Empirical Rule
Standard Normal Distribution
Conditions for Inference
Creating Sampling Distributions
100
For data that is normally distributed, this is the proportion of data within two standard deviations.
What is 95%?
100
This is the mean and standard deviation of the standard normal distribution.
What is
mu= 0 and sigma =1?
100
This condition ensures there is no bias and makes the binomial condition work.
What is the "random" condition?
100
It is suspected that only 40% of students get at least 8 hours of sleep at night. Oshkosh surveys 120 random students about this issue. This is the reason the sampling distribution of the proportion of students that get at least 8 hours of sleep is normal.
What is "(.4)(120) and .6(120) are both larger than 10"?
200
In a normal distribution, this percent of data lies more than one standard deviation away from the mean (combined in both tails).
What is 32%?
200
If a data set is normally distributed, what percent of the data will be within 1.5 standard deviations?
What is 86.6%?
200
The "large counts" conditions ensures that the sampling distribution will be approximately normal. This is the mathematical rule to use to check this condition.
What is the "np and n(1-p) must be larger than 10"?
200
It is suspected that only 40% of students get at least 8 hours of sleep at night. Oshkosh surveys 120 random students about this issue. This is the mean of the sampling distribution for the proportion of students who get less than 8 hours of sleep.
What is .4?
300
The Empirical Rule can only be applied when the distribution has this shape.
What is approximately normal (bell-shaped and symmetric)?
300
This is the number of standard deviations away from the mean the middle 80% of data will be in a normal distribution.
What is 1.28 standard deviations?
300
To meet the independent trials condition, either the sample is drawn with replacement or "this" must be true about the size of the sample.
What is "the sample is less than 10% of the population"?
300
It is suspected that only 40% of students get at least 8 hours of sleep at night. Oshkosh surveys 120 random students about this issue. This is the standard deviation of the sampling distribution of the proportion of students who get less than 8 hours of sleep.
What is 0.0447?
400
In a normal distribution, this percent of data lies more than three standard deviations away from the mean (combined in both tails).
What is 0.3%?
400
This statistic measures how many standard deviations a data value is above or below the mean.
(vocabulary word!!!)
What is a z-score?
400
This condition for inference is not met in this scenario: A random sample is taken from the 525 students at WHS and finds that 97 out of the 122 students surveyed will be pursuing some type of schooling after high school.
What is the "independence" condition?
400
It is suspected that only 40% of students get at least 8 hours of sleep at night. Oshkosh surveys 120 random students about this issue. What is the probability of finding a sample of 120 students that shows more than 50% of students get at least 8 hours of sleep?
What is 1.3%?
