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Posted by on Wednesday, February 10, 2010 at 5:54pm.

A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard deviation of 8 hours. At the 0.05 significance level, can we conclude that users learn the package in less than a mean of 40 hours?

  • Statistics - , Monday, February 22, 2010 at 8:32pm

    Ho: µ = 40 -->population mean = 40
    Ha: µ < 40 -->population mean < 40

    Using a one-sample z-test:

    z = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)

    With your data:
    z = (39 - 40)/(8/√100)

    Finish the calculation. Determine whether or not to reject the null using 0.05 level of significance for a one-tailed test.

    I hope this will help.

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