4. Make a graph the frequency distribution of the sample variances.5. Compute the mean of the sample variances and compare to the population variance. SAMPLESAMPLETRIALSAMPLESMEANVARIANCE178107.29.72167136.418.8324106.211.2446710117.68.35712137.821.7310121316.57147125.816.7835710137.615.8915.611137.223.21038136.219.7113710127.413.3121278115.817.7132106.49.314134114.814.21516811137.821.716247126.815.71715.1112138.426.818256.785.65.3191212137.230.7201567116131.Fill out the table below to create a frequency of distribution of the sample means.Where the value of the number of classes (k) is 4 and the value of the class size (c) is 2.Create a graph for the frequency distribution of the sample means, does the graphapproximate a normal distribution?CLASSESTRUE CLASS BOUNDARYFREQUENCY2.Calculate the mean of the sample means and the population mean. Do you notice anydifference or similarities?

Frequency Distribution: A frequency distribution is a visual or numerical depiction that shows the…

Answered: 4. Make a graph the frequency…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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4. Make a graph the frequency distribution of the sample variances. 5. Compute the mean of the sample variances and compare to the population variance.

SAMPLE
SAMPLE
TRIAL
SAMPLES
MEAN
VARIANCE
1
7
8
10
7.2
9.7
2
1
6
7
13
6.4
18.8
3
2
4
10
6.2
11.2
4
4
6
7
10
11
7.6
8.3
5
7
12
13
7.8
21.7
3
10
12
13
16.5
7
1
4
7
12
5.8
16.7
8
3
5
7
10
13
7.6
15.8
9
1
5.
6
11
13
7.2
23.2
10
3
8
13
6.2
19.7
11
3
7
10
12
7.4
13.3
12
1
2
7
8
11
5.8
17.7
13
2
10
6.4
9.3
14
1
3
4
11
4.8
14.2
15
1
6
8
11
13
7.8
21.7
16
2
4
7
12
6.8
15.7
17
1
5.
11
12
13
8.4
26.8
18
2
5
6.
7
8
5.6
5.3
19
1
2
12
13
7.2
30.7
20
1
5
6
7
11
6
13
1.
Fill out the table below to create a frequency of distribution of the sample means.
Where the value of the number of classes (k) is 4 and the value of the class size (c) is 2.
Create a graph for the frequency distribution of the sample means, does the graph
approximate a normal distribution?
CLASSES
TRUE CLASS BOUNDARY
FREQUENCY
2.Calculate the mean of the sample means and the population mean. Do you notice any
difference or similarities?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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