In: Statistics and Probability
In 1995 the Mars Company replaced tan M&Ms with blue M&Ms. A sample of 100 plain M&Ms before the introduction of blue M&Ms had a mean weight 0.9160g with a standard deviation of 0.0433g. A sample of 100 plain M&Ms taken after 1995 had a mean weight of 0.9147g and a standard deviation of 0.0369g. (a) Construct the 98% confidence interval for the difference in the mean weight of plain M&Ms before and after the introduction of blue M&Ms. List: Parameters: u1 and u2 Null and Alt. Hypothesis p-value Initial conclusion Final conclusion (b) Is there a significant difference between mean weight of plain M&Ms before and after the introduction of blue? How do you know? List: t* ME Interval Interpret Interval (c) Does the confidence interval support the results of the hypothesis test? Why or why not?