Mean data-transfer rate

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The quality-control manager at a factory that manufactures memory cards fordigital cameras needs to determine whether the mean data-transfer rate of a large shipment of cards is equal to 10 MB/s. The population standard deviation is 0.8 MB/s. A random sample of 64 cards indicates a sample mean data transfer rate of 9.8 MB/s.(a) Consider the question: Is there evidence that the mean data-transfer rate is different from 10 MB/s? Would you recommend a hypothesis test with a one or two-sided alternative hypothesis? Justify your answer and write down your alternative hypothesis.(b) Use your hypothesis test from part (a) to answer the question: Is there evidence that the mean data-transfer rate is different from 10 MB/s?(c) What (if any) assumptions are needed in order for your conclusions in part (b) to be reliable?(d) Construct a 95% confidence interval for the mean data-transfer rate of the large shipment of cards.

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