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Transcript
```Blood Chemistry Project #3
1. The reference interval for HDL cholesterol is 35 to 150 mg/dL. Use this information to confirm the mean and
standard deviation provided for this blood component.
Midpoint:
35 +150
2
Range:
150 – 35 = 115
Range Rule of Thumb:
115
4
=
185
2
= 92.5
= 28.75
As you can see in the calculation of the midpoint above, the given HDL mean that is provided in the table
matches this calculation perfectly. Therefore, this a good estimate for Abby to use. The same holds true for the
calculation of the range rule of thumb, or called the absolute deviation in the table.
2. Using Abby’s criteria and the means and standard deviations provided in her blood test report, determine
which blood components should be a cause of concern for Abby. Write up a summary report of your findings.
Be sure to include a discussion concerning your assumptions and any limitations to your conclusions.
I calculated the z-score for each “Blood Test Component” using the numbers “Standard Mean,” “Abby’s Absolute
Deviation,” and “Result” in the chart below. Then using the z-score, I found the cumulative area to obtain the
percentage. The calculations are shown on the next page.
White Blood Cell Count:
5.3−7.25
1.625
−1.95
1.625
Red Blood Cell Count:
4.62−4.85
0.375
Hemoglobin:
14.6−14.75
1.125
Hematocrit:
41.7−43.0
3.5
=
−1.3
3.5
Glucose, Serum:
95.0−87.0
11.0
=
8
11.0
=
= −1.2
−0.23
0.375
=
= −0.61
−0.15
1.125
=
= −0.13
= .1151 =11.5%
= .2709 = 27.1%
= .4483 = 44.8%
= −0.37
= .3557 = 35.6%
= 0.73
= .7673= 23.3%
P(Z > 0.73) = 1 - 0.7673 = .2327
Creatine, Serum:
0.8−1.0
0.25
−0.2
0.25
Sodium, Serum:
143.0−141.5
3.25
=
=
= −0.8
= .2119 = 21.2%
1.5
3.25
= .6772= 32.3%
= 0.46
P(Z > 0.46) = 1 – 0.6772 = .3228
Potassium, Serum:
5.1−4.5
0.5
0.6
0.5
=
= 1.2
= .8849 = 11.5%
P(Z > 1.2) = 1 – 0.8849 = 0.1151
Chloride, Serum:
100.0−102.5
3.25
−2.5
3.25
Carbon Dioxide, Total:
25.0−26.0
3.0
=
−1
3.0
Calcium, Serum:
10.1−9.55
0.525
=
0.55
0.525
=
= −0.77
= −0.33
= 1.05
= .2206 = 22.1%
= .3707 = 37.1%
= .8531 = 14.7%
P(Z > 1.05) = 1 – 0.8531 = 0.1469
Total Cholesterol:
253.0−149.5
24.75
=
−0.15
24.75
= 4.18
= .9999 = 0.01%
P(Z > 4.18) = 1 - 0.9999 = 0.0001
Triglycerides:
150.0−99.5
49.75
50.5
49.75
=
= 1.02
= .8461 = 15.4%
P(Z > 1.02) = 1 – 0.8461 = 0.1539
HDL Cholesterol:
42.0−92.5
28.75
LDL Cholesterol:
181.0−64.5
32.25
=
LDL/HDL Ratio:
4.3−1.8
0.72
2.5
0.72
=
=
−50.5
28.75
= −1.76
116.5
32.25
= −3.61
= 3.47
= .0392 = 3.9%
= .0001 = 0.01%
= .9997 = 0.03%
P(Z > 3.47) = 1 – 0.9997= 0.0003
TSH, Serum:
3.15−2.925
1.2875
=
0.225
1.2875
= 0.18
P(Z > 0.18) = 1 - 0.5714 = 0.4286
= .5714 = 42.9%
Based on Abby's criteria she should be concerned about total cholesterol, LDL cholesterol, and her LDL/HDL
cholesterol. Each had a probability that fell below her 0.025 criteria. The majority of her blood readings are high
above her standard and she should not be concerned about them. Although the 0.025 seems a low standard to
set she can be assured that the results that fall below the .025 will be outside of the normal standard two
deviations from the mean. and can be more assured that her results are unusual. Her extra work may have
helped to save her health in the long run. Cholesterol problems can place individuals at a higher risk of stroke
and heart disease. She can now go back to her doctor with her finding and express her specific concerns over
the result of her blood work.
```
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