Normal Distribution
Experiments/Sampling
Probability
Statistics vocab
Binomial and Geometric
100
The amount of mustard dispensed from a machine at the hot dog emporium is normally distributed with a mean of 0.9 ounces and a standard deviation of 0.1 ounce. If the machine is used 500 times, approximately how many times will it be expected to dispense 1 or more ounces of mustard?
What is 79.5
100
The difference between an observational study and an experiment.
What is an observational study is where those hosting the experiment observe but do not influence, while an experiment deliberately imposes some treatment on individuals in order to observe their response
100
Define Probability
The chances that an event will happen
100
Define hypothesis testing
Hypothesis testing in statistics is a way for you to test the results of a survey or experiment to see if you have meaningful results.
100
Define n and p
n is the number of observations p is the probability of success
200
A machine is used to fill soda bottles. The amount of soda dispensed into each bottle varies slightly. Suppose the amount of soda dispensed into the bottles is normally distributed. If at least 99% of the bottles must have between 585 and 595mL of soda, find the greatest standard deviation, to the nearest that can be allowed.
What is 1.67mL
200
Define a simple random sample.
What is a simple random sample of size n consists of n individuals from the population chosen a way that every set of n individuals has an equal chance to be the sample actually selected.
200
A pair of dice are rolled. What is the probability of rolling 10 or less?
What is 33/36 or .916666667
200
Define variance.
What is The average of the squared differences from the Mean.
200
1. Each observation falls into one of just two categories, which for convenience we call “success” or “failure.” 2. The n observations are all independent. 3. There is not a fixed number of observations 4. The probability of success is the same for each observation. Are these statements correct for Binomial Distributions?
NO, there is a fixed number of observations
300
A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed. How many students are younger than 16.2 years? Express answer to the nearest student?
What is 467 students
300
Define a probability sample.
What is a sample chosen by chance. We must know what samples are possible and what chance, or probability, each possible sample has.
300
Jason and Eric discovered that the means of their grades for the first marking period in their math class were identical. They also noticed that the standard deviation of Jason's grades is 20.7, while the standard deviation of Eric's grades is 2.7. Whose grades are more consistent?
Eric's grades are more consistent than Jason's grades.
300
What is the difference in continuous and discrete data?
Discrete data is counted, Continuous data is measured
300
What is the difference between a Binomial and Geometric Distribution?
In the binomial setting we have a fixed number of observations and we count the number of successes in those n observations. In the geometric setting we are looking for how many trials we need to obtain the first success.
400
Andrew Vinson scores in chemistry this semester were inconsistent: 100, 85, 55, 95, 75, and 100. For this population, how many scores are within 1 standard deviation of the mean?
What is 5 scores
400
The ability to grow in shade may help pines found in the dry forests of Arizona to resist drought. How well do these pines grow in shade? Investigators planted pine seedlings in a greenhouse in either full light or light reduced to 5% of normal by shade cloth. At the end of the study, they dried the young trees and weighed them. Identify the experimental units, the factors, the treatments, and the response variables
Units are the individual trees. Factors is the amount of light. Treatments are full light or reduced light. Response variable is the weight of trees
400
A bag contains 12 red Skittles, 12 blue Skittles, and 12 green Skittles candies. What is the probability of drawing two candies of the same color in a row, when the first candy drawn is looked at and eaten?
What is 11/35 or .314
400
Define a cumulative frequency.
What is The total of a frequency and all frequencies so far in a frequency distribution.
400
What is the expected value and does it apply to binomial or geometric distributions?
The expected value is the expected number of trials required to get the first success. It applies to Geometric Distributions
500
Residents of upstate New York are accustomed to large amounts of snow with snowfalls often exceeding 6 inches in one day. In one city, such snowfalls were recorded for two seasons and are as follows (in inches): 8.6, 9.5, 14.1, 11.5, 7.0, 8.4, 9.0, 6.7, 21.5, 7.7, 6.8, 6.1, 8.5, 14.4, 6.1, 8.0, 9.2, 7.1 What are the mean and the population standard deviation for this data, to the nearest hundredth?
What is a mean of 9.46 inches and a standard deviation of 3.74
500
A newspaper advertisement for USA Today: The Television Show once said: "Should handgun control be tougher? You call the shots in a special call-in poll tonight. If yes, call 1-980-223-9347. If no, call 1-704-883-6663." Explain why this opinion poll is almost certainly biased.
Only persons with a strong opinion on the subject- strong enough that they are willing to spend the time- will respond to this advertisement.
500
In one state, 52% of the voters are Republicans, and 48% are Democrats. In a second state, 47% of the voters are Republicans, and 53% are Democrats. Suppose a simple random sample of 100 voters are surveyed from each state. What is the probability that the survey will show a greater percentage of Republican voters in the second state than in the first state?
What is 0.24
500
What is the difference in "Combination" and "Permutation"
If the order doesn't matter, it is a Combination. If the order does matter it is a Permutation.
500
What are the mean and standard deviation equations of a geometric random variable?
Mean= 1/p Standard Deviation= √1-p/p
M
e
n
u