In: Statistics and Probability
Using skittle values listed below and a 0.01 significance level, test the claim that the mean number of candies in a bag of Skittles is more than 58.5. Show all the steps including:
a. the hypotheses with correct notation (4 points)
b. the requirements for performing the hypothesis test, along with discussing how they are met or not met…hint: the same one that wasn’t met above isn’t met here! (5 points)
c. the test statistic and supporting work (3 points)
d. the p-value (3 points)
e. the appropriate decision about the null hypothesis and an appropriate conclusion (4 points)
f. Also describe the Type I and Type II errors for this test. (6 points)
Skittles
Red: 1046
Orange: 1066
Yellow: 977
Green: 1029
Purple: 969
Total 5,087