[All Steps] A quality characteristic has a population mean of 10 and population standard deviation of 0.5. A sample of size 50 is drawn from the population.


Question: A quality characteristic has a population mean of 10 and population standard deviation of 0.5. A sample of size 50 is drawn from the population.

  1. Let \(\bar{X}\) denote the sample mean. How is \(\bar{X}\) distributed?
  2. State whether the following statement is TRUE or FALSE. The expected value of sample standard deviation is 0.5.

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