Question

In: Statistics and Probability

Using skittle values listed below and a 0.01 significance level, test the claim that the mean...

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

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