Explore BrainMass

Explore BrainMass

    Hypothesis Testing - Annual Income in Pennsylvania

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Past records suggest that the mean annual income, u1, of teachers in state of Pennsylvania is less than or equal to the mean annual income, u2, of teachers in Illinois. In a current study, a random sample of 15 teachers from Pennsylvania and an independent random sample of 15 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows:

    Penn. Ill.
    45192 43638
    51542 50081
    51054 40936
    49091 52578
    47925 37369
    49515 42721
    49140 48893
    54768 42009
    45279 39274
    43012 54691
    40893 38305
    48707 30938
    55258 47207
    49583 41240
    39795 34222

    The population standard deviation for mean annual income of teachers in Pennsylvania and in Illinois are estimated as 6400 and 6100, respectively. It is also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of Pennsylvania is less than or equal to the mean annual income of teachers in Illinois? Perform a one-tailed test. Then fill in the table below.

    Carry your intermediate computations to at least three decimal places and round your answers as specified in the table

    Answer the following:

    Null hypothesis:
    Alternative hypothesis:
    Type of test statistic:
    Value of the test statistic rounded to at least 3 decimal places:
    The p value rounded to at least 3 decimal places:
    Can we reject the claim of the mean annual income of teachers from Pennsylvania is less than or equal to the mean annual income of teachers from Illinois? Yes or no

    © BrainMass Inc. brainmass.com June 3, 2020, 6:40 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/hypothesis-testing-annual-income-in-pennsylvania-69844

    Solution Summary

    Solution attaches a .doc file with the tables and calculations necessary to describe hypotheses, tests statistics and a final conclusion for a statistics problem with annual income.

    $2.19

    ADVERTISEMENT