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Question 29 Instant noodles are a popular convenience food eaten all over the world and Magic Beef noodles is the most popular brand. Nutrition facts displaced on a package of Magic Beef noodles indicate that one serving size package contains 9g of fat. An inspector collects 5 random packages which follow a normal distribution, and reports the amount of fat (gfpackage) as follows: -:=: a) Based on the above observations, determine whether the nutrition facts reported by Magic Beef is accurate with the level of signicance o = 5%. [7 marks] b) To solidify the conclusion, 5 additional packages are tested, and the amount of fat found from these additional packages are: 8.3 8.9 3.5 3.4 8.9 Based on the total of 10 observations, is there evidence that a package of Magic Beef noodles contains more than 9g of fat? [7 marks] c) Based on the 10 observations above, construct the 95% condence intervals for the average amount of fat containing in a package of Magic Beef noodles. [6 marks] Total for Question 29 [20 marks]