# Answer on Statistics and Probability Question for Sumendra

Question #40833

Suppose a regional computer centre A wants to evaluate the performance of its disk memory system. One measure of performance is the average time between failures of its disk drive. To estimate this value, the centre recorded the time between failures for a random sample of 45 disk-drive failures. The following sample statistics were computed: bar x 1768 hours, s = 213 hours

i. Estimate the true mean time between failures with a 90% confidence interval.

ii. If the disk memory system is running properly, the true mean time between failures will exceed 1700 hours. Based on the interval in part (i), what can you infer about the disk memory system?

iii. How large a sample would have been required to achieve 99% confidence interval that the margin of error of estimate would be 20?

iv. Another sample of 50 disk-drive failures has been recorded from another computer centre B. The mean that obtained is 1720 with standard deviation 218. Estimate the difference of the true mean time failures with a 90% confidence inte

i. Estimate the true mean time between failures with a 90% confidence interval.

ii. If the disk memory system is running properly, the true mean time between failures will exceed 1700 hours. Based on the interval in part (i), what can you infer about the disk memory system?

iii. How large a sample would have been required to achieve 99% confidence interval that the margin of error of estimate would be 20?

iv. Another sample of 50 disk-drive failures has been recorded from another computer centre B. The mean that obtained is 1720 with standard deviation 218. Estimate the difference of the true mean time failures with a 90% confidence inte

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