C Consider Sampling from a Normal Population with a Population $\mu$

question 34

Essay

C Consider sampling from a normal population with a population mean $\mu$ and standard deviation $\sigma$ . As the sample size, $n$ , increases, some characteristics of the sampling distribution of the sample mean, $\bar { x }$ , may change. Which of the following characteristics will change as $n$ increases, and what is the nature of the change? a) The mean of the sampling distribution of $\bar { x }$



b) The standard deviation of the sampling distribution of $\bar { x }$




c) The shape of the sampling distribution of $\bar { x }$

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Definitions:

Reserves

Vault cash and deposits of banks held by Federal Reserve district banks.

Deposits

Funds placed into an account at a financial institution for safekeeping and often to earn interest.

Federal Reserve

The central banking system of the United States, responsible for monetary policy, regulating banks, maintaining financial stability, and providing banking services to governmental institutions.

Board of Governors

The Federal Reserve System’s governing body.