Conditions and Assumptions
The 3 labels for conditions and assumptions of Sampling Distributions are...
What are:
1. Random
2. Independence
3. Large Counts/CLT
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
🎶 “You are my sunshine, my only sunshine…” 🎶
Finish the lyric AND name the statistic that measures variability in a population.
What is “you make me happy when skies are gray” and the standard deviation?
The conditions/assumptions that allows us to determine the shape is normal for proportions is...
What is the Large Counts condition
If I want to cut my standard deviation of my sampling distribution in half, how do I change my sample size?
This symbol represents:
p-hat
What is sample proportion
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.
🎶 “I got that sunshine in my pocket…” 🎶
Finish the lyric and name the measure of center that is not resistant to outliers
What is “got that good soul in my feet
The condition we must check to use the standard deviation formula is...
What is 10*sample size < total population the sample size must be less than 10% of the total population
Or independent
This is the distribution formed by taking many random samples of the same size and recording the value of a statistic each time.
what is the sampling distribution
This symbol represents:
s
What is the sample standard deviation
This term describes a result that would be very unlikely to occur by random chance alone if the null hypothesis were true.
What is statistically significant
🎶 “We’re all in this together
Once we know that we are, we’re all stars…” 🎶
Finish the lyric AND identify the type of distribution you would use to model the number of successes in a fixed number of independent trials with the same probability.
What is “we’re all in this together, and we’re all stars” and a binomial distribution?
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
This describes the distribution of values from a single random sample.
What is a sample distribution
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)
Who lives in a pineapple under the sea?
SpongeBob SquarePants
Absorbent and yellow and porous is he
SpongeBob SquarePants
Finish the lyrics and tell me how much data lies outside 2 standard deviations
What is If nautical nonsense be something you wish
SpongeBob SquarePants and 5 percent
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
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
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)
Yeah, I got boy problems, that's the human in me
Bling bling, then I solve 'em
Finish the lyrics and answer... If your observed result is far outside the cloud of simulated results, it is considered this.
What is that's the goddess in me
statistically significant/unlikely due to chance