Intro To Normal Distribution & Standard Normal Distribution
Normal Distributions :
Finding Probablilities
Finding Probablilities
Z ain't just for zombies!
Sampling Distributions & The Central Limit Theorem
Sampling Dist. of Proportions
100
With a bell-shaped, symmetric curve, _____ % of the data lie within one standard deviation of the mean.
What is 68?
100
What Is The Area under The Bell Shape Curve ?
What is 1 .
100
How do you transform A Standard z-Score To A Data Value x In A Given Population ?
If
z=(x-mu)/sigma
then
x = (z)(sigma)+mu
100
The mean ACT composite score in recent year is 20.8 A random sample of 36 ACT composite scores is selected from the population. What is the probability that the mean score is less than 21.6, assuming the standard deviation is 5.6?
What is
0.8051?
100
If the probability of success is p, the probability of NOT success is. . .?
What is 1-p = q?
200
With a bell-shaped, symmetric curve, _____ % of the data lie within two standard deviations of the mean.
What is 95%
200
What is the formula used to find your z-score for a normal distribution in words?
z = (x-mu)/(sigma)
200
What z-score would be associated with a probability close to 1.00? Mean is 0 and standard deviation is 1
What is 3.49 or 3.5?
200
The mean ACT composite score in recent year is 20.8 A random sample of 36 ACT composite scores is selected from the population. What is the probability that the mean score is more than 19.8 , assuming the standard deviation is 5.6?
What is 0.8577?
200
a census was conducted and found that 12,000 residents said yes to a question. If there are 13,500 in the population, find mu_p .
The proportion is 12,000/13,500 = .bar(88) .
300
About ____-% of the data of the data lie within 3 standard deviations of the mean.
What is 99.7%
300
A variable of interest has a mean of 12.5 and a standard deviation of 2.5. Find the z-score for a value of 13
What is z = 0.2
300
What is the area under the standard normal curve to the right of z = 0.015? Standard deviation is 1 and mean is 0.
What is 0.4940?
300
What Is The Standard Error Of The Mean ?
What is The Standard Deviation Of The Sampling Distribution Of The Sample Mean
300
72% of residents in a town lock their doors at night. A recent survey of 1500 residents was conducted. Find the standard deviation?
sigma = sqrt(((.72)(.28))/1500) approx .0116
400
The Normal Distribution With A Mean Of 0 And A Standard Deviation Of 1 Is Called . . .
What is The Standard Normal Distribution
400
What is the probability or area associated with a z-score of 0.34?
What is 0.6331?
400
Would a z score of -1.5 be above or below the mean?
What is Below? Remember z-scores are standard deviations. a negative z-score indicates a value below the mean.
400
What Is The Standard Deviation Of The Sample Mean Equal To ?
What is Equal To The Population Standard Deviation
400
To Verify a proportion distribution is a normal distribution . . . we need to calculate what??
make sure:
np>=10
and
n(1-p)>=10
500
What is the name of the rule that specifics that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ)
What is Empirical Rule?
500
What is the z-score associated with an area of 0.9082?
What is 1.33?
500
calculate the standard deviation for the data set by hand:
{4, 3, 6, 5, 5, 7}
500
Every Sample Statistic Has What ?
What is A Sampling Distribution
500
A population has a proportion vale of 37% for some characteristic. A sample of 49 residents was conducted, find the probability the sample proportion is less than 35%
What is .3859?