Expert answer:I need help with a statistics problem
Answer & Explanation:Using 300 employees as the population for this study, we can
find the annual salary and the training program status for each individual by
referring to the firm’s personnel records. The data set containing this
information for all 300 employees in the population is in the data file named
PERSONNEL.
NOTE: You need to use EXCEL to do the following. Please do
not copy and paste for I want to see the functions you used.
1 (a) Draw a histogram for the annual salary of all the
300 employees (assumed to be a population).
(b) Find the average,
variance and the standard deviation for the annual salary of all the 300
hundred
employees
2 (a) Draw a histogram for those who completed the
training program out of the 300 people.
(b) Find the
proportion, variance and the standard deviation for those who completed the
training
program
out of the 300 people.
3. Select 20 random samples, out of the annual salary of 300
employees, where each sample has ten
observations
using the SAMPLING function in EXCEL (We discussed this in class).
4. Using the samples in step 3, below each sample, compute
the sample average, sample variance and
sample standard
deviation, using annual salary. Next line, compute the average of the sample
averages, variances
and the standard deviations.
5. Repeat step 3 for those who completed the training
program. (HINT: To take random samples from
those who completed the training, please
use If Statement to change ‘Yes’ to 1 and ‘No’ to 0. Thus the
samples consist of 1s and 0s.)
6. Using the samples in step 5, below each sample, compute
the sample proportion, sample variance
and the sample
standard deviation. Compute the average of the sample proportions, the
sample variances
and the sample standard deviations.
7. Draw a histogram of the 20 sample averages. Compare
this graph with the result of step 1 (a).
8. Draw also a graph of the 20 sample proportions.
Compare this graph with the result of step 2 (a).
9. Compare the
results of step 1 (b) with step 4.
10. Compare the
results of step 2 (b) with step 6.
11. What did you learn
out of this project?
personnel.xls2015_fa_case_ii_1_.doc
personnel.xls
2015_fa_case_ii_1_.doc
Unformatted Attachment Preview
Manager
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40
Annual
Salary
55769.50
50823.00
48408.20
49787.50
52801.60
51767.70
58346.60
46670.20
50246.80
51255.00
52546.60
49512.50
51753.00
53547.10
48052.20
44652.50
51764.90
45187.80
49867.50
53706.30
52039.50
52973.60
53372.50
54592.00
55738.10
52975.10
52386.20
51051.60
52095.60
44956.50
51968.10
52245.20
52614.70
55339.40
50113.40
55392.80
49558.00
53062.60
46940.10
50131.20
Training
Program
No
Yes
No
No
Yes
No
Yes
No
Yes
No
No
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
No
No
Yes
No
Yes
Yes
Yes
Yes
No
41
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82
57279.20
55295.90
46482.10
54276.00
49879.60
43754.70
56117.20
50487.80
46833.50
49285.50
48523.40
49782.20
54854.70
44457.10
52475.50
50135.50
52496.60
50237.80
45433.40
52725.40
45356.80
49569.50
54164.80
51673.10
57655.80
59978.60
48689.10
51009.40
54400.40
50792.00
51384.10
53665.50
49149.80
49958.20
59026.40
52097.10
56918.00
52042.60
48331.10
55276.50
51477.10
52034.90
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
No
Yes
Yes
No
No
No
Yes
No
No
Yes
Yes
Yes
No
No
No
Yes
Yes
No
No
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
83
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124
46150.00
52030.90
54049.30
44834.90
49082.80
58829.10
51814.20
51036.00
48712.00
52264.00
51738.90
59284.60
49793.10
54155.40
51657.80
48522.10
50788.80
48806.20
49144.10
46089.70
49129.50
52304.10
48568.50
51357.60
51694.80
52755.50
54594.70
54975.40
57995.70
52210.80
51960.50
50911.60
42638.00
55591.20
57856.00
50879.80
42104.00
51754.50
55069.40
47560.80
43364.50
56716.60
No
Yes
No
No
No
Yes
Yes
No
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
No
No
No
Yes
Yes
Yes
Yes
No
No
No
No
No
Yes
125
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164
165
166
50105.60
48537.60
44119.60
55179.30
51949.80
51548.90
44406.70
54034.40
48968.80
41198.80
56366.50
55670.20
48555.60
50141.90
58609.40
48242.70
47254.80
63538.70
51759.10
52707.50
44647.90
60036.20
53166.20
57582.70
51618.50
58639.70
58058.30
59098.20
56035.80
46858.80
52658.70
58154.60
53872.00
46943.30
46718.40
56740.90
49943.80
