Supposed that we wish to test H 0 80 versus H a 80, where the population standard deviation is known to equal 20 Also, suppose that the sample of 100 measurements randomly selected from the population has a mean equal to 85 Calculate the value of the test statistic z By comparing z with a critical value, test H 0 versus H a at 0 05 Calculate the p value for testing H 0 versus H Use the p value to test H 0 versus H a at each of 0 10 0 05, 0 01, and 0 001

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Question: Supposed that we wish to test H 0 : = 80 versus H a : > 80, where the population standard deviation is known to

Supposed that we wish to test H₀: = 80 versus H_a: > 80, where the population standard deviation is known to equal 20. Also, suppose that the sample of 100 measurements randomly selected from the population has a mean equal to 85.

Calculate the value of the test statistic z.
By comparing z with a critical value, test H₀ versus H_a at = 0.05.
Calculate the p-value for testing H₀ versus H
Use the p-value to test H₀ versus H_a at each of = 0.10. 0.05, 0.01, and 0.001

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