Unit 6 Quiz 1 Review (Sampling Distributions)

To reduce the variability of a sampling distribution, what should you do?

• decrease the sample size

• increase the sample size

• decrease the parameter

• increase the parameter

What must be true for a sampling distribution to be considered approximately normal? (select TWO)

A t-shirt manufacturer claims that 12% of shirts have an error in printing. A purchaser of these shirts is skeptical and decides to select a random sample of 300 shirts and calculate the proportion of the shirts that have a printing error. Is the sampling distribution approximately normal? (HINT: Use the Large Counts Condition)

• Yes

• No

When p̂ differs from sample to sample, we say this is an example of

• variability

• bias

• the large counts condition

• standard deviation

Researchers will conduct a study of the television viewing habits of children. They will select a random sample of children and record the number of hours of television the children watch per week. Which of the following statements is correct?

• A sample of size 25 will produce more variability in the sampling distribution than a sample of size 50 will.

• A sample of size 25 will produce less variability in the sampling distribution than a sample of size 50 will.

• 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 an unbiased estimator, but a sample size of 50 will produce a biased estimator.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.2

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

(SR.DSR.4.3

A distribution showing the sample means of all sample of size n of a population is called

• Normal Distribution
• Binomial Distribution
• Sampling Distribution
• Uniform Distribution

Tags

(SR.DSR.4.3

28% of all CCHS students believe Monday will be a snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What does 50 represent? 

• n
• P
• phat
• standard deviation

Tags

(SR.DSR.4.3

When sampling from a population with proportion p, the distribution of sample proportions (p-hat) will vary. What will be the mean of all possible sample proportions?

• p

Tags

(SR.DSR.4.3

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

(SR.DSR.4.3