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    Hypothesis

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    A light bulb manufacturer advertises that the average life for their light bulbs is 800 hours. A random sample of 15 of their light bulbs resulted in the following data, in hours;
    990 841 953 612 727 800 686 594
    835 897 943 791 750 667 723

    Assume that the bulb life is normally distributed. At the 10% significance level, do the data provide evidence that the mean life for the company's light bulbs differs from the advertised mean?

    © BrainMass Inc. brainmass.com June 3, 2020, 5:06 pm ad1c9bdddf
    https://brainmass.com/statistics/normal-distribution/hypothesis-14683

    Solution Preview

    Let X denotes the lif of a bulb.
    <br>SUM(X) = 11809 hour
    <br><X> = 11809/15 = 787.27 hour
    <br>SUM(X^2) = 9508977
    <br>n = 15 (sample size)
    <br>hence,
    <br>s^2 = ...

    Solution Summary

    A light bulb manufacturer advertises that the average life for their light bulbs is 800 hours. A random sample of 15 of their light bulbs resulted in the following data, in hours;
    990 841 953 612 727 800 686 594
    835 897 943 791 750 667 723

    Assume that the bulb life is normally distributed. At the 10% significance level, do the data provide evidence that the mean life for the company's light bulbs differs from the advertised mean?

    $2.19

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