Terms and Definitions
Sampling Distributions: Sampling Means
Sampling Distributions: Sampling Proportions
Mrs. Jordan Trivia
100

This is the distribution of possible values of a statistic from all possible samples of the same size from the same population

What is a Sampling Distribution?

100

This is the concept that a sampling distribution of significant size will always form a normal distribution, regardless of the shape of the population that the samples are drawn from.

What is the Central Limit Theorem?

100

In order for our sample proportion to be treated as a normal distribution, the sample be this type.

What is a random sample?

100

The number and type of pets Mrs. Jordan has.

Two Dogs-- Leia & Wallace

200

This is a number or measurement that describes a population.

What is a parameter?

200

Name the theorem and the size of a the sample necessary to assume that the sampling distribution of sample means is approximately normal.

What is a sample size of at least 25?

200

State the formula we learned to find the standard deviation of a sample proportion.

sigma(p-hat) = sqrt((p(1-p))/n)

200

Mrs. Jordan's son had his birthday this week. What is his name and how old did he turn?

Andy turned 6!

300

This is a number or measurement that describes a sample

What is a statistic?

300

State the formula to find the standard deviation of a sample mean.

sigma(xbar) = sigma/sqrt(n)

300

What are the conditions to assume the sampling distribution of sample proportions is approximately normal?

The sample size must be large enough np^>10 and n(1−p^)>10.

300

This is the year Mrs. Jordan was born.

1989

400

The mean of the samping distribution is centered (or equal to) the parameter.

What is unbiased estimator? 

400

In Weaksauce City, the mean length of a stay in hospitals is 5.5 days with standard deviation of 2.6 days. This distribution can't be normal, however, because hospital visits for specific injuries skew the graph strongly to the right. Consider random samples of size 100 taken from the distribution with the mean length of stay, xbar, recorded for each sample. Describe the sampling distribution of xbar.

What is

Shape: approximately normal

Center: mu_xbar = mu = 5.5

Spread: sigma_xbar = 0.26


400

Hershey claims that 10% of all M&Ms are blue. Assume that the M&Ms in a 1 pound bag form an SRS from all M&Ms. The particular bag we examine contains 318 M&Ms. Determine the standard deviation based on this information. 

What is 0.168?

400

How many years has Mrs. Jordan graded AP Statistics Exams?

500

This is a comparison (ratio) between two values, may be expressed as a fraction, decimal or percent.

What is a proportion?

500

A population is approximately Normal with a mean of 18 and a standard deviation 4.4. If a sample of 25 is taken from the population. Find the probability that the mean of a sample will be greater than 20.

P(X-bar > 20)= 0.012

500

The proportion of students that have a job in high school is 0.194 

What is the probability that a random sample of 36 students will have a proportion of 0.21 or higher?

What is 0.404?

500

How many countries has Mrs. Jordan lived in?

4