You work for a company that produces electronics with integrated circuits.  One of your products is called a "shift register."  This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius.  The manufacturing process has been designed to have a standard deviation of σ=0.4σ=0.4 degrees Celsius.  You test a random sample 19 shift registers, and you record the following shut-down temperatures. Construct a 95% confidence interval for the overall mean shutdown-temperature.   175.39 174.24 174.88 174.83 174.77 174.29 174.53 175.3 174.52 174.86 175.04 175.72 174.82 174.93 174.61 175.33 174.91 175.02 174.96     (Checksum: 3322.95)     a) Find the critical value and σ¯xσx¯ . Critical Value: ____      σ¯xσx¯ :  ______ b)  Find the confidence interval:  (,)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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You work for a company that produces electronics with integrated circuits.  One of your products is called a "shift register."  This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius.  The manufacturing process has been designed to have a standard deviation of σ=0.4σ=0.4 degrees Celsius.  You test a random sample 19 shift registers, and you record the following shut-down temperatures. Construct a 95% confidence interval for the overall mean shutdown-temperature.

 

175.39 174.24 174.88 174.83 174.77 174.29 174.53
175.3 174.52 174.86 175.04 175.72 174.82 174.93
174.61 175.33 174.91 175.02 174.96    


(Checksum: 3322.95)

 

 

a) Find the critical value and σ¯xσx¯ .

Critical Value: ____      σ¯xσx¯ :  ______

b)  Find the confidence interval:  (,) 

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