MATHEMATICS

For which of the following situations would the Central Limit Theorem not apply?
A) A random sample of size 20 is drawn from a skewed population.
B) A random sample of size 50 is drawn from a skewed population.
C) A random sample of size 20 is drawn from a bell-shaped population.
D) A random sample of size 50 is drawn from a bell-shaped population.

Suppose on a highway with a speed limit of 65 mph, the speed of cars are independent and normally distributed with an average speed = 65 mph and standard deviation = 5 mph. What is the standard deviation for the sample mean speed in a random sample of n = 100 cars?
A) 0.5
B) 13
C) 3.25

Is the given percent a statistic or a parameter? A customs inspector sampled 5 boxes among 20 boxes being shipped from out of the country. He found that one of the five boxes (20%) contained an illegal food item.
A) Statistic
B) Parameter

Is the given percent a statistic or a parameter? Based on the 2000 Census, 39.5% of the California population of residents who are over 5 years old speak languages other than English at home.
A) Statistic
B) Parameter

Suppose that a polling organization surveys n = 400 people about whether they think the federal government should give financial aid to the airlines to help them avoid bankruptcy. In the poll, 300 people say that the government should provide aid to the airlines. Which choice gives the correct notation and value for the sample proportion, ρ-hat, in this survey?
A) ρ-hat = 0.30
B) ρ = 0.30
C) ρ-hat = 0.75
D) ρ =0.75

Which statement is true about ρ and ρ-hat?
A) They are both parameters.
B) They are both statistics.
C) ρ is a parameter and ρ-hat is a statistic.
D) ρ-hat is a parameter and ρ is a statistic.

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