Set6_Winter2007 - Homework Set #6 MA 223, Engineering...

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NAME:___________________________________ CM:________________ MA 223, Engineering Statistics Winter 2007-08; 15 points possible Due date: Friday, February 8 at the BEGINNING of class . You may work together on thinking through these problems, but what you turn in must be your own individual write up and work. Please show as much work as possible. It’s much easier to give partial credit when the work is all available. _________________________________________________________________________________________ 1. [+1] The following sample lifetime data is the time to failure for a sample of 14 relay fuses of a certain brand. 523 578 2122 881 205 169 678 344 1222 2501 235 3315 1205 1239 Using the appropriate method (e.g., 1-sample z , 1-sample t , bootstrapping, 2-sample z , etc.), construct a 95% confidence interval for the mean time to failure for this brand of relay fuses. To the extent that you can, justify your method using the data and explain below. The method that should be used is a 1-sample t test, as the sample size is quite small, 14. Using the sample t test, the 95% confidence interval is (537, 1636) One-Sample T: C1 Variable N Mean StDev SE Mean 95% CI C1 14 1087 952 254 (537, 1636) 2. [+1] Each day a fast-food chain tests the number of calories in their “Diet-Burger.” Due to imperfections in the cooking process, the number of calories in their Diet-Burger is a random variable that is normally distributed with a mean of calories and a standard deviation of calories. The decision rule adopted by the fast-food chain is to reject the null hypothesis that the mean really is if the sample mean number of calories, , is more than for a random sample of burgers. What is the probability of a Type I error, , using this decision rule? That is, what is the probability that they will reject the null hypothesis (because they get an ) given that the null hypothesis is actually true ( )? P is .035
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This lab report was uploaded on 04/17/2008 for the course MA 223 taught by Professor Devasher during the Spring '08 term at Rose-Hulman.

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Set6_Winter2007 - Homework Set #6 MA 223, Engineering...

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