What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was less than 9 years. A survey of 72 companies reported in The Wall Street Journal found a sample mean tenure of 7.3 years for CEOs with a standard deviation of 4.6 years (The Wall Street Journal, January 2, 2007).

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of 0.005. Your hypotheses are:

      H0:μ≥9 
      H1:μ<9

What is the test statistic for this sample?
(Report answer accurate to 3 decimal places.)

What is the p-value for this sample?
(Report answer accurate to 4 decimal places.)

This test statistic leads to a decision to

  • reject the null
  • accept the null
  • fail to reject the null



As such, the final conclusion is that

  • there is sufficient evidence to conclude that the population mean tenure for CEOs is equal to 9.
  • there is not sufficient evidence to conclude that the population mean tenure for CEOs is equal to 9.
  • there is sufficient evidence to conclude that the population mean tenure for CEOs is less than 9.
  • there is not sufficient evidence to conclude that the population mean tenure for CEOs is less than 9.
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