Statistics Review

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Submitted By deanxloukas
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Pages 4
Math 221 **** Example Format ****
Week 6 Lab

Submitted by: (Insert Name)

Part 1. Normal Distributions and Birth Weights in America

1(a) 37 to 39 weeks as mean is around 7.33 lb.
1(b) 40 weeks as mean is around 7.72 lb.
1(c) 28 to 31 weeks as mean is 4.07 lb.

2(a) 99.88%, Excel command used was NORMDIST(5.5,1.88,1.19,TRUE).
2(b) 43.83%
2(c) 4.66%
2(d) 2.75%

3(a) Above 8.7269, Excel command used was NORMINV(0.9,7.33,1.09).
3(b) Above 9.0853

4(a) 41.41%, Excel command used was NORMDIST(9,5.73,1.48,TRUE)-NORMDIST(6,5.73,1.48,TRUE).
4(b) 82.61%
4(c) 81.56%

5(a) 88.36%, Excel command used was NORMDIST(3.3,1.88,1.19,TRUE)
5(b) 5.03%
5(c) 0.01%

Part 2. Age Distribution in the United States

1. 36.48
2. 36.21, Excel command used Average(). It is almost the same as the mean age in the United States. It agrees with the central limit theorem as it states that population mean should be equal to sample mean.
3. No, because histogram is not bell shaped.
4.
Maximum value = 44.72
Minimum value = 28.14
Class width = (44.72-28.14)/9 = 1.85(after rounding up)

Class Frequency relative frequency
28.14 - 29.99 1 2.8%
29.99 - 31.84 3 8.3%
31.84 - 33.69 3 8.3%
33.69 - 35.54 7 19.4%
35.54 - 37.39 11 30.6%
37.39 - 39.24 5 13.9%
39.24 - 41.09 3 8.3%
41.09 - 42.94 2 5.6%
42.94 - 44.79 1 2.8% 36 1

We can note that histogram is bell shaped and symmetric. It agrees with the results predicted by the Central Limit Theorem which states that for “large” samples, the sampling distribution is approximately normal.

5. Standard deviation of the set of 36 sample means = 3.551804

Population standard deviation = 22.57

Sample standard deviation = = 3.57

Since both the values are very close so it agrees with the result predicted by the Central Limit Theorem.

Part…...

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