Vocab Normal, Standard Normal, Uniform, t Point Estimate Sampling distribution of the means Confidence Interval Confidence Level / α.

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Presentation transcript:

Vocab Normal, Standard Normal, Uniform, t Point Estimate Sampling distribution of the means Confidence Interval Confidence Level / α

Chapter 5 main problem types Given one individual, find the probability they are less than / greater than / between value(s) Given a sample, find the probability the sample mean is less than / greater than / between value(s) Given a probability, find a cutoff value or sample mean so the given probability is above or below that cutoff value

Examples Men’s weights are normally distributed with a mean of μ=68in, σ=2.2in. Find the probability that a man chosen at random will be between 64 and 70in tall If 16 men are sampled, what is the probability that their mean height will be less than 66in? I am taller than 98.84% of men. How tall am I?

Chapter 6 main problem types Find a confidence interval for a proportion (percentage), given a sample size and either the sample proportion, or x (number of successes in the sample) Find a confidence interval for a mean, (usually σ unknown), given a sample size, either the sample mean or the sample data, and a standard deviation Interpret the confidence interval

Examples 400 people are surveyed. 80 indicate they have a cat. Find a 95% confidence interval for the percent of the population who own cats. 51 students are asked how many hours they work a week. The sample showed a mean of 28 hours, with a standard deviation of 6 hours. Find a 99% confidence interval for the true mean hours worked by students.

More minor problem types Determine sample size given desired margin of error Find critical value given a confidence level other than 90%, 95%, 99% (z-only)

Review Exercises Chapter 5: 1, 2 Chapter 6: 1, 2, 3