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Probability and Statistics for Engineering and the Sciences | 9th Edition | ISBN: 9781305251809 | Authors: Jay L. Devore
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Answer: a. Let a and b be constants and let yi = axi +b

Chapter 1, Problem 69E

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QUESTION:

Problem 69E

a. Let a and b be constants and let yi = axi +b for . What are the relationships between x ¯and y¯ and between sx2and sy2?

b. A sample of temperatures for initiating a certain chemical reaction yielded a sample average (°C) of 87.3 and a sample standard deviation of 1.04. What are the sample average and standard deviation measured in °F? [Hint: 9/5C+ 32 .]

 

Questions & Answers

QUESTION:

Problem 69E

a. Let a and b be constants and let yi = axi +b for . What are the relationships between x ¯and y¯ and between sx2and sy2?

b. A sample of temperatures for initiating a certain chemical reaction yielded a sample average (°C) of 87.3 and a sample standard deviation of 1.04. What are the sample average and standard deviation measured in °F? [Hint: 9/5C+ 32 .]

 

ANSWER:

Answer:

Step1:

 a). Let ‘a’ and ‘b’ be constants.

     And let   = a +b.

   Now we have to find the relationships between and between   

 So that,

              =

                 =

                 =  

                 =

                 =

              =

Then,

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