The operations manager of a sugar mill in Chesterville wants to estimate the average size of an order received. An order is measured in the number of pallets shipped from overseas.A random sample of 84 orders from customers had a sample mean value of 121.6 pallets. Assume that the population standard deviation is 20 pallets and that order size is normally distributed. Estimate, with 92% confidence, the mean size of orders received from all the mill’s customers.

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The operations manager of a sugar mill in Chesterville wants to estimate the average size of an order received. An order is measured in the number of pallets shipped from overseas.A random sample of 84 orders from customers had a sample mean value of 121.6 pallets. Assume that the population standard deviation is 20 pallets and that order size is normally distributed. Estimate, with 92% confidence, the mean size of orders received from all the mill’s customers.

A lecturer wants to know if his statistics class has a good grasