(a) Find the best point estimate of the population mean(b) Find the 95% and 99% confidence interval of the population mean and interpret results Sample MeanFrequency63.9163.95164.2164.25164.34164.6164.75164.8564.95265.15165.2165.35165.45165.55165.7165.75165.8165.9165.95166166.21 A. Set of PopulationHeightFrequency63.263.664164.8651661691B. Possible samples of size 4 and meanSampleMean63.2, 63.6, 64, 64.863.963.2, 63.6, 64, 6563.9563.2, 63.6, 64, 6664.263.2, 63.6, 64, 6964.9563.6, 64, 64.8, 6564.3563.6, 64, 64.8, 6664.663.6, 64, 64.8, 6965.3564, 64.8, 65, 6664.9564, 64.8, 65, 63.265.764, 64.8, 65, 6964.2564.8, 65, 66, 6966.264.8, 65, 66, 63.264.7564.8, 65, 66, 63.664.8565, 66, 69, 63.265.865, 66, 69, 63.665.965, 66, 69, 646666, 69, 63.2, 63.665.4566, 69, 63.2, 6465.5566, 69, 63.2, 64.865.7569, 63.2, 63.6, 6465.9569, 63.2, 63.6, 64.865.1569, 63.2, 63.6, 6565.2

Name: (a) Find the best point estimate of the population mean(b) Find the 95
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Description: (a) Find the best point estimate of the population mean(b) Find the 95% and 99% confidence interval of the population mean and interpret results Sample MeanFrequency63.9163.95164.2164.25164.34164.6164.75164.8564.95265.15165.2165.35165.45165.55165.716

Given: Population : 63. 2 63 .6 64 64.8 65 66 69

Answered: a) Find the best point estimate of the…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

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Question

(a) Find the best point estimate of the population mean

(b) Find the 95% and 99% confidence interval of the population mean and interpret results

Sample Mean
Frequency
63.9
1
63.95
1
64.2
1
64.25
1
64.34
1
64.6
1
64.75
1
64.85
64.95
2
65.15
1
65.2
1
65.35
1
65.45
1
65.55
1
65.7
1
65.75
1
65.8
1
65.9
1
65.95
1
66
1
66.2
1

A. Set of Population
Height
Frequency
63.2
63.6
64
1
64.8
65
1
66
1
69
1
B. Possible samples of size 4 and mean
Sample
Mean
63.2, 63.6, 64, 64.8
63.9
63.2, 63.6, 64, 65
63.95
63.2, 63.6, 64, 66
64.2
63.2, 63.6, 64, 69
64.95
63.6, 64, 64.8, 65
64.35
63.6, 64, 64.8, 66
64.6
63.6, 64, 64.8, 69
65.35
64, 64.8, 65, 66
64.95
64, 64.8, 65, 63.2
65.7
64, 64.8, 65, 69
64.25
64.8, 65, 66, 69
66.2
64.8, 65, 66, 63.2
64.75
64.8, 65, 66, 63.6
64.85
65, 66, 69, 63.2
65.8
65, 66, 69, 63.6
65.9
65, 66, 69, 64
66
66, 69, 63.2, 63.6
65.45
66, 69, 63.2, 64
65.55
66, 69, 63.2, 64.8
65.75
69, 63.2, 63.6, 64
65.95
69, 63.2, 63.6, 64.8
65.15
69, 63.2, 63.6, 65
65.2

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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