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Hypothesis Testing for the Mean: not known

Hypothesis Testing for the Mean: not known. Testing a Claim about a Mean: not Known. We first need to make sure we meet the requirements. The sample observations are a simple random sample. The value of the population standard deviation is not known Either the Population is normal, or

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Hypothesis Testing for the Mean: not known

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  1. Hypothesis Testing for the Mean: not known

  2. Testing a Claim about a Mean: not Known We first need to make sure we meet the requirements. • The sample observations are a simple random sample. • The value of the population standard deviation is not known • Either the Population is normal, or Test Statistic for Testing a Claim about a Proportion

  3. Testing a Claim about a Mean: Known P-value method in 5 Steps • State the hypothesis and state the claim. • Compute the test value. (Involves find the sample statistic). • Draw a picture and find the P-value. • Make the decision to reject or not. (compare P-value and • Summarize the results.

  4. Testing a Claim about a Mean: Known A simple random sample of 40 recorded speeds is obtained from cars traveling on a section of Highway 405 in Los Angeles. The sample has a mean of 68.4 mi/h and a standard deviation of 5.7 mi/h Use a 0.05 significance level to test the claim that the mean speed of all cars is greater than the posted speed limit of 65mi/h. • 1. and • P-value • 0.000537 < 0.05 so we reject the null. • There is sufficient evidence to support the claim that the mean is greater than 65 mi/hr. Or use [Stat]Test

  5. Testing a Claim about a Mean: Known • In an analysis investigation the usefulness of pennies, the cents portions of 100 randomly selected credit card charges are recorded. The sample has a mean of 47.6 cents and a standard deviation of 33.5 cents. If the amounts from 0 cents to 99 cents are all equally likely, the mean is expected to 49.5 cents. Use a 0.01 significance level to test the claim that the sample is from a population with a mean equal to 49.5 cents. What does the result suggest about the cents portions of credit charge charges?

  6. Testing a Claim about a Mean: Known • Homework!! 8-5: 13-27 odd

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