The data set in problem 3 presents a sample of 100 plain M&M candies that randomly selected (without replacement) from a bag ...

  

The data set in problem 3 presents a sample of 100 plain M&M candies that randomly selected (without replacement) from a bag which contained a total of 465 M&M candies. The weight of each M&M (in grams) is recorded in the table above and in the available Excel Data Set file. From this simple random sample, there were 19 green M&Ms with a mean of 0.8635 g and a standard deviation of 0.0570. Use a 0.05 significance level to test the claim that the mean weight of all M&Ms is equal to 0.8535, which is the mean weight required so that M&Ms have the weight printed on the packaged label.

a. (1 point) Identify the null and alternative hypothesis.

b. (1 point) Is this a two-tailed, left-tailed, or right-tailed test? Why?

c. (2 points) What is the value of the test statistic?

d. (2 points) What is the P-value?

e. (1 point) What is the critical value?

f. (1 point) What is the area of the critical region?

g. (1 point) What is the result of the hypothesis test (i.e. “Reject the Null Hypothesis” or “Fail to Reject the Null Hypothesis)? Why did you respond with this answer, and what does it mean?

h. (1 point) Do green M&Ms appear to have weights consistent with the package label?