AP Stats: Chapter 7 Review

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

• 200
• 16
• 25
• 4

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the standard error of the sampling distribution?

• 200
• 16
• 25
• 4

Tags

CCSS.HSS.ID.A.4

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting one data value less than 190?

• 69%
• 42%
• 31%
• 58%

Tags

CCSS.HSS.ID.A.4

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting 25 data values with a mean less than 190?

• 69%
• 0.6%
• 31%
• 99%

Tags

CCSS.HSS.ID.A.4

Increasing the sample size of an opinion poll will reduce the

• bias of the estimates made from the data collected in the poll.
• variability of the estimates made from the data collected in the poll.
• variability of opinions in the sample.
• variability of opinions in the population.

Tags

CCSS.HSS.IC.A.1

CCSS.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. 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

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  Let p-hat be the proportion of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  Suppose this claim is true. 
Calculate the standard deviation of the sampling distribution.  (Check to see if the 10% condition is met first)

• 0.0116
• 0.0117
• 0.0118
• 0.0119

Tags

CCSS.HSS.ID.A.4

CCSS.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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

A study of voting chose 663 registered voters at random shortly after the election. Of these, 72% said they had voted in the election. Election records show that only 56% of registered voters voted in the election. Which of the following statements is true about the boldface numbers?

• 72% is a sample, 56% is a population

• 72% and 56% are both statistics

• 72% is a statistic and 56% is a parameter

• 72% is a parameter and 56% is a statistic

• 72% and 56% are both parameters

Tags

CCSS.HSS.IC.B.3

In one region of the country, the mean length of stay in hospitals is 5.5 days with standard deviation 2.6 days. Because many patients stay in the hospital for considerably more days, the distribution of length of stay is strongly skewed to the right. Consider random samples of size 100 taken from the distribution with the mean length of stay, x, recorded for each sample. Which of the following is the best description of the sampling distribution of x ?

• Strongly skewed to the right with mean 5.5 days and standard deviation 2.6 days

• Strongly skewed to the right with mean 5.5 days and standard deviation 0.26 day

• Strongly skewed to the right with mean 5.5 days and standard deviation 0.026 day

• Approximately normal with mean 5.5 days and standard deviation 2.6 days

• Approximately normal with mean 5.5 days and standard deviation 0.26 day

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.3