Sampling Distribution Quiz

What is the sampling distribution of sample mean?

• It is the distribution of the median

• It is the distribution of the sample size

• It is the distribution of the entire population

• It is the probability distribution of the sample mean for all possible samples of a certain size from a population.

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Imagine Lily, Harper, and Evelyn are having a debate. They are discussing how the sampling distribution of sample proportion is different from the sampling distribution of sample mean. Can you help them settle the debate?

• Lily argues that the sampling distribution of sample proportion is based on the proportion of successes in a sample, while the sampling distribution of sample mean is based on the average of the sample values.

• Harper thinks that the sampling distribution of sample proportion is based on the average of the sample values, while the sampling distribution of sample mean is based on the proportion of successes in a sample.

• Evelyn believes that the sampling distribution of sample proportion has a normal distribution, while the sampling distribution of sample mean has a skewed distribution.

• Or is it that the sampling distribution of sample proportion is not affected by sample size, while the sampling distribution of sample mean is heavily influenced by sample size?

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CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population
• The Sample
• The Sampling Distribution

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CCSS.HSS.ID.A.4

At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

•  78% is a population and 72% is a sample.
• 72% is a population and 78% is a sample
• 78% is a parameter and 72% is a statistic
• 72% is a parameter and 78% is a statistic

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Identify the Sample:

A restaurant wants to know if their customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The restaurant concluded that most customers do not order dessert.

• 20 customers

• All customers

• 8 customers

• Dessert

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5

Researchers will conduct a study of the television-viewing habits of children. They will select a simple random sample of children and record the number of hours of television the children watch per week. The researchers will report the sample mean as a point estimate for the population mean. Which of the following statements is correct for the sample mean as a point estimator?

• A sample of size 25 will produce more variability of the estimator than a sample of size 50.

• A sample of size 25 will produce less variability of the estimator than a sample of size 50.

• A sample of size 25 will produce a biased estimator, but a sample size of 50 will produce an unbiased estimator.

• A sample of size 25 will produce a more biased estimator than a sample of size 50.

• A sample of size 25 will produce a less biased estimator than a sample of size 50.

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

What happens to the shape of a sampling distribution of sample means as n increases?

• It becomes narrower and bimodal.
• It becomes narrower and more normal.
• It becomes wider and skewed right. 
• It becomes wider and more normal. 

The time it takes all cross country runners to complete a course has a mean of 32.1 minutes with a standard deviation of 10.2 minutes. What is the probability that an SRS of 36 runners will have a mean completion time greater than 34 minutes?

• .4261

• .5739

• .8681

• .1319

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CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

In a recent state election, 58% of the voters were Democratic. The total percent of Democratic voters in the state is actually 52%.

• 52% is a statistic and 58% is a parameter.

• 52% is a parameter and 58% is a statistic.

• I am unable to determine parameters with the given information.

• Both 52% and 58% are parameters.

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CCSS.HSS.IC.A.1