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    Test the claim that each bag of the farmers potatoes are 60 pounds?

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    Problem: A farmer sells sacks of potatoes at a county fair. Each bag is labeled 60 pounds. The fair organizers employ a statistician to verify that all business is conducted accurately. The statistician selects 50 sacks of the farmer's potatoes and finds a sample mean of 57 pounds. The standard deviation is 8 pounds. Test the claim that the sacks do not contain 60 pounds at the .05 significance level.

    Identify the following:

    A) Ho (Null hypothesis).
    1. Critical Value
    B) Test Statistic (show calculation)
    C) Your conclusion about the null hypothesis
    D) Your statement about the claim

    © BrainMass Inc. brainmass.com December 24, 2021, 4:53 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/test-claim-each-bag-farmers-potatoes-13209

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    Problem: A farmer sells sacks of potatoes at a county fair. Each bag is labeled 60 pounds. The fair organizers employ a statistician to verify that all business is conducted accurately. The statistician selects 50 sacks of the farmer's potatoes and finds a sample mean of 57 pounds. The standard deviation is 8 pounds. Test the claim that the sacks do not contain 60 pounds at the .05 significance level.
    Identify the following:
    A) Ho (Null hypothesis).
    1. Critical Value

    Null hypothesis : Mean=M = 60 pounds

    Critical value z=
    Z at the 0.05 level of significance 1 tailed test = -1.6448

    B) Test Statistic (show calculation)

    sample mean= 57
    Hypothesized Mean=M = 60 pounds
    Standard deviation =s= 8 pounds
    sample size=n= 50
    sx=standard error of mean=s/square root of n= 1.1314
    Significance level=alpha (a) = 0.05
    No of tails= 1

    Since sample size= 50 > = 30 use normal distribution

    Test statistic
    z=(sample mean-M )/sx= -2.6516

    C) Your conclusion about the null hypothesis

    Reject Null Hypothesis since test statistic is outside the accepatnce region ( beyond critical value)

    D) Your statement about the claim

    Accept the alternative hypothesis that the sacks do not contain 60 pounds at the .05 significance level
    Accept the 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, 4:53 pm ad1c9bdddf>
    https://brainmass.com/statistics/hypothesis-testing/test-claim-each-bag-farmers-potatoes-13209

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