The following table includes the weights of 13 red M&M candies randomly selected from a bag containing 465 M&Ms. Those weights have a mean of x = 0.8635 grams & a standard deviation of 5 = 0.0576 grams. The bag states that the net weight of the contents is 396.9 grams- [Therefore, we can calculate 396.9 + 465 = 0.8535g per candy in order to provide the amount claimed.]
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0.751
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0.841
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0.856
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0.799
|
0.966
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0.859
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0.857
|
|
0.942
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0.873
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0.809
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0.890
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0.878
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0.905
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A production manager believes that consumers are getting more total weight in M&Ms than the amount indicated on the label. Use the sample data provided with an a = 0.10 significance level to test the claim of the production manager- that each individual M&M has a mean that is actually greater than 0.8535 g per candy.
[A] Calculate the value of the test statistic with the information given above.
[B] State the null & alternative hypotheses in proper mathematical notation, using µ [HINT: You can cut & paste my "µ" so you don't have to find one.]