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WorksheetsData Science Statistics Review
Total questions: 18
Worksheet time: 9mins
What type of statistical distribution allows us to model events where the outcome is discrete, and each outcome has an equally likely chance of occurring. For example, the probability that you flip heads or tails on a fair coin.
Uniform Distribution
Binomial Distribution
Normal Distribution
Poisson Distribution
Which function would we use if we wanted to know the probability that a discrete random variable equals a specific value. For example, what is the probability that we roll a 3 on a die?
Cumulative Density Function (cdf)
Probability Mass Function (pmf)
Survival Function (sf)
Probability Density Function (pdf)
This distribution allows us to model a situation where a certain number of events happen over a specified time interval. It is used to predict the amount of variation from a known average rate of occurrence within a given time frame. There is not a fixed number of events, so there is no ceiling on the number of events we can have.
Uniform Distribution
Binomial Distribution
Normal Distribution
Poisson Distribution
Which function would we use if we wanted to know the probability that a random variable is more than a specific value? For example, what is the probability that we roll a value greater than 3 on a die?
Cumulative Density Function (cdf)
Probability Mass Function (pmf)
Survival Function (sf)
Probability Density Function (pdf)
Which of the following hypotheses would be considered the Alternative Hypothesis?
Tomorrow's temperature will not be the same as today. (There is a relationship between temperature and day.)
Tomorrow will be the same temperature as today. (There is no relationship between temperature and day.)
This distribution allows us to model a continuous random variable where the further away from the mean you are, the less likely the outcome. It is defined by a mean and a standard deviation. It is symmetric in shape, and the mean, median, and mode are equal.
Uniform Distribution
Binomial Distribution
Normal Distribution
Poisson Distribution
Which type of t-test would we use if we wanted to find out if there is ANY difference between the means of two subgroups of a population? (a non-directional difference)
one-sample, one-tailed t-test
two-sample, two-tailed t-test
one-sample, two-tailed t-test
two-sample, one-tailed t-test
Which of the following are common assumptions we make when performing a t-test?
Normality: normal distribution of data. Little skewness and no outliers.
Sample Size: adequate sample size.
Equality of Variance: similarity of variance throughout data. Standard deviations of sample are approximately equal
Random Sample: data collected from representative, randomly selected portion of the total population.
Independence of the observations: Each subject should belong to only one group. There is no relationship between the observations in each group.
What type of statistical test would we use if we want to find out if two continuous variables have a statistically significant relationship? Maybe we are looking at how hours studied relates to exam scores or how height relates to weight. (Examples: pearson r, spearman)
chi-square test
correlation test
t-test
Which of the following hypotheses would be considered the Null Hypothesis?
Tomorrow's temperature will not be the same as today. (There is a relationship between temperature and day.)
Tomorrow will be the same temperature as today. (There is no relationship between temperature and day.)
This distribution allows us to model the number of successes after a fixed number of trials, given a certain probability of success. This distribution assumes that each trial is independent. (Discrete, fixed # of events.) For example, the probability of throwing a 1 five times out of thirty-five tries.
Uniform Distribution
Binomial Distribution
Normal Distribution
Poisson Distribution
What type of statistical test would we use if we want to determine whether there is a statistically significant difference between the expected and observed frequencies in one or more categories? In other words, if we want to test for group membership.
chi-square test
correlation test
t-test
When doing hypothesis testing, what type of error do we make if we fail to reject our Null Hypothesis when in reality it is not True and should have been rejected? (For example, our test indicates there is not a relationship in the population, but in reality there IS a relationship.)
Type I Error, a false alarm
Type II Error, a miss
Which function would we use if we wanted to know the probability that a random variable is less than or equal to a specific value? For example, what is the probability that we roll a 3 or lower on a die?
Cumulative Density Function (cdf)
Probability Mass Function (pmf)
Survival Function (sf)
Probability Density Function (pdf)
Which type of t-test would we use if we wanted to find out if the mean of a subgroup of a population is less than the population mean? (a directional difference)
one-sample, one-tailed t-test
two-sample, two-tailed t-test
one-sample, two-tailed t-test
two-sample, one-tailed t-test
What type of statistical test would we use if we want to compare a categorical and a continuous variable by comparing the mean of the continuous variable by subgroups or the mean of a subgroup to the mean of the population?
chi-square test
correlation test
t-test
When doing hypothesis testing, what type of error do we make if we reject our Null Hypothesis when in reality it is True? (For example, our test indicates there is a relationship in the population, but in reality there is no relationship.)
Type I Error, a false alarm
Type II Error, a miss
What is the first step we should take in Hypothesis Testing?
Set a Significance Level, alpha.
Select the appropriate statistical test.
Formulate the Null and Alternative Hypotheses.
Adjust your alpha, so your p-value is lower.
