Explore BrainMass

Explore BrainMass

    Testing Hypothesis Claim

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    A personal director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In county A, a random sample 17 residents has a mean annual income of $42,000 and a standard deviation of $8500.
    In County B, a random sample of 8 residents has a mean annual income of $38,300 and a standard deviation of $5100. At significance level 0.05.
    Assume the population variances are not equal.
    Identify the claim and state the Ho and Ha

    Which is the correct claim:
    (a) The mean annual incomes in counties A and B are equal."
    (b) The mean annual income in county A is less than county B."
    (c) The mean annual income in county A is greater than in county B."
    (d) The mean annual incomes in counties A and B are not equal.

    I have to choose the Ho and Ha from drop down
    What are the Ho and Ha?
    The null hypothesis is Ho is ___. The alternative hypothesis Ha is ____

    Which hypothesis is the claim?
    The Alternative Ha or Null

    Find the critical value(s) and identify the rejection region(s)
    Critical Value =
    Round three decimal places as needed.
    Rejection region(s) =

    Find Standardized test statistic
    t=
    Round three decimal places as needed

    Decide whether to reject or fail to reject the null hypothesis.
    ______________ the null hypothesis
    Interpret the decision in the context or the original claim
    At the 5% significance level, ______ enough evidence to support the personnel directors claim.

    © BrainMass Inc. brainmass.com December 24, 2021, 10:30 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/testing-hypothesis-claim-483291

    SOLUTION This solution is FREE courtesy of BrainMass!

    See attachment.
    A personal director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In county A, a random sample 17 residents has a mean annual income of $42,000 and a standard deviation of $8500.
    In County B, a random sample of 8 residents has a mean annual income of $38,300 and a standard deviation of $5100. At significance level 0.05.
    Assume the population variances are not equal.
    Identify the claim and state the Ho and Ha

    Which is the correct claim:
    (a) The mean annual incomes in counties A and B are equal."
    (b) The mean annual income in county A is less than county B."
    (c) The mean annual income in county A is greater than in county B."
    (d) The mean annual incomes in counties A and B are not equal.

    I have to choose the Ho and Ha from drop down
    What are the Ho and Ha?
    The null hypothesis is Ho is µ1 ≤ µ2.
    The alternative hypothesis Ha is µ1 > µ2

    Which hypothesis is the claim?
    The Alternative Ha or Null
    Answer: Alternative Ha

    Find the critical value(s) and identify the rejection region(s)
    df = 7
    Critical Value = 1.895
    Round three decimal places as needed.
    Rejection region(s) =t > 1.895

    Find Standardized test statistic
    t= = 1.351
    Answer: 1.351
    Round three decimal places as needed

    Decide whether to reject or fail to reject the null hypothesis.
    ______________ the null hypothesis
    Answer: Fail to reject null hypothesis
    Interpret the decision in the context or the original claim
    At the 5% significance level, ______ enough evidence to support the personnel directors claim.
    Answer: There is not enough evidence to support the personnel directors claim.

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

    © BrainMass Inc. brainmass.com December 24, 2021, 10:30 pm ad1c9bdddf>
    https://brainmass.com/statistics/hypothesis-testing/testing-hypothesis-claim-483291

    Attachments

    ADVERTISEMENT