Answered: diner gets its eggs from two different…

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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Question

A small diner gets its eggs from two different suppliers. Uniformity of the weight of the eggs is an important quality parameter on which the suppliers are judged.

A sample of

eggs from supplier A had a standard deviation in weight of

1.1

gm,

while a sample of

eggs from supplier B had a standard deviation of

0.75

gm in weight.

(a)

Construct a

98%

confidence interval for the standard deviation of the weight of eggs provided by supplier A.

(b)

At a

significance, conduct the appropriate hypothesis test to determine if there is any

difference in the standard deviation of weight of eggs provided by the two suppliers.

Expert Solution

Step 1

From the available information,

Supplier A:

Sample Size, n1= 35

Sample standard deviation, s1= 1.1

Supplier B:

Sample size, n2= 45

Sample standard deviation, s2= 0.75

(a)

The objective is to construct the 98% confidence interval for the standard deviation of the weight of eggs provided by supplier A.

The confidence interval is given as,

c=98%=98/100=0.98

The level of significance is,

The degrees of freedom is,

df= n1-1=35-1=34

from chi-square table at 34 degrees of freedom with 0.02 level of significance the critical values are:

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