8

Find the evaluation score (E. Score) confidence intervals for the following two departments: Department 1 and Department 4 combined.

Find the confidence interval at the 95% level. Use s = 6.06 and .gif" alt="http://polaris.umuc.edu/~aau/stat200/week08/x-bar.gif"> = 17.625

Issue 9

We are about to order the annual summer picnic T-shirts. In the past, the mean employee weight is 210 lbs with an s = 67 lbs. Test H a > 210 at 0.05 significance level by combining the weights of departments 2, 3, and 4. If their mean weight is greater than 210, we need to order all extra large T-shirts. Please make a decision.

Use these data to answer the nine issues cited above.

Use these data to answer the nine issues cited above.

The Data

 ID # Dept. Ethnicity Gender Weight Age Salary (\$) Vacation Hrs. Absences E. Score P. Score 694 3 F F 252 18 69,380 300 16 24 94 261 3 W F 178 21 39,986 60 22 22 90 138 2 B F 132 21 40,000 138 34 15 86 222 2 B F 162 22 32,000 159 32 17 76 556 5 B M 219 24 31,000 120 70 19 98 300 1 W F 192 24 84,000 120 18 18 80 58 3 H F 110 25 12,775 60 0 14 94 169 1 W M 138 26 25,594 125 0 21 72 558 5 F M 220 27 22,000 85 7 16 87 765 4 F M 271 30 22,697 330 42 17 71 728 3 B F 270 30 97,424 60 16 22 65 901 2 W M 310 31 18,000 1292 40 15 71 611 5 W F 229 31 98,000 85 15 13 84 264 1 H F 189 31 67,089 125 81 20 70 128 2 B M 127 31 48,000 444 10 15 91 118 1 W M 126 31 37,328 85 61 25 84 101 2 A F 124 32 66,000 336 47 21 96 605 3 H F 226 34 27,082 60 24 10 76 945 5 W F 399 35 14,000 120 15 8 75 721 4 H M 255 35 31,466 64 9 18 80 852 1 F M 288 37 51,243 85 40 1 72 207 3 A F 159 37 54,101 300 49 15 79 811 5 W M 287 38 35,000 325 43 10 86 508 5 F M 217 38 17,000 300 45 7 77 927 4 W M 315 41 40,718 212 15 15 97 17 4 F F 97 41 83,331 534 28 11 88 421 5 H M 212 42 11,000 60 78 1 92 327 2 W F 204 43 214,000 317 90 23 74 507 4 W M 215 44 43,847 58 0 12 80 204 3 H M 151 46 80,712 150 34 12 80 325 3 B F 198 47 86,274 150 17 17 82 206 1 W F 155 47 15,544 85 85 18 94 333 2 H M 210 48 26,400 384 0 19 79 727 4 W M 262 51 15,155 156 0 19 81 496 2 B F 214 51 15,400 155 39 11 77 233 4 A M 174 53 29,050 151 0 25 76 971 1 F M 407 56 43,761 120 21 23 85 301 4 W M 195 59 73,582 564 110 23 97 877 1 A M 290 66 12,484 85 28 16 87 906 5 B F 314 73 91,000 325 12 22 73

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#### Stats project

Tutorial # 00009491
Posted On: 03/09/2014 10:53 AM
Posted By:
spqr
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10104
Tutorials:
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Attachments
AdHocStatReport_(1).docx (511.15 KB)
Preview: set xx 9 xxxxxxxxx can be xxxxxxxx from the xxxxxxxxx data xxx xxxx of xxxxxx numbers generated xxxxxx 29, 34, xxx 28, xxx xx 37, xxxxxxx there were xx duplicates, these xxxx values xxxx xx sufficient xx select the xxxx employees If xxxxx had xxxx xxxxxxxxx values, xxxx the duplicate xxxxx have been xxxxxxx over xxx xxx next xxxxxx from the xxxxxx number list xxxxx have xxxx xxxx The xxxxxxxx ID#’s of xxx selected employees xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx 2Please xxxxxxxx xxx following xxx conditional probability xxxxxx   There xxxx been xxxxxxxxxx xxxx there xx skewness in xxxxxxx departments as xx relates xx xxxxxxxxx and xxxxxx   It xxxxx that certain xxxxxxxxxxx are xxxxxx xxxx females xx only Asians xx Please complete xxxx accurately xx xxxx the xxx can see xx there are xxxxxx trends xx xxx agency xxxxxx Table I WhiteBlackHispanicAsianForeignTotalDept xxxxxxxxxxxxxxxxxxxxxxx 2 2 4 1 1 0 8Dept 3 1 2 3 1 1 8Dept xxxxxxxxxxxxxxxxxxxxxxx 5 3 2 1 0 2 8Total 148747 40    xxxxx xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx 3Please xxxxxx a histogram xxx vacation hours xxx employees xx xxxxxxxxxx 1, xx and 5 xx Please exclude xxx vacation xxxxx xxxx 320 xx a person xxxxxx accumulate vacation xxxx that xxxxxx xxxxx you xxxx created this xxxxxxxxxx please indicate xxx distribution's xxxxx xxxx distribution xx close to xxxxxxxx with each xx the xxxxx xxxx groups xxxxxx a frequency xx the 4-6 xxxxx There xx xxx group xx three that xxxxxx apart from xxx majority xx xxx distribution, xxxx 270-300 hours xx vacation time xxxxx 4    xxxx xxx Mean xxxxxx for Departments x and 5 xxxxxxxx The xxx xx the xxxxxxx for employees xx Departments 4 xxx 5 xx xxxx The.....
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