Answered: Below you’ll find summary statistics…

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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Related questions

Question

Below you’ll find summary statistics and a frequency distribution about apartments located in Vienna,
Austria. The variable in particular this information is for contains the “# of square meters in the kitchen
per apartment.” I have limited the sample to where only a specific district in the city is shown.
Summary statistics, using the observations 401 – 602
for the variable 'kitchen_sq' (202 valid observations)
Mean 3.5347
Median 0.00000
Minimum 0.00000
Maximum 120.00
Standard deviation 9.2533
C.V. 2.6179
Skewness 9.9905
Ex. kurtosis 122.56
5% percentile 0.00000
95% percentile 9.8500
Interquartile range 8.000
Missing obs. 0
a. Using the information as furnished above, construct a 95% confidence interval for the true
population mean of kitchen square meters in this district in Vienna. Show and describe your
work.
b. Explain, in plain English, what a confidence interval is. Use the numbers used above in the
results above to frame the discussion.

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 + ...

Expert Solution

Step 1: Given Information:

$M e a n open parentheses x with bar on top close parentheses equals 3.5347 s tan d a r d space d e v i a t i o n open parentheses sigma close parentheses equals 9.2533 S a m p l e space s i z e space open parentheses n close parentheses equals 202$