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ANOVA: The Difference In Mean Hours

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The manager of a computer software company wishes to study the number of hours top executives spend at their computer terminals by type of industry. The manager selected a sample of five executives from each of the three industries. At the .05 significance level, can she conclude there is a difference in the mean number of hours spent at at terminal per week by industry?

Banking...................Retail........................Insurance
....12...........................8.................................10
....10...........................8..................................8
....10...........................6..................................6
....12...........................8..................................8
....10..........................10................................10

How is this different from other hypothesis testing?

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Solution Summary

The solution is comprised of a detailed step by step calculation of how to determine the difference in mean hours using ANOVA. A table, and how to calculate all the values is provided in the solution.

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ANOVA: Single Factor

Summary
Groups.........Count.......Sum......Average......Variance
Column 1.........5.............54..........10.8..............1.2
Column ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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