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3. Jacob is a quality assurance engineer of a SSD (solid state disk) manufacturer. It is known from previous studies that, for a SSD model

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3. Jacob is a quality assurance engineer of a SSD (solid state disk) manufacturer. It is known from previous studies that, for a SSD model 970Pro, its lifetime follows a normal distribution. Now Jacob is told by his colleagues that the mean lifetime ofa SSD model 970Pro should be p. = 3 years. To verify this information, Jacob randomly selects 25 SSDs from the 970Pro production line for testing. From these 25 SSDs, he finds that the average lifetime of the sample he drawn is 3.435 years. In addition, the sample standard deviation calculated from these 25 SSDs is 1 year. Please help Jacob to perform a hypothesis test on the average lifetime u of970Pro with a pvalue threshold of 0.05. (Hint: null hypthesis H0: p. = 3 (years), alternative hypothesis H1: u 9* 3 (years))

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