2. You have been tasked with identifying outliers in a data set consisting of measurements of fuel flow to an engine at fixed operating conditions (power, RPM, etc.). The data set consists of 50 readings. The analysis performed on the data so far gives the following statistical quantities: • The average (mean) of the 50 fuel flow rate measurements is 10.4 gallons/hr. • The sample standard deviation is 0.3 gallons/hr. Use Chauvenet's criterion to identify the limits for identifying outliers. Show your work. A relevant table is attached as a picture below. a. Readings can be excluded that show fuel flow rates smaller than gallons/hr. b. Readings can be excluded that show fuel flow rates greater than gallons/hr.

2. You have been tasked with identifying outliers in a data set consisting of measurements of fuel flow to an engine at fixed operating conditions (power, RPM, etc.). The data set consists of 50 readings. The analysis performed on the data so far gives the following statistical quantities: • The average (mean) of the 50 fuel flow rate measurements is 10.4 gallons/hr. • The sample standard deviation is 0.3 gallons/hr. Use Chauvenet's criterion to identify the limits for identifying outliers. Show your work. A relevant table is attached as a picture below. a. Readings can be excluded that show fuel flow rates smaller than gallons/hr. b. Readings can be excluded that show fuel flow rates greater than gallons/hr.

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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Concept explainers

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.

Question

2. You have been tasked with identifying outliers in a data set consisting of measurements
of fuel flow to an engine at fixed operating conditions (power, RPM, etc.). The data set
consists of 50 readings. The analysis performed on the data so far gives the following
statistical quantities:
• The average (mean) of the 50 fuel flow rate measurements is 10.4 gallons/hr.
• The sample standard deviation is 0.3 gallons/hr.
Use Chauvenet's criterion to identify the limits for identifying outliers. Show your work. A
relevant table is attached as a picture below.
a. Readings can be excluded that show fuel flow rates smaller than
gallons/hr.
b. Readings can be excluded that show fuel flow rates greater than
gallons/hr.

Table 3.5
Chauvenet's criterion for rejecting a reading
Number of Readings,
Ratio of Maximum Acceptable Deviation
to Standard Deviation, dmax/o
1.38
1.54
1.65
1.73
1.80
10
1.96
15
2.13
25
2.33
50
2.57
100
2.81
300
3.14
500
3.29
1000
3.48
Note: dmax is interpreted as the absolute value of the acceptable deviation from the mean.
Table from J.P. Holman, Experimental Methods for Engineers.

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