Chapter 6.1 a
The curve used to describe the distribution of a continuous random variable
What is Probability Density Curve?
What is the notation for a normal curve?
What is N(μ, σ)?
Symbol for the Sample mean
What is X̄?
The symbol n represents?
What is sample size?
Another name for a Standard Normal Distribution
What is Z-distribution?
The area under the entire curve is equal to
What is 1?
Calculator function to find exact normal probability from a bell curve or a range of values
What id NormalCDF?
The distribution of values of a statistic taken from all possible samples of the same size from a population.
What is Sampling Distribution?
In a “lesser than” probability problem, this is the lowest possible value, negative infinity can be written as...
What is -E99?
The Normal curve is s____ and u_____.
What is symmetric and unimodal?
The Normal curve's shape is defined by the ___ and _____ ______.
What is mean and standard deviation?
Calculator function used to find percentile, cut off values given the area
What is InvNorm
If asked to find the probability of a sample mean and the sample size is greater than 30, this theorem allows you to use the normal distribution.
What is Central Limit Theorem
Central limit theorem used to know if the distribution is normal in sample proportions
What is n*P ≥ 10: Or n(1-P) ≥ 10?
Find the cut-off values that define the top 16% of the standard Normal curve.
What is
1 – .16 = .84
invnorm(.84, 0, 1) = .99
In a Standard Normal Distribution the meand and the standard deviation are
What is N(0,1)?
T/F In “Normal Distribution”, you will be given mean and standard deviation
What is True
This rule helps estimate the percentage of data within one, two, and three standard deviations of the mean.
What is Empirical Rule?
The Standard deviation for sample proportion is?
What is √P(1-P)/n?
A sample of size 82 will be drawn from a population with mean 24 and standard deviation 9. What is the mean and standard deviation of the sampling distribution?
For this distribution, what is the probability that x ̅ will be less than 26
What is normalcdf(-∞, 26, 24, 9/√82 ) = .9779?
In a “greater than” probability problem, this is the highest possible value, positive infinity can be written as...
What is E99?
This is the formula for Standard Deviation for
Sample Mean Problems
What is Standard Deviation = (σ/√n) ?
A study finds that the probability of a sample mean cholesterol level being above 210 mg/dL is 0.07. This means that sample means above 210 mg/dL are considered
What is unusual?
t/f The porportion (p) is used as the standard deviation
What is False?
It is used as the mean
According to Summit Entertainment, 80% of the audience for the opening weekend of a popular movie were teenagers. If a random sample of n = 100 members of the audience were sampled,
What is the probability that the sample proportion of teenagers would be between .75 and .78?
What is normalcdf(.75, .78, .8, √((.8(.2))/100) ) = .2029?