Conditions and Assumptions
The 3 labels for conditions and assumptions of Sampling Distributions are...
What are:
1. Random
2. Independence
3. Large Enough
To consistently overestimate or underestimate the value of a parameter.
What is BIAS
This symbol represents:
μ
What is the mean of a population
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
What is Mrs. Rizz's son's name?
Jordan
The conditions/assumptions that verifies the proper use of the Normal Model is....
What is the Large Enough condition
The standard deviation of the sampling distribution of means is equal to...
What is σ/√n
This symbol represents:
p-hat
What is sample proportion
The weight of bananas chosen at random from a bin at the market follows a normal distribution with the mean = 4oz and standard deviation = 0.3oz. Suppose we pick 4 bananas and find their total weight T. The random variable T is:
a. normal with a mean of 4 and sd of 0.3
b. normal with a mean of 16 and sd of 1.2
c. normal with a mean of 16 and sd of .60
d. skewed right with a mean of 16 and sd of 1.2
e. skewed right with a mean of 4 and sd of 0.3
c. normal with a mean of 16 and sd of .60
What sport(s) did Mrs. Rizz play in college?
Soccer and Lacrosse
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
Numeric values that describe a population are known as...
What are parameters
This symbol represents:
s
What is the sample standard deviation
Why is it important to check the 10% condition before calculating probabilities involving x-bar and p-hat?
a. to reduce the variability
b. to ensure the distribution is approximately normal
c. to ensure we can generalize the results to a larger population
d. to ensure that the statistics is an unbiased estimator
e. to ensure that the observations in the sample are close to independent.
e. to ensure that the observations in the sample are close to independent.
What is Mrs. Rizz's favorite color?
Orange
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
The standard deviation for a sampling distribution of proportions is equal to...
What is √(pq/n)
This symbol represents:
μx-bar
What is the mean of a sampling distributions of means
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)
What is Mrs. Rizz's maiden name?
Heerwagen
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
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
This symbol represents:
σp-hat
What is the standard deviation for a sampling distribution of proportions
Researchers conducting a study of voting chose 663 registered voters at random after an election. Of these people, 72% said they had voted in the election. Election records show that only 56% of registered voters voted in the election. Which of the following is true?
a. 72% is a sample, 56% is a population
b. 72% and 56% are both statistics
c. 72% is a statistic, 56% is a parameter
d. 72% is a parameter, 56% is a statistic
e. 72% and 56% are both parameters
c. 72% is a statistic, 56% is a parameter
What is Mrs. Rizz's favorite number?
12