Explore BrainMass

Explore BrainMass

    Independent sample t test

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

    A real estate agent claims that there is no difference between the mean household incomes of two neighborhoods. The mean income of 12 randomly selected households from the first neighborhood was $35750 with a sample standard deviation of $1900. In the second neighborhood, 10 randomly selected households had a mean income of $34200 with a sample standard deviation of $1825.

    (2) Which two-sample test should you use for this situation?

    (18) Using a significance level of ±=0.01, determine if there is enough evidence to reject the real estate agent's claim. You must state the hypotheses, determine the test statistic, and either the P-value(s) or critical value(s). Finally, you must clearly state your conclusion. Round all answers to two decimal places.

    © BrainMass Inc. brainmass.com June 4, 2020, 2:14 am ad1c9bdddf
    https://brainmass.com/statistics/students-t-test/independent-sample-test-448011

    Solution Preview

    Please see the attachments.

    Hypotheses
    A real estate agent claims that there is no difference between the mean household incomes of two neighbourhoods. The mean income of 12 randomly selected households from the first neighbourhood was $35750 with a sample standard deviation of $1900. In the second neighbourhood, 10 randomly selected households had a mean income of $34200 with a sample standard deviation of $1825.
    Answers
    (2) Which two-sample test should you use for this situation?
    Independent sample t test assuming equal variances is most appropriate in this situation.

    (18) Using a significance level of α=0.01, determine if ...

    Solution Summary

    Independent sample t tests are examined.

    $2.19

    ADVERTISEMENT