Explore BrainMass

Explore BrainMass

    Hypothesis test: sample of 100

    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!

    Consider the following hypothesis test:

    HO: µ ≥ 80
    Ha: µ < 80

    A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = .01.

    a) x = 78.5
    b) x = 77
    c) x = 75.5
    d) x = 81

    © BrainMass Inc. brainmass.com March 7, 2023, 11:45 am ad1c9bdddf

    Solution Preview

    Please see the attached MS Word document for the solution to the question posted. Included are the charts and formulas required to solve the problem.

    Thank you for using BrainMass.

    The test Statistic is given by Z = (X - u)/(sigma/sqrt(n)) = (X - 80)/(12/sqrt(100))
    Significance level = 0.01
    Decision rule : Reject the null hypothesis if the p value is less than the significance level.
    Z Test of Hypothesis for the Mean

    Null Hypothesis m= 80
    Level of ...

    Solution Summary

    This solution provides a step by step method for computing test statistic for one sample t test is given in the answer. The sample size and the population standard deviation and p-value is calculated for various sample means.