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U5D1 Ch.Y.U. - Sampling Distributions & Bias and Variability

Last updated 7 months ago
18 questions
For each scenario, identify the population, parameter, sample, and statistic. Use correct notation for the parameter and statistic.

The Gallup Organization recently interviewed a random sample of 1,013 adults in the United States and asked them how much annual income their families need to get by. The average amount for the sample was $85,000.
1

What is the population?

1

What is the parameter?

1

What is the sample?

1

What is the statistic?

For each scenario, identify the population, parameter, sample, and statistic. Use correct notation for the parameter and statistic.

The Gallup Organization recently interviewed a random sample of 1,013 adults in the United States and asked them how much annual income their families need to get by. The standard deviation amount for the sample was $15,300.
1

What is the population?

1

What is the parameter?

1

What is the sample?

1

What is the statistic?

For each scenario, identify the population, parameter, sample, and statistic. Use correct notation for the parameter and statistic.

Some curious AP Statistics students believe that most cars in the school parking lot are silver. They take a random sample of 30 cars and calculate that the proportion of the sample that are silver is 0.36.
1

What is the population?

1

What is the parameter?

1

What is the sample?

1

What is the statistic?

1

Students wanted to estimate the average word length for Beyonce’s song Crazy in Love. Each student took a random sample of 5 words and calculated the mean of the sample, then used all the sample means to create a dotplot. Does this dotplot represent a population distribution or part of a sampling distribution? Explain.

The James family has five children: Jocelyn (age 8), Alyse (age 8), Michael (age 14), Erica (age 16), and Sarah (age 18).
1

Complete the table by listing the 10 possible samples of size n = 2 from this population and calculate the sample mean age for each sample. The first column is completed for you.

1

Create a sampling distribution of the sample mean age of samples of size 2.

1

What is the mean of the sampling distribution of the sample mean?

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What is the mean of the population?

1

Is the sample mean an unbiased estimator of the population mean? Justify your answer.