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A study of 35 gamers showed that their average score on a particular game was 90 and the population standard deviation is 5. (i) Find the best point estimate of the population mean. (ii) Find the 95% confidence interval of the mean score for all gamers. (iii) Find the 95% confidence interval of the mean score if a sample of 70 gamers is used instead of a sample of 35. (iv) From your answer in part (ii) and (iii), which interval is smaller?
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