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Is difference between sample and population merely chance

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The College Boards are administered each year to thousands of high school seniors, and these scores are approximately normally distributed with a mean of 500, and a standard deviation of 100. Suppose a random sample of 100 students was drawn and the mean exam score was 545 with standard deviation of 49. Is the 45 point difference between the sample and the population merely due to chance? Use the appropriate two-tailed test with an α = 0.05.

Reference no: EM13135771

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