An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 representall the samples that are possible. She tabulated the number of hours it took for the bearings tofail under stress.SampleDesign8.1127.98.048.17.88.28.46.8.6.108.17.78.3a) Calculate Hz.b) What is the true population mean, u?c) What do you need to assume in order to know this? (A single phrase will suffice).d) Let the standard deviation, o, be .651, calculate the standard deviation of the sample means.[Hint, do you have to calculate the whole table with (x- u; ), (F- H;), etc]?e) What does the answer to part d) mean in words? [This is more than saying it is the standarddeviation of the sample means']f) Why is standard deviation of the sample means smaller than o ?

The sample size is n=10 The sample is given to be : Sample Design x 1 8.1 2 7.9 3 8 4…

An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 represent all the samples that are possible. She tabulated the number of hours it took for the bearings to fail under stress. Sample Design 8.1 2. 7.9 8.0 3 4 8.1 7.8 6. 8.2 8.4 8. 8.1 9. 7.7 10 8.3

An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 represent all the samples that are possible. She tabulated the number of hours it took for the bearings to fail under stress. Sample Design 8.1 2. 7.9 8.0 3 4 8.1 7.8 6. 8.2 8.4 8. 8.1 9. 7.7 10 8.3

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 represent
all the samples that are possible. She tabulated the number of hours it took for the bearings to
fail under stress.
Sample
Design
8.1
1
2
7.9
8.0
4
8.1
7.8
8.2
8.4
6.
8.
6.
10
8.1
7.7
8.3
a) Calculate Hz.
b) What is the true population mean, u?
c) What do you need to assume in order to know this? (A single phrase will suffice).
d) Let the standard deviation, o, be .651, calculate the standard deviation of the sample means.
[Hint, do you have to calculate the whole table with (x- u; ), (F- H;), etc]?
e) What does the answer to part d) mean in words? [This is more than saying it is the standard
deviation of the sample means']
f) Why is standard deviation of the sample means smaller than o ?

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