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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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.

Expert Solution

Step 1: Given Information:

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