Question: The following table includes the weights of thirteen 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] What type of test is this? Right-tailed, Left-tailed,or two-tailed? Which table will you use to find the critical value? What is the critical value for this hypothesis test?
[B] Perform the last step in the hypothesis test. Do you reject the null hypothesis or fail to reject the null hypothesis?
[C] According to your conclusion in step b, do the sample data provide significant evidence to conclude that the mean weight of individual M&Ms is greater than 0.8535 g?