- Iii A Machine Packs Potatoes Into Bags The Weights Of The Bags Are Normally Distributed With A Mean Of 10 0 Kilograms 1 (68.93 KiB) Viewed 22 times
III. A machine packs potatoes into bags. The weights of the bags are normally distributed with a mean of 10.0 kilograms and a standard deviation of 0.4 kilograms. If one bag is randomly chosen, calculate the probability that: a. The bag weighs more than 9.6 kilograms. (2 marks) b. The bag weighs less than 10.0 kilograms. (2 marks) c. The bag weighs between 9.8 and 10.3 kilograms. (3 marks) IV. An opinion poll is conducted to calculate the level of satisfaction among customers of a large company. From a sample of 840 people exactly 52% claim to be satisfied. a. Calculate a 95% confidence interval for the proportion of the customers who are satisfied with the company. (3 marks) b. Interpret the confidence interval. (2 marks) c. Is there evidence to conclude the proportion satisfied is the majority? Explain. (2 marks) Page 8 of 12