Explore BrainMass

Explore BrainMass

    Binomial Variable and Hypothesis Testing

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

    Using the accompanying probability distribution, find the following values
    X P(x)
    1 .25
    2 .27
    3 .05
    4 .43

    a) Mean
    b) Standard Deviation

    Assume that the cure rate for a certain drug is 20% and that 15 patients are tested with this drug. Find the following:
    a) Mean
    b) Standard Deviation
    c) P (exactly 4 cures)
    d) P (exactly 4 cures)

    A snack company distributes chips in bags labeled 6 ounces. The local Bureau of Weights and Measures randomly selects 50 bags of chips and obtains a sample mean of 5.9 ounces. Assuming that the standard deviation is known to be 0.8, test the claim at the .05 significance level that the bags contain less than 6 ounces. Identify the following:

    a) The Null Hypothesis
    b) Critical Value
    c) Test Statistics
    d) Your Conclusion regarding the Null Hypothesis
    e) Your Statement regarding the claim.

    © BrainMass Inc. brainmass.com June 3, 2020, 7:41 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/binomial-variable-hypothesis-testing-108751

    Solution Preview

    Please see the attached file.

    Statistics
    ________________________________________
    Using the accompanying probability distribution, find the following values
    X P(x)
    1 .25
    2 .27
    3 .05
    4 .43

    a) Mean
    b) Standard Deviation

    Answer

    X P(X) x.P(X) x2.P(X)
    1 0.25 0.25 0.25
    2 0.27 0.54 1.08
    3 0.05 0.15 0.45
    4 0.43 1.72 6.88
    Total 1 2.66 8.66

    Mean =
    Variance =V(x)=
    Standard Deviation =

    Assume that the cure rate for a certain drug is 20% and ...

    Solution Summary

    Calculation of Binomial variable and students t test with Null Hypothesis, Alternative Hypothesis, Significance Level, Critical Value, P value. The interpretation of results is also given.

    $2.19

    ADVERTISEMENT