5 - Binomial Distribution Flashcards
(12 cards)
What is the central limit theorem?
The central limit theorem states that the sampling distribution of the sample mean will approximate a normal distribution as the sample size becomes large, regardless of the population’s distribution.
Define a p-value in hypothesis testing.
A p-value is the probability of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true.
What is multicollinearity in regression analysis?
Multicollinearity occurs when two or more predictor variables in a regression model are highly correlated, making it difficult to isolate the individual effect of each predictor.
How is the confidence interval for a mean calculated when the population standard deviation is unknown?
x + or - t x s/root n
What does a Type II error signify in hypothesis testing?
A Type II error occurs when the null hypothesis is accepted even though it is false.
The mean and median are always equal in a symmetric distribution. True or False?
True.
A smaller p-value always indicates a more significant effect size. True or False?
False. A small p-value indicates stronger evidence against the null hypothesis but does not measure effect size.
A large sample size always reduces the chance of Type I error.
False. Type I error rate is set by the significance level (α), not the sample size.
The t-distribution becomes closer to the normal distribution as the degrees of freedom increase. True or False?
True. As the sample size increases, the t-distribution approaches the standard normal.
Correlation implies causation. True or False?
False. Correlation measures association, not cause and effect.
The confidence level tells you the probability that a particular confidence interval contains the population parameter. True or False?
False. The confidence level refers to the long-run proportion of intervals that contain the parameter, not the probability for a single interval.
What are the parameters of a binomial distribution?
n and p
