Below is a graph that depicts new born baby weights from data taken from the CDC. low birth weight: less than 5 pounds, 8 ounces Baby Birth Weights in the U.S.* 8.8 2= 7.b average weight: 6 pounds, 9 ounces-7 pounds, 11 ounces "according to a 2017 CDC report. 2= When we convert the weights to a single unit (ounces) we get: . Very low birth weight is less than 54.4 ounces. • Low birth weight between 54.4 ounces and 88 ounces. . Mean birth weight is between 103 and 123 ounces. very low birth weight: less than 3.4 pounds We will fix the mean birth rate to be 114 ounces (or 7 pounds 2 ounces) with standard deviation 11.2 ounces (or 0.7 pounds) and note that the distribution of weights for newborn babies in a hospital is approximately normally distributed. (a) What is the percentile of babies with low birth weight? (b) What is the percentile of babies with mean birth rate (between 103 and 123 ounces) (c) What is the percentile of babies with very low birth weight? (d) Suppose your friend just had her first baby whose birth weight is 97 ounces (6 pounds 1 ounce), calculate the percentile weight for your friend's new-born baby. Hint: To compute these values, you will need to use the following formula: (x-μ) σ 1.8 where o 11.2 ounces and = Use the table below to find out the percentile range of your computed z-score. For example, if your computed z-score were -0.710 then the percentile would be between 22.5% and 25%. 114 ounces and x is the birth weight in ounces. Worked example: If the mean is 114 ounces and the standard deviation is 11.2 ounces, and a baby weighs 118 ounces at birth, then the computed z-score is given by = (118-114) 0.357 (rounded to three decimal places) 11.2 Hence the baby's weight at birth would be between the 62.5 and 65 percentiles.
Below is a graph that depicts new born baby weights from data taken from the CDC. low birth weight: less than 5 pounds, 8 ounces Baby Birth Weights in the U.S.* 8.8 2= 7.b average weight: 6 pounds, 9 ounces-7 pounds, 11 ounces "according to a 2017 CDC report. 2= When we convert the weights to a single unit (ounces) we get: . Very low birth weight is less than 54.4 ounces. • Low birth weight between 54.4 ounces and 88 ounces. . Mean birth weight is between 103 and 123 ounces. very low birth weight: less than 3.4 pounds We will fix the mean birth rate to be 114 ounces (or 7 pounds 2 ounces) with standard deviation 11.2 ounces (or 0.7 pounds) and note that the distribution of weights for newborn babies in a hospital is approximately normally distributed. (a) What is the percentile of babies with low birth weight? (b) What is the percentile of babies with mean birth rate (between 103 and 123 ounces) (c) What is the percentile of babies with very low birth weight? (d) Suppose your friend just had her first baby whose birth weight is 97 ounces (6 pounds 1 ounce), calculate the percentile weight for your friend's new-born baby. Hint: To compute these values, you will need to use the following formula: (x-μ) σ 1.8 where o 11.2 ounces and = Use the table below to find out the percentile range of your computed z-score. For example, if your computed z-score were -0.710 then the percentile would be between 22.5% and 25%. 114 ounces and x is the birth weight in ounces. Worked example: If the mean is 114 ounces and the standard deviation is 11.2 ounces, and a baby weighs 118 ounces at birth, then the computed z-score is given by = (118-114) 0.357 (rounded to three decimal places) 11.2 Hence the baby's weight at birth would be between the 62.5 and 65 percentiles.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 1RP
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I need help with this statistic question.
Transcribed Image Text:Below is a graph that depicts new born baby weights from data taken from the CDC.
low birth weight:
less than 5 pounds, 8 ounces
Baby Birth Weights in the U.S.*
8.8
2 =
7.6
average weight:
6 pounds, 9 ounces-7 pounds, 11 ounces
2=
"according to a 2017 CDC report.
When we convert the weights to a single unit (ounces) we get:
. Very low birth weight is less than 54.4 ounces.
• Low birth weight between 54.4 ounces and 88 ounces.
. Mean birth weight is between 103 and 123 ounces.
very low birth weight:
less than 3.4 pounds
We will fix the mean birth rate to be 114 ounces (or 7 pounds 2 ounces) with standard deviation 11.2 ounces (or 0.7 pounds)
and note that the distribution of weights for newborn babies in a hospital is approximately normally distributed.
(a) What is the percentile of babies with low birth weight?
(b) What is the percentile of babies with mean birth rate (between 103 and 123 ounces)
(c) What is the percentile of babies with very low birth weight?
(d) Suppose your friend just had her first baby whose birth weight is 97 ounces (6 pounds 1 ounce), calculate the percentile
weight for your friend's new-born baby.
Hint: To compute these values, you will need to use the following formula:
(x-μ)
σ
where o = 11.2 ounces and μ = 114 ounces and x is the birth weight in ounces.
re. For example, if your
Use the table below to find out the percentile range of your computed z-s
-0.710 then the percentile would be between 22.5% and 25%.
Worked example:
If the mean is 114 ounces and the standard deviation is 11.2 ounces, and a baby weighs 118 ounces at birth, then
the computed z-score is given by
(118 - 114)
11.2
Hence the baby's weight at birth would be between the 62.5 and 65 percentiles.
= 0.357 (rounded to three decimal places)
puted z-score were
Transcribed Image Text:For Z-scores greater than 0.841 just report the percentile is greater than 80.
For z-scores less than -2.807 just report the percentile is less than 0.25
Percentile
Percentile
(for
(for
example
example
the 50th
the 50th
percentile)
percentile)
30
77.5
75
72.5
70
67.5
65
52.5
60
57.5
55
52.5
50
47.5
45
42.5
40
37.5
Z-
score
0.841
0.755
0.674 30
0.598
27.5
0.524
25
0.454 22.5
0.385
20
0.319 17.5
0.253 15
0.189 12.5
0.126 10
0.063 7.5
0
35
32.5
52
-0.063 2.5
-0.126 1
-0.189 0.75
-0.253 0.5
-0.319 0.25
Z-
score
-0.385
-0.454
-0.524
-0.598
-0.674
-0.755
-0.842
-0.935
-1.036
-1.150
-1.282
-1.440
-1.645
-1.960
-2.326
-2.432
-2.576
-2.807
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