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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.]
0.751
0.841
0.856
0.799
0.966
0.859
0.857
0.942
0.873
0.809
0.890
0.878
0.905
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.]
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