AP Stats Chapter 7 Sampling Distributions Proportions

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

A statistic is an unbiased estimator of a parameter when

• the statistic is calculated from a random sample.
• in many samples, the values of the statistic are very close to the value of the parameter.
•  in a single sample, the value of the statistic is equal to the value of the parameter
• in many samples, the values of the statistic are centered at the value of the parameter.

Tags

CCSS.HSS.IC.A.1

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

• The Population
• The Sample
• The Sampling Distribution

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

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

• The Population
• The Sample
• The Sampling Distribution

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

28% of all Steele 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

In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles.  There are 42 vowel, 56 consonants, and 2 blank tiles in the bag.  Cait chooses an SRS of 7 tiles.  Let p-hat be the proportion of vowels in her sample. 
Is the 10% condition met in this case?

• Yes.
• No.
• Not enough info to determine.

Tags

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. 
What is the mean of the sampling distribution of p-hat?

• 0.4
• 0.44
• 0.56
• 0.6

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

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

Why do we randomly select our samples?

• for control
• reduce bias
• so we don't get the same answers from everyone
• to eliminate confounding results

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3