Age According to the Bureau of Labor Statistics, the average age of American workers is 41.9 years. The manager of a large technology company believes that the company's employees tend to be younger, on average. So she takes a random sample of 12 employees and records their ages. Here are the data: 27 38 32 24 30 47 42 38 27 43 37 33 a. State appropriate hypotheses for testing the manager's belief. Be sure to define the parameter of interest. b. State the conditions for performing a test of the hypotheses in (a), and determine whether each condition is met. c. The P-value of the test is 0.003. Interpret this value. What conclusion would you make?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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Age According to the Bureau of Labor Statistics, the average age of American workers is 41.9 years.
The manager of a large technology company believes that the company's employees tend to be
younger, on average. So she takes a random sample of 12 employees and records their ages. Here are
the data: 27 38 32 24 30 47 42 38 27 43 37 33
a. State appropriate hypotheses for testing the manager's belief. Be sure to define the parameter of
interest.
b. State the conditions for performing a test of the hypotheses in (a), and determine whether each
condition is met.
c. The P-value of the test is 0.003. Interpret this value. What conclusion would you make?
Transcribed Image Text:Age According to the Bureau of Labor Statistics, the average age of American workers is 41.9 years. The manager of a large technology company believes that the company's employees tend to be younger, on average. So she takes a random sample of 12 employees and records their ages. Here are the data: 27 38 32 24 30 47 42 38 27 43 37 33 a. State appropriate hypotheses for testing the manager's belief. Be sure to define the parameter of interest. b. State the conditions for performing a test of the hypotheses in (a), and determine whether each condition is met. c. The P-value of the test is 0.003. Interpret this value. What conclusion would you make?
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