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

This sample consists of units of the population that chose to respond.

• mandatory
• census
• volunteer
• unbiased

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

Complete the equation: 
point estimate +/- _____

• standard deviation
• margin of error
• critical value
• confidence level

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

A recent survey found that 77% of high schoolers use their phones more than 4 hours a day on average. The margin of error was 3%. What is the interval for which we could expect to find the truth of the population?

• 77% - 80%

• 74% - 77%

• 74% - 80%

• 50 million high schoolers - 120 million

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

What type of Sampling?

A radio station asks its listeners to call in their opinion regarding the use of American forces in peacekeeping missions.

• Random

• Convenience

• Systematic

• Voluntary

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

For a class project, a student in a statistics class surveys the monthly rent for 32 unfurnished one-bedroom apartments in Boston and finds the mean monthly rent to be $1400 with a standard deviation of $220.

Find the margin of error for the sample mean. (assuming 95% confidence) Round to the nearest hundredth

• $77.78

• $4.31

• $188.78

• $494.97

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

A researcher wishes to estimate, within $25, the true mean amount of postage a community college spends each year. The standard deviation is known to be $80. If she wishes to be 95% confident in her estimate of the true mean amount of postage, how large a sample is necessary? Round to the nearest whole number

• 41

• 25

• 80

• 200

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

Suppose a department store wants to estimate within 2 years the true mean age of the customers in its contemporary apparel department. The department store manager assumes a standard deviation of 7.5 years. How large a sample is required to estimate the true mean age with 95% confidence?

Round to the nearest whole number

• 56

• 112

• 420

• 224

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

Complete the following statement about the change in size.

If your sample has a larger mean, the ME will . . . .

• increase

• decrease

• stay the same

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

Complete the following statement about the change in size.

If you increase the size of your sample, the ME will . . . .

• increase

• decrease

• stay the same

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