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Suppose a random sample of size 11 was taken from a normally distributed population, and the...

Suppose a random sample of size 11 was taken from a normally distributed population, and the sample standard deviation was calculated to be s = 6.5. We'll assume the sample mean is 10 for convenience. a) Calculate the margin of error for a 90% confidence interval for the population mean. Round your response to at least 3 decimal places. Number b) Calculate the margin of error for a 95% confidence interval for the population mean. Round your response to at least 3 decimal places. Number NOTE both these values are over 2. Suppose we want a smaller margin of error. c) Approximately how large of a sample size is needed to construct a 90% confidence interval with a margin of error less than 1.5 given an estimate for the standard deviation of 6.5?

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