Binomial and Normal Distributions: Quiz Questions

Summary

Binomial and normal distributions are covered. Students get practice with probabilities, confidence intervals and hypothesis testing.

Binomial Distribution Problems

Binomial situations are explained. Students calculate probabilities using a binomial formula. They use given values for n and p. They work out the probabilities of specific events.

Normal Distribution Problems

Normal populations are described. Students compute probabilities for values between two points. They use z-values and standard normal tables. They find probabilities for values above or below a point.

Hypothesis Testing

Hypothesis testing is demonstrated. Students state null and alternative hypotheses. They compute test statistics and make decisions based on p-values and significance levels. They apply this to different scenarios.

Key terms

Binomial distribution

A probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials.

Normal distribution

A symmetric probability distribution with a bell-shaped curve.

Z-value

The number of standard deviations a data point is from the mean.

Confidence interval

A range of values that is likely to contain a population parameter.

Hypothesis testing

A statistical method that uses sample data to test a hypothesis about a population.

P-value

The probability of obtaining test results at least as extreme as the results actually observed, under the assumption that there is no effect.

Questions this document helps with

• How do you calculate binomial probabilities?
• What are the steps for computing normal probabilities?
• When do you reject the null hypothesis in testing?

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