he operations manager of a company that manufactures tires wants to determine whether there are any differences in the quality of workmanship among the three daily shifts. She randomly selects 499 tires and carefully inspects them. Each tire is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two categorical variables of interest are: shift and condition of the tire produced. The data can be summarized by the accompanying two-way table. PerfectSatisfactoryDefectiveTotalShift 11061242232Shift 266853154Shift 336743113Total2082838499A) This sample has degree of freedom:��= 4CorrectIf shift and quality are independent, thenB) With any expected count accurate to 2 decimal places, the expected count in row 1 column 1 is�1,1= 116.19IncorrectC) With any component accurate to 2 decimal places, the component value in row 1 column 1 of the table iscomponent1,1= 116.19IncorrectD) �2 value of this sample is�2= 116.19Incorrect . Round to 2 decimal places.E) At significance level 0.02, is the sample showing strong evidence that shift and quality are dependent? Use 4 decimal places for p-value.YesNoCorrectF) The p-value for this sample was:p-value = The operations manager of a company that manufactures tires wants to determine whether there are anydifferences in the quality of workmanship among the three daily shifts. She randomly selects 499 tires andcarefully inspects them. Each tire is either classified as perfect, satisfactory, or defective, and the shift thatproduced it is also recorded. The two categorical variables of interest are: shift and condition of the tireproduced. The data can be summarized by the accompanying two-way table.DF = 4A) This sample has degree of freedom:E1,1=Shift 1Shift 2Shift 3Total=If shift and quality are independent, thenB) With any expected count accurate to 2 decimal places, the expected count in row 1 column 1 iscomponent 1,1D) x² value of this sample isx²Perfect1066636208YesSatisfactory1248574283C) With any component accurate to 2 decimal places, the component value in row 1 column 1 of the table isNoDefective2338Total232154113499Round to 2 decimal places.E) At significance level 0.02, is the sample showing strong evidence that shift and quality are dependent?Use 4 decimal places for p-value.

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Answered: The operations manager of a company…

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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he operations manager of a company that manufactures tires wants to determine whether there are any differences in the quality of workmanship among the three daily shifts. She randomly selects 499 tires and carefully inspects them. Each tire is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two categorical variables of interest are: shift and condition of the tire produced. The data can be summarized by the accompanying two-way table.

	Perfect	Satisfactory	Defective	Total
Shift 1	106	124	2	232
Shift 2	66	85	3	154
Shift 3	36	74	3	113
Total	208	283	8	499

A) This sample has degree of freedom:

��= 4Correct

If shift and quality are independent, then

B) With any expected count accurate to 2 decimal places, the expected count in row 1 column 1 is

�1,1= 116.19Incorrect

C) With any component accurate to 2 decimal places, the component value in row 1 column 1 of the table is

component1,1= 116.19Incorrect

D) �2 value of this sample is

�2= 116.19Incorrect . Round to 2 decimal places.

E) At significance level 0.02, is the sample showing strong evidence that shift and quality are dependent? Use 4 decimal places for p-value.

Correct

F) The p-value for this sample was:

p-value =