Bias Sampling Probability and Statistics

According to DuPont 2012 Global Automotive Color Popularity Report, 23% of all cars manufactured in 2012 were white.  In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white.  Which of the following statements is true?

• 19% and 23% are parameters, 100 is a statistic.

• 23% is a parameter, 19% is a statistic

• 23% is a statistic, 19% is a parameter

• 19%, 23%, and 100 are all statistics

A Gallup Poll asked a random sample of 1240 adults, "Do you play video games?" Suppose the true proportion of all adults who play video games is p = .26.
What is the standard deviation of the sampling distribution of p̂?  Check that the 10% condition is met.

• The 10% condition is met.  σp̂ = .0126

• The 10% condition is not met.

• The 10% condition is met.  σp̂ = .0074

• The 10% condition is met.  σp̂ = .26

A certain Boba machine is designed to fill a 16-ounce cup. When it is working properly, the amount filled follows a Normal distribution with a mean of 16.5 ounces and a standard deviation of 0.3 ounces. If 4 cups of Boba are randomly selected, what is the probability that the sample mean will be less than 16.8 ounces?

• .9772

• .1587

• .8413

• .0228

The distribution of GPA's for all AP Statistics students is skewed to the left with a population mean, μ = 3.68 and a standard deviation, σ = 1.2. An SRS of 30 AP Statistics students was taken. The shape and standard deviation of the sampling distribution is

• Normal with a σ_x = .2191

• Normal with a σ_x = 1.2

• Skewed to the left with a σ_x = .2191

• The 10% Condition is not met

When the mean of a sampling distribution is the same as that of the population, we say that

• it is an unbiased estimator of the population

• it is an unbiased estimator of the statistic

• it is a low variability estimator of the population

• it is a biased estimator of the population

5% of workers in the US use public transportation to get to work. You randomly select 250 workers and ask them if they use public transportation to get to work. Find the Probability that exactly 16 workers say yes.

• .8769

• .1923

• .0691

• 0

What is the variance for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 47.47

• 102.01

• 52.77

• 81

Find the probability of getting at most 100 5's when rolling an 8 sided die 700 times. 

• .9313

• .9149

• .0851

• .0687