Review the work below for calculating a confidence interval for a sample mean. Redo the work and confirm that it is correct, or correct it and note the errors. What is the final margin of error E? What is the final confidence interval? Offer an example of a population mean that would fit into the confidence interval. Offer an example of a population mean that would be outside of the confidence interval. 129OZ critical value1 Margin of Error2334Sample Size n5 Sample Mean x-bar (careful with rounding!)5 Population Standard Deviation o7 Confidence Level (click drop down)Margin of Error E (only enter if given)456Confidence Interval Worksheet - MM207 Unit 9 and 10Confidence Interval for MEANSEnter Values in the Yellow Boxes BelowMinimum Sample SizeConfidence Interval for the Mean35.6518366599051 <= µ <= 52.78816334009495544.2232.4295%1.968.56816ΝΑConfidence Interval for PROPORTIONSEnter Values in the Yellow Boxes BelowSample Size nSample proportion p-hat (careful with rounding!)Confidence Level (click drop down)Margin of Error E (only enter if given - use decimal)Z critical valueMargin of ErrorMinimum Sample SizeConfidence Interval for the ProportionNA <= p <= NAnot specified2ΝΑΝΑNormal ProbabilityDistribution Critical Valuesof z TableConfidence Levelnot specified90%91%92%93%94%95%96%97%98%99%z critical value21.651.71.751.811.881.962.052.172.332.58

It is given that: n sample size=55x¯ sample mean=44.22σ population standard deviation=32.42

Answered: Review the work below for calculating a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Review the work below for calculating a confidence interval for a sample mean. Redo the work and confirm that it is correct, or correct it and note the errors. What is the final margin of error E? What is the final confidence interval? Offer an example of a population mean that would fit into the confidence interval. Offer an example of a population mean that would be outside of the confidence interval.

1
2
9
OZ critical value
1 Margin of Error
2
3
3
4
Sample Size n
5 Sample Mean x-bar (careful with rounding!)
5 Population Standard Deviation o
7 Confidence Level (click drop down)
Margin of Error E (only enter if given)
4
5
6
Confidence Interval Worksheet - MM207 Unit 9 and 10
Confidence Interval for MEANS
Enter Values in the Yellow Boxes Below
Minimum Sample Size
Confidence Interval for the Mean
35.6518366599051 <= µ <= 52.7881633400949
55
44.22
32.42
95%
1.96
8.56816
ΝΑ
Confidence Interval for PROPORTIONS
Enter Values in the Yellow Boxes Below
Sample Size n
Sample proportion p-hat (careful with rounding!)
Confidence Level (click drop down)
Margin of Error E (only enter if given - use decimal)
Z critical value
Margin of Error
Minimum Sample Size
Confidence Interval for the Proportion
NA <= p <= NA
not specified
2
ΝΑ
ΝΑ
Normal Probability
Distribution Critical Values
of z Table
Confidence Level
not specified
90%
91%
92%
93%
94%
95%
96%
97%
98%
99%
z critical value
2
1.65
1.7
1.75
1.81
1.88
1.96
2.05
2.17
2.33
2.58

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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