Answered: control manager of an automobile parts…

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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The quality control manager of an automobile parts factory would like to know whether there is a difference between the proportion of defective parts produced on different days of the work week. Random samples of 100 parts produced on each day of the week were selected, with the following results:

Result:	Mon	Tues	Wed	Thurs	Fri
# of defective parts:	12	7	7	10	14
# of non-defective parts:	88	93	93	90	86

At 5% level of significance, is there evidence of a significant difference in the proportion of defective parts produced on the various days of the week

(A ) Step-1: State the hypotheses ( H0 and H1 ), and identify the claim

A. H0: Proportion of defective parts is not the same for the days of the week. H1: Proportion of defective parts is the same for all days of the week

B. H0: Proportion of defective parts is dependent on the days of the week H1: Proportionof defective parts is indepedent of the days of the week

C. Ho: P = 0.20 H1: P is not equal to 0.20

D. H0: Proportion of defective parts is the same for all days H1: Proportion of defective parts is not the same for the days of the week

(b ) Step-2: Compute P-value. Please keep 4 decimals in your answer.

( c ) Step-3: Compare P- value with significance level value ( α value) of 5% and make final conclusion about whether or not you want to rehect Ho:

A. Reject H0 since P-value is equal to alpha value of 5%

B. Not enough information about rejecting H0:

C. Do not reject reject H0 since P-value is not less than alpha value of 5%

D. Reject H0 Sice P-value is less than alpha value ( 5%)

( d ) Step-4: Summarize the result ( your final conclusion ) in words.

A. There is enough sample evidence to conclude that the proportion of defectives is the same for all days of the week

B. There is enough sample evidence to conclude that the proportion of defectives is different for different days of the week.

( e ) Explain the possible error made in the context of the problem.

Type II Error: since we did not reject the null hypothesis. Concluding that the proportion of defectives is the same when in reality they are different for different days of the week.

Type I Error: Since we rejected the null hypothesis. Concluding that the proportion of defectives is different for different days of the week when in reality the proportion of defectives is the same for all days of the week

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