50374.50
60859.10
52306.90
46572.20
49134.10
No
No
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
No
Yes
No
No
Yes
No
Yes
Yes
No
Yes
167
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204
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206
207
208
52935.30
55796.70
47988.50
53467.40
58382.90
44924.30
52927.40
47648.10
51553.80
44715.40
49221.10
51362.20
55109.70
49402.20
53576.00
51858.90
49589.60
58070.40
52461.90
55504.70
47434.60
45891.30
56954.90
59049.00
59496.10
50602.60
57737.20
48368.30
46951.10
47911.10
48789.50
46739.20
55186.30
50296.00
48565.50
59115.40
44606.40
48398.50
55479.30
59126.40
47787.90
56565.60
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
No
No
No
No
Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
No
No
No
No
No
No
No
Yes
209
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250
46062.10
53635.30
51012.90
57657.60
50484.90
55286.20
52949.00
52689.00
56300.90
52184.50
53014.90
47212.10
55170.30
47047.00
45365.80
54838.60
50190.00
52185.50
53055.90
52183.90
48565.00
51368.10
51173.20
54164.80
60893.10
47129.30
59355.20
52722.20
53509.00
54897.00
47616.20
48161.40
48117.30
58127.60
57115.60
46174.30
42905.30
58035.30
56412.90
49187.70
53492.00
56233.10
No
Yes
No
Yes
No
No
Yes
Yes
No
Yes
No
No
Yes
Yes
No
No
No
Yes
Yes
No
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
Yes
No
Yes
No
Yes
No
Yes
251
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290
291
292
41556.10
57114.20
44355.10
54880.70
49139.50
58246.10
57790.80
53581.40
59564.50
50705.30
44348.10
54644.10
45022.80
55690.00
53637.00
56642.80
50385.60
53307.60
54857.60
60683.20
52211.10
56803.20
53643.40
43031.30
52247.40
45297.50
45401.50
51564.70
44435.40
52351.00
54489.90
56986.60
50458.60
54220.40
56749.30
43257.00
54314.00
55962.70
50625.10
58371.50
46201.70
52192.50
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
Yes
No
No
Yes
No
No
Yes
Yes
No
Yes
Yes
Yes
Yes
No
Yes
Yes
No
Yes
Yes
Yes
No
No
Yes
293
294
295
296
297
298
299
300
54662.80
45130.30
55008.70
52836.60
50811.70
53036.30
48574.90
53427.00
Yes
No
Yes
No
No
Yes
No
No
CASE II
MGSC 239 FA2015
DUE:
12/07/2015 NO LATER THAN 6:00 P.M.
Using 300 employees as the population for this study, we can find the annual salary and the training
program status for each individual by referring to the firm’s personnel records. The data set containing
this information for all 300 employees in the population is in the data file named PERSONNEL.
NOTE: You need to use EXCEL to do the following. Please do not copy and paste for I want to see the
functions you used.
1 (a) Draw a histogram for the annual salary of all the 300 employees (assumed to be a population).
(b) Find the average, variance and the standard deviation for the annual salary of all the 300 hundred
employees
2 (a) Draw a histogram for those who completed the training program out of the 300 people.
(b) Find the proportion, variance and the standard deviation for those who completed the training
program out of the 300 people.
3. Select 20 random samples, out of the annual salary of 300 employees, where each sample has ten
observations using the SAMPLING function in EXCEL (We discussed this in class).
4. Using the samples in step 3, below each sample, compute the sample average, sample variance and
sample standard deviation, using annual salary. Next line, compute the average of the sample
averages, variances and the standard deviations.
5. Repeat step 3 for those who completed the training program. (HINT: To take random samples from
those who completed the training, please use If Statement to change ‘Yes’ to 1 and ‘No’ to 0. Thus the
samples consist of 1s and 0s.)
6. Using the samples in step 5, below each sample, compute the sample proportion, sample variance
and the sample standard deviation. Compute the average of the sample proportions, the
sample variances and the sample standard deviations.
7. Draw a histogram of the 20 sample averages. Compare this graph with the result of step 1 (a).
8. Draw also a graph of the 20 sample proportions. Compare this graph with the result of step 2 (a).
9. Compare the results of step 1 (b) with step 4.
10. Compare the results of step 2 (b) with step 6.
11. What did you learn out of this project?
NOTE: Please note that it has to be done as a group. No group changes. One submission per group,
please.
GOOD LUCK
…
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