Question

M&M Milk Chocolate candies are packaged in single serving bags with a stated content net weight of 47.9 grams. A random sample of packaging of M&M’s was taken and content weights determined. The data of net weights of the 20 sampled bags of M&M’s are given in the following table.
Weights: 46.55, 48.60, 49.61, 48.56, 47.00, 48.92, 47.48, 48.91, 46.23, 46.49, 49.00, 46.33, 49.61, 47.08, 48.22, 49.37, 48.19, 47.90, 48.31, 46.52

1. Find the sample mean, sample variance and standard deviation, and 5-number summary (minimum, first quartile, median, third quartile and maximum) for the data set of net weights.

2. Between what weights would we expect to see 95% of the M&M net content weights?

3. Write the null and alternative hypotheses for the test of hypotheses that will determine if the actual mean weight content of a bag of M&M Milk Chocolate candies is at least 47.9 grams. (Remember both H0 and HA need to be stated.)

4. What would be the value of the appropriate test statistic for this hypothesis test?

5. What is the P-value of the test statistic determined in question #3?

6. What would be the decision for this hypothesis test? (reject or do not reject the null hypothesis?)

7. State your conclusion based on the selected decision in question #5, appropriate to the hypothesis test on mean weights of M&M bags.

Answer 1