Question

QUESTION 1 Consider the following sample information: Sample A: 47 53 39 44 45 Sample B: 44 53 42 46 43 46 Sample C: 52 45 45 50 Sample D: 49 48 46 42 42 The average value for Sample B is: (round to two decimal places) QUESTION 2 What is the value of the F ratio? Path:

Answer 1

Sample A: 47 53 39 44 45

Sample B: 44 53 42 46 43 46

Sample C: 52 45 45 50

Sample D: 49 48 46 42 42

[44.0, 53.0, 42.0, 46.0, 43.0, 46.0]
[42.0, 43.0, 44.0, 46.0, 46.0, 53.0]
X X-mean (X-mean)^2
44.0 | -1.6667 | 2.7779
53.0 | 7.3333 | 53.7773
42.0 | -3.6667 | 13.4447
46.0 | 0.3333 | 0.1111
43.0 | -2.6667 | 7.1113
46.0 | 0.3333 | 0.1111
Since we know that
$Mean(\bar{x}) = \frac{\sum_{i=1}^n x_i}{n}$
Where n is the number of data points
Now
$\sum_{i=1}^n x_i = 274.0$
and n = 6
This implies that
$\\Mean(\bar{x}) = \frac{274.0}{6} \\Mean(\bar{x}) = 45.6667$
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