Question 760346: Can some help me on this question of probability? Please show your work.
In inventing several complaints concerning the weight of the “NET WT. 12 OZ.” jar of a local brand of peanut butter, the Better Business Bureau selected a sample of 36 jars. The sample showed an average net weight of 11.92 ounces and a standard deviation of .3 ounce. Using a .01 level of significance, what would the Bureau conclude about the operation of the local firm?
Thanks a lot.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In inventing several complaints concerning the weight of the “NET WT. 12 OZ.” jar of a local brand of peanut butter, the Better Business Bureau selected a sample of 36 jars. The sample showed an average net weight of 11.92 ounces and a standard deviation of .3 ounce. Using a .01 level of significance, what would the Bureau conclude about the operation of the local firm?
Ho: u = 12
Ha: u # 12
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z(11.92) = (11.92-12)/[0.3/sqrt(36)] = -1.6
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p-value = 2*P(z < -1.6) = 2*normalcdf(-100,-1.6) = 0.1096
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Since the p-value is greater than 1%, fail to reject Ho.
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Cheers,
Stan H.
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