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An engineer working for a leading electronics firm claims to have invented a process for making longer- lasting TV picture tubes. Tests run on 50 picture tubes made with the new process show a mean life of 1,700 hours. Tests run over the last three years on a very large number of TV picture tubes made with the old process consistently show a mean life of 1,638 hours and a standard deviation of 195 hours. a) What is the sampling distribution of xbar, and how do you know that? b) Assuming the claim is true, how likely was it to have gotten a mean of 1,700 from yo sample? ou would like to test whether the engineer's work has produced a picture tube that definitely la ger, what would be... c) the null hypothesis? ...

An engineer working for a leading electronics firm claims to have invented a process for making longer- lasting TV picture tubes. Tests run on 50 picture tubes made with the new process show a mean life of 1,700 hours. Tests run over the last three years on a very large number of TV picture tubes made with the old process consistently show a mean life of 1,638 hours and a standard deviation of 195 hours. a) What is the sampling distribution of xbar, and how do you know that? b) Assuming the claim is true, how likely was it to have gotten a mean of 1,700 from yo sample? ou would like to test whether the engineer's work has produced a picture tube that definitely la ger, what would be... c) the null hypothesis? ...

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Engineering Statistics Problem** An engineer working for a leading electronics firm claims to have invented a process for making longer-lasting TV picture tubes. Tests run on 50 picture tubes made with the new process show a mean life of 1,700 hours. Tests run over the last three years on a very large number of TV picture tubes made with the old process consistently show a mean life of 1,638 hours and a standard deviation of 195 hours. **Questions:** a) What is the sampling distribution of x̄, and how do you know that? b) Assuming the claim is true, how likely was it to have gotten a mean of 1,700 from your sample? c) If you would like to test whether the engineer’s work has produced a picture tube that definitely lasts longer, what would be... c) ... the null hypothesis?
Transcribed Image Text:**Engineering Statistics Problem** An engineer working for a leading electronics firm claims to have invented a process for making longer-lasting TV picture tubes. Tests run on 50 picture tubes made with the new process show a mean life of 1,700 hours. Tests run over the last three years on a very large number of TV picture tubes made with the old process consistently show a mean life of 1,638 hours and a standard deviation of 195 hours. **Questions:** a) What is the sampling distribution of x̄, and how do you know that? b) Assuming the claim is true, how likely was it to have gotten a mean of 1,700 from your sample? c) If you would like to test whether the engineer’s work has produced a picture tube that definitely lasts longer, what would be... c) ... the null hypothesis?
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