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Testing hypotheses based on a given data set

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A compute manufacturer is about to unveil a new,faster PC.The new PC is faster but intial tests incidcate there is more variation in the processing time. The processing time depends on the particluar program being run, the amount of input data and the amt of output. A sample of 16 computer runs,covering a range of production jobs, showed that the statdard deviation of the processing time was 22 hundredths of a second for the new machine and 12 hundredths of as second for the currents machine At the .05 significance level can we conclude that there is more variation in the processing time of the new machine

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Solution Summary

The solution contains detailed explanation of testing hypotheses using the five-step procedures.

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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