1. Dwight and Angela each want to estimate the percentage of cat owners in Scranton, Pennsylvania. Angela selects a simple random sample of 200 Scranton residents to survey about cat ownership, and Dwight selects a simple random sample of 50 Scranton residents to survey about cat ownership. Think carefully about what you'd expect the samplingdistributions of the sample proportion to look like for samples of size 200 versus samples of size 50. How would you expect the means (or centers) of these two sampling distributions to compare?

A) Both sampling distributions will have the same mean.

B) The sampling distribution based on samples of size 200 will have a larger mean.

C) The sampling distribution based on samples of size 200 will have a smaller mean.

D) Angela's mean will be exactly four times bigger than Dwight's mean since her

sample is four times bigger than Dwight's sample.

E) It's impossible to know how the means will compare without knowing the

sample proportions that Dwight and Angela obtained.

2) It has been reported that 85% of all college students own a smartphone If we survey a simple random sample of n = 175 college students and ask if they own a smartphone, the percentage who say "Yes" will vary if the sampling method is repeated. In fact, the sampling distribution of the percentage who say they own a smartphone (based on samples of size n = 175) will be Normal in shape, with a mean (or center) of 85% and a standard deviation 2.7%. Based on this information, we know that the probability of obtaining a sample of size

n = 175 where 88% or more of the students say they own a smartphone is

A. 0.0968.

B. 0.9713.

C. 0.1357.

D. 0.0287.

E. 0.8643.

3) Return to Question 2. What is the probability of obtaining a sample of size n = 175 where 78% or fewer of the students say they own a smartphone?

A. 0.0030

B. 0.0047

C. 0.0107

D. 0.0227

E. 0.4700

4) Which of the following statements about the sampling distribution of the sample proportion is correct?

1. As the sample size gets smaller, the standard deviation of the sampling distribution gets smaller.

B) As the sample size gets bigger, the standard deviation of the sampling distribution gets smaller.

C) As the number of samples drawn from the population gets bigger, the standard deviation of the sampling distribution gets smaller.

D)As the number of samples drawn from the population gets smaller, the standard deviation of the sampling distribution gets smaller.

E)It's the size of the population, not the size of the sample, that determines the size of the standard deviation of the sampling distribution.

5) June 26th is National Coconut Day. In honor of this occasion, a nutritionist surveys a random sample of 85 of her clients about their coconut eating habits. Of the 85 clients surveyed, 29 indicated they had eaten a product containing coconut in the last month. This means the sample proportion must be equal to

A. 0.85.

B. 0.29.

C. 0.34.

D. 0.66.

E. 0.50.

6) The name for the pattern of values that a statistic takes when we sample repeatedly from the same population is known as

A) the standard deviation.

B) the bias of the statistic.

C) the sampling error.

D) the sampling distribution of the statistic.

E) the scale of measurement of the statistic.

7) According to a recent news report, 20% of all drivers have received at least one speeding ticket. Let's say we choose a simple random sample of 1000 drivers and determine the percentage who have received at least one speeding ticket. We know, if the sampling method is repeated, that the sample percentage will vary from sample to sample. In fact, if we look at the sampling distribution in this case, we will see a distribution that is Normal, with a mean (or center) of 20% and a standard deviation of 1.3%. From this information, we know the middle 68% of this distribution will be between approximately what two values?

A. 19.3% and 20.7%

B. 18.7% and 21.3%

C. 18% and 22%

D. 17.4% and 22.6%

E. 16.1% and 23.9%

8) We want our sampling distribution to be Normal in shape so we can use what we know about Normal distributions to answer different types of questions. Which of the following will better ensure that a sampling distribution has a Normal shape?

A) The population proportion is less than 0.60.

B) he sample size is "large enough."

C) The population includes more than 10,000 individuals.

D) All of the above answers are correct.E)

None of the above answers are correct.

9) You are interested in first-generation college students (i.e., students who are the first ones in their families to attend college). You survey a simple random sample of 225 college students in order to determine the proportion who are first-generation students. Suppose that in the population, 56% of all college students are considered first-generation students. The sampling distribution (based on samples of size n = 225) of the sample proportion who are first-generation students is Normal, with a mean (or center) of 0.56 and a standard deviation of 0.03. Based on this information, approximately what percentage of samples would you expect have sample proportions less than 0.50?

A. 2.5%

B. 5%

C. 16%

D. 32%

E. 68%

Return to the information given in Question 9. Approximately what percentage of samples would you expect to have sample proportions greater than 0.59?

A. 2.5%

B. 5%

C. 16%

D. 32%

E. 50%

10) It has been reported that 85% of all college students own a smartphone If we survey a simple random sample of n = 175 college students and ask if they own a smartphone, the percentage who say "Yes" will vary if the sampling method is repeated. In fact, the sampling distribution of the percentage who say they own a smartphone (based on samples of size n = 175) will be Normal in shape, with a mean (or center) of 85% and a standard deviation 2.7%. Based on this information, we know that the probability of obtaining a sample of size

n = 175 where 88% or more of the students say they own a smartphone is

A. 0.0968.

B. 0.9713.

C. 0.1357.

D. 0.0287.

E. 0.8643.