Conditions and Assumptions
Vocabulary/Formulas
Notation
Sampling Distributions
Random Trivia
100

The 3 labels for conditions and assumptions of Sampling Distributions are...

What are:

1.  Random

2.  Independence

3.  Large Enough

100

To consistently overestimate or underestimate the value of a parameter.

What is BIAS

100

This symbol represents:

μ

What is the mean of a population

100

A researcher initially plans to take an SRS of size n from a population that has mean 80 and standard deviation 20. If he were to double his sample size (to 2n), the standard deviation of the sampling distribution of the sample mean would be multiplied by

What is 1/√2

100

WNBA's "Point Goddess"

Who is Caitlin Clark?

200

The conditions/assumptions that verifies the proper use of the Normal Model is.... 

What is the Large Enough condition

200

The standard deviation of the sampling distribution of means is equal to...

What is σ/√n

200

This symbol represents:

p-hat

What is sample proportion

200

The student newspaper at a large university asks an SRS of 250 undergraduates, “Do you favor eliminating the carnival from the term-end celebration?” All in all, 150 of the 250 are in favor. Suppose that 55% of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size n = 250 from this population, the parameters of the sampling distribution of p-hat would be...

What is approximately Normal with mean 0.55 and standard deviation 0.03.

200

4 of the top 10 U.S. cities in population are in this state

What is Texas?

(Houston, San Antonio, Dallas/Fort Worth, Austin)

300

The condition for independence states:

What is 10*sample size < total population

OR

What is the sample size must be less than 10% of the total population

300

Numeric values that describe a population are known as...

What are parameters

300

This symbol represents:

s

What is the sample standard deviation

300

A probability distribution of a statistic that is obtained through repeated sampling of a specific population.

What is a Sampling Distribution?

300

In 1990 this "Bridge Over Troubled Water" duo was inducted into the Rock & Roll Hall of Fame

Who is Simon & Garfunkel

400

The Central Limit Theorem states that, even if the population distribution is skewed, you may use the properties of a Normal Model so long as your sample size is at least...

What is 30

400

The standard deviation for a sampling distribution of proportions is equal to...

What is √(pq/n)

400

This symbol represents:

μx-bar

What is the mean of a sampling distributions of means

400

The Wechsler Adult Intelligence Scale (WAIS) is a common “IQ test” for adults. The distribution of WAIS scores for persons over 16 years of age is approximately Normal with mean 100 and standard deviation 15. 

The probability that the average WAIS score of an SRS of 60 people is 105 or higher is 

What is 0.0049

P(x-bar>105) = P(z>2.582)

400

Tolkien used this Old English word for "monster" as a synonym for "goblin"

What is orc

500

Suppose we select a SRS of n=100 from a large population having proportion p of successes.  Let p-hat be the proportion of successes in the sample.  The value of p for which it would be safe to use the Normal approximation to the sampling distribution of p-hat is

A) 0.01    B) 1/11    C) 0.85    D) 0.975   E) 0.999   

What is (C) 0.85

500

DAILY DOUBLE!!!

The Gallup Poll has decided to increase the size of its random sample of voters from about 1500 people to about 4000 people right before an election.  The poll is designed to estimate the proportion of voters who favor a new law banning vaping in public buildings.  The effect of this increase is to

What is reduce the variability of the estimate

500

This symbol represents:

σp-hat

What is the standard deviation for a sampling distribution of proportions

500

A polling organization asks an SRS of 1500 first-year college students how far away their home is. Suppose that 35% of all first-year students attend college within 50 miles of home.

Find the probability that the random sample of 1500 students will give a result within 2 percentage points of this true value.

What is 0.8968

P(33<phat<37) = P(-1.63<z<1.63)

500

This atoll 1,300 miles NW of Honolulu, the site of a 1942 naval battle, is actually 2 small islands: Sand & Eastern

What is Midway