Which of the following distributions are likely to be skewed to the right? I. Household prices II. Home prices III. Ages of teenage drivers
What is I and II
A student reasons that he will or will not receive a 5 on the AP Statistics Exam, and therefore the probability of receiving a 5 is .50. Why is this incorrect reasoning?
Obviously.
JK, this is binary, not equal probability.
It turns out that 25 seniors at Fashionable High School took both the AP Statistics exam and the AP Spanish Language exam. The mean score on the Statistics exam for the 25 seniors was 2.4 with a standard deviation of 0.6 and the mean score on the Spanish Language exam was 2.65 with a standard deviation of 0.55. We want to combine the scores into a single score. What are the correct mean and standard deviation of the combined scores?
5.05; you cannot determine the standard deviation from this information because the students were not independent.
Suppose the average score on a national test is 500 with a standard deviation of 100. If each score is increased by 25% and then we subtract 100, what are the new mean and standard deviation?
What is 525 and 125
The 2000 Census identified the ethnic breakdown of the state of California approximately as follows: White: 46%, Latino: 32%, Asian: 11%, Black: 7%, and Other: 4%. Assuming that these are mutually exclusive categories (this is not a realistic assumption, especially in California), what is the probability that a random selected person from the state of California is of Asian or Latino descent?
What is 43%
This is the concept where the experimental probability tends toward the true probability as you perform more trials.
What is the law of large numbers
A school superintendent must make a decision whether or not to cancel school because of a threatening snowstorm. This is the result of a Type I error.
What is weather remains dry, but school is needlessly canceled.
Which is typically more severe, Type I or Type II error?
Depends on the context.
You own an unusual die. Three faces are marked with the letter "X," two faces with the letter "Y," and one face with the letter "Z." What is the probability that at least one of the first two rolls is a "Y"?
What is 5/9
When a set of data has suspect outliers, these are the preferred measures of center and spread.
What are median and IQR?
This is the probability and event will occur given that another event has occurred.
What is conditional probability?
This is the probability of mistakenly failing to reject a false null hypothesis when a hypothesis test is being conducted at the 5% significance level.
What is β?
The probability of correctly rejecting the null hypothesis when the null hypothesis is false.
What is power?
The GPA (grade point average) of students who take the AP Statistics exam is approximately normally distributed with a mean of 3.4 with a standard deviation of 0.3. What is the probability that a student selected at random from this group has a GPA lower than 3.0?
What is 0.0918