A study is being made of the failures of an electronic component. There are four types of failures possible and two mounting positions for the device. The following data have been taken: Failure Type Mounting Position A D 1 21 A1 17 8 16 7 13 Would you conclude that the type of failure is independent of the mounting position? Use

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.2: Box-and-whisker Plots
Problem 5E
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Student ID: 47660

Let A1 = the first two digits of your student ID number and A2 = A1 / 10.
For example, if your student ID is 34251, then A1 = 34 and A2 = 3.4.
Find your A1 and A2.

Solve the question manually, show detailed calculations:
A study is being made of the failures of an electronic component. There are four types of
failures possible and two mounting positions for the device. The following data have been
taken:
Failure Type
Mounting Position
A
в
C
D
1
21
A1
17
8
16
7
13
Would you conclude that the type of failure is independent of the mounting position? Use
a significance level of 0.05.
a) State appropriate hypotheses.
b) Find expected frequency for each combination.
c) Calculate test statistic.
d) What is degrees of freedom of the chi-square distribution? Find critical value.
e) State your rejection criterion for the critical value approach.
f) Write your decision and conclusion.
Transcribed Image Text:Solve the question manually, show detailed calculations: A study is being made of the failures of an electronic component. There are four types of failures possible and two mounting positions for the device. The following data have been taken: Failure Type Mounting Position A в C D 1 21 A1 17 8 16 7 13 Would you conclude that the type of failure is independent of the mounting position? Use a significance level of 0.05. a) State appropriate hypotheses. b) Find expected frequency for each combination. c) Calculate test statistic. d) What is degrees of freedom of the chi-square distribution? Find critical value. e) State your rejection criterion for the critical value approach. f) Write your decision and conclusion.
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HOUGHTON MIFFLIN HARCOURT
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