Written Homework #6 Name: Class time * Round all numerical values to 4 decimal places. ** Use a=0.05 if not otherwise stated. Show all work - if you think it, write it down! If you use a formula, write the formula with all numerical values in the proper places. For any problem involving a continuous distribution, include a detailed, cicarly labeled graph and the calculator function(s) (or chart) used with all numerical values in the proper places. For all Hypothesis Tests, clearly state H ,H, A, T, the p-value and any requirements that must be met to use a sampling distribution. Indicate that these requirements are met, or if appropriate, state which condition(s) have not been met and then do the test anyway. Include any calculator function(s) used with all numerical values in the proper place. Write the conclusion in non-technical terms (not just reject or fail to reject H) and as a complete sentence. 0 1 Sample data for problems 1 and 2 A random sample of 400 peanut m&m's had the following color distribution: ORANGE YELLOW RED GREEN BLUE BROWN TOTAL 140 68 54 77 31 30 400 1) Test the claim that more than 1/6 of all peanut m&m's are green. Use a = 0.05 2) Perform a Chi-squared Goodness of fit test to see determine if the actual color distribution of peanut m&m's is as follows: ORANGE YELLOW RED GREEN BLUE BROWN TOTAL 30% 20% 20% 10% 10% 10% 100% Sample data for problems 3 and 4 The single serving size package of peanut butter m&m's is supposed to weigh 1.63 ounces according to the package lable. A random sample of 83 packages had an average weight of 1.59 ounces with a standard deviation of 0.14 ounces. 3) Can you say that the average weight of the packages labeled as weighing 1.63 ounces really is less than 1.63 ounces? 4) Is 0.21 ounces the standard deviation in the weights of all the packages labeled as weighing 1.63 ounces