The Central Limit Theorem for Sample Means Quiz

According to the Central Limit Theorem, what happens as the sample gets larger?

• Data becomes exponential
• Probabilities equal zero
• The sampling distribution gets closer
• The mean increases

As sample size increases, the standard deviation of the sampling distribution of the means will do what?

• Become undefined
• Increase
• Stay constant
• Decrease

In the change-carried example, the distribution of X (individual) is described as:

• Exponential
• Uniform
• Binomial
• Normal

In the change-carried example, the sampling distribution X-bar is described as:

• Normal
• Exponential
• Poisson
• Uniform

Why are the two change-carried distributions considered different?

• One is binomial
• Both are uniform
• One exponential, one normal
• Both are normal

For solution 25, what are the mean and standard deviation?

• Mean = 90, sd = 3/4
• Mean = 17, sd = 0.17
• Mean = 25, sd = 2/7
• Mean = 48, sd = 5/6

For solution 30, what is the expected value and standard deviation?

• EV = 17, sd = 0.05
• EV = 17, sd = 0.17
• EV = 14, sd = 0.65
• EV = 38, sd = 0.43

According to the evidence, the distribution of the sample mean has higher probabilities where?

• At the extremes
• At zero
• Closer to the population mean
• Far from the population mean

What can very wide differences in data values cause, per the evidence?

• Averages larger than the sample
• Averages smaller than std deviations
• Equal means
• Zero probabilities

In the third-world income example, X represents:

• The standard deviation
• The yearly income of someone there
• The sample size
• The average of all samples

In the third-world income example, what does part b describe?

• Average salary from samples of 1,000
• The standard deviation
• The population total
• The yearly income of one person

In the songs example, what does X represent in part a?

• Average of five albums
• Total collection size
• The length of a song, in minutes
• Number of albums