Definitions
3 features of normal distributions
What is symmetric, single peaked, bell-shaped, described by its mean and standard deviation.
what is the mean of a sampling distribution?
equal to pop. mean
Graph where Mean=Median = Mode
What is Normal Curve?
equation for the mean
mean = np
The probability distribution of a given random-sample-based statistic.
Sampling Distribution
What is the probability of getting a 75 on a test whose mean was 82 and standard deviation of 7?
z score =-1
prob = 0.1587
formula for standard deviation of a sample distribution of sample means
pop. s.d / sqrt(n)
Graph Z>2.85 Which direction do you shade the percentile?
What is shade the area to the right?
equation for standard deviation
s.d = sqrt(npq)
The percentages used in every normal distribution for 1 standard deviations away, 2 away, 3 away from the mean.
68-95-99.7
Z score formula for sample distribution of sample means
z = x - mean/ (pop. sd/sqrt(n))
Name two of the three fish in the classroom
Nemo, Dory
2 conditions that must be met to approximate the normal distribution to a binomial
np > or = 5
nq > or =5
The standard deviation of the sampling distribution of sample means is called the....
standard error
Formula for z score
Z = x-mean/sd
What does the Central Limit Theorem state?
If a population distribution is normally distributed so will the sample distribution of sample means.
If a population distribution is not normally distributed so will the sample distribution of sample means if n is greater than or equal to 30.
Invasive Fish Species of Lake Winni
Rock Bass
Continuity Correction for probability of getting between 124 and 312 successes inclusive
p( 123.5<x<312.5)
Adding or subtracting 0.5 to the test statistic for binomial distributions. This helps approximate the binomial as a normal distribution.
Continuity Correction
The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Ronda is at the 99th percentile in height for adult women, than her height, in inches, is closest to ___.
What is 71?
The mean room and board expense per year at fourÂyear colleges is $9126. You randomly select 9 fourÂyear colleges. What is the probability that the mean room and board is less than $9400? Assume that the room and board expenses form a distribution with a standard deviation of $1500.
By the CLT we cannot make an inference about this data since the original population is not noted to be normally distributed so n = 9 has to be greater than or equal to 30 which it is not.
When was albert einstein born? Month/Day
March 14th
A dealer states that 90% of all automobiles sold have air conditioning. If the dealer sells 250 cars, find the probability that fewer than 5 of them will not have air conditioning.
What is 0.00000001