1. Blood alcohol concentrations of drivers involved in fatal crashes & then give
ID: 3439714 • Letter: 1
Question
1. Blood alcohol concentrations of drivers involved in fatal crashes & then given jail sentencs are listed below. Find the range & standard deviation.
0.25 0.18 0.18 0.16 0.13 0.23
0.31 0.23 0.14 0.16 0.11 0.16
Find the range R=______
Find the standard deviation S=______ (round to the nearest thousandth as needed)
2. Statistics students particiapted in an experiment to test their ability to determine when 1 min(60 secs) has passed. The results are given below in seconds. Find the range & standard deviation for the given sample data.
Range=________sec
sample standard deviation________sec (round to the nearest tenth as needed)
3. IQ scores are normally distributed w/a mean of 100 & standard deviation of 15 assume that many samples of size n are taken from a large population of people & the mean IQ score is computed for each sample.
A. If the sample size is n=49, find the mean & standard deviation of the distribution of sample mean.
-The mean of the distribution of sample mean is _______
-The standard deviation of the distribution of sample means is _______(*same as below)
B. If the sample size is n=169 find the mean & standard deviation of the distribution of sample means.
-The mean of the distribution of sample means is_____
-The standard deviation of the distribution of sample means is _____ (type an integer or decimal rounded to the nearest tenth as needed)
Explanation / Answer
The range is
range = max - min = 0.31 - 0.11 = 0.20 [ANSWER]
Getting the mean, X,
X = Sum(x) / n
Sum(x) = 2.24
Thus,
X = 0.186666667
Setting up tables,
x x - X (x - X)^2
0.25 0.063333333 0.004011111
0.18 -0.006666667 4.44444E-05
0.18 -0.006666667 4.44444E-05
0.16 -0.026666667 0.000711111
0.13 -0.056666667 0.003211111
0.23 0.043333333 0.001877778
0.31 0.123333333 0.015211111
0.23 0.043333333 0.001877778
0.14 -0.046666667 0.002177778
0.16 -0.026666667 0.000711111
0.11 -0.076666667 0.005877778
0.16 -0.026666667 0.000711111
Thus, Sum(x - X)^2 = 0.036466667
Thus, as
s^2 = Sum(x - X)^2 / (n - 1)
As n = 12
s^2 = 0.003315152
Thus,
s = 0.057577352 [ANSWER, STANDARD DEVIATION]
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