Solution: (10 marks) The random variable X has a normal distribution with mean µ and variance 9. A random sample of 10 observations of X has mean 8.2.


Question: (10 marks ) The random variable X has a normal distribution with mean µ and variance 9. A random sample of 10 observations of X has mean 8.2. Find

  1. a 95% symmetric confidence interval for µ,
  2. a 99% symmetric confidence interval for µ.

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