1. Which of the following statements regarding the sampling distribution of the sample mean is TRUE?

Multiple Choice:

A) The variance of the sample mean is smaller than the variance of all individual observations in the population.

B) The variance of the sample mean is equal to the variance of all individual observations in the population.

C) The expected value of the sample mean from a large sample is smaller than that from a small sample.

D) The expected value of the sample mean from a large sample is greater than that from a small sample.

2. Super Bowl XLVI was played between the New York Giants and the New England Patriots in Indianapolis. Due to a decade-long rivalry between the Patriots and the city's own team, the Colts, most Indianapolis residents were rooting heartily for the Giants. Suppose that 94% of Indianapolis residents wanted the Giants to beat the Patriots. What is the probability that from a sample of 50 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI?

Multiple Choice

A) 0.0474

B) Cannot be determined

C) 0.1469

D) 0.8531