CCSS.Math.Content.HSS.IC.B.4

If the sample is representative of a high school with 2,000 freshman and seniors, then based on the table, what is the predicted number of freshman at the high school who would select math as their favorite high school subject?

• 520

• 240

• 65

• 30

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CCSS.Math.Content.HSS.IC.B.4

A ___ is a small portion of the population used to gather data from.

• Systematic Sampling Method

• Sample

• Population

• Bias

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CCSS.Math.Content.HSS.IC.B.4

Increasing the sample size __________ the confidence interval. 

• increases

• decreases

• does not affect

• there is not enough evidence to determine the answer

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CCSS.Math.Content.HSS.IC.B.4

A group of people are surveyed about the number of books they read each month, and the results are graphed in the pie chart. If the sample accurately represents the 420,000 people in the city of Omaha, how many people in Omaha can we expect to read 3 or more books per month?

• 84,000

• 105,000

• 189,000

• 218,000

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CCSS.Math.Content.HSS.IC.B.4

28% of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. (The sample proportion is 15/50 or .3) What is the probability of getting a sample of size 50 that has 15 or more students who believe Monday will be a snow day?

• 0.376

• Cannot be determined because the distribution of the sample proportion of samples of size 50 is not normal

• 0.624

• 0.99999

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CCSS.Math.Content.HSS.IC.B.4

A biologist wants to estimate the difference between the mean body lengths of green and brown stinkbugs. A random sample of 20 green stinkbugs has a mean body length of 16.22 millimeters (mm) and a standard deviation of 1.34 mm. A random sample of 20 brown stinkbugs has a mean body length of 13.41 mm and a standard deviation of 0.73 mm. What is the standard error of the difference (green - brown) between the sample means?

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CCSS.Math.Content.HSS.IC.B.4

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.Math.Content.HSS.IC.B.4

Suppose that 25 percent of women and 22 percent of men would answer yes to a particular question. In a simulation, a random sample of 100 women and a random sample of 100 men were selected, and the difference in sample proportions of those who answered yes, was calculated. The process was repeated 1,000 times. Which of the following is most likely to be a representation of the simulated sampling distribution of the difference between the two sample proportions?

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CCSS.Math.Content.HSS.IC.B.4

A recent survey found that out of 400 random American adults, 89% pay their bills on time. The margin of error in this survey was 2%. What is the interval of values in which the truth is likely found?

• 89% - 91%

• 87% - 89%

• 87% - 91%

• 388 - 402

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CCSS.Math.Content.HSS.IC.B.4

New York Times Poll on women’s issues interviewed 1025 women randomly selected from the United States. One question was “Many women have better jobs and more opportunities than they did 20 years ago. Do you think women had to give up too much in the process, or not?” Forty-eight percent of women in the sample said “Yes.”

Why can't we just say that 48% of women felt they gave up too much?

• Not all samples would result in 48%

• The margin of error might change.

• The confidence interval might change

• This was a biased survey.

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CCSS.Math.Content.HSS.IC.B.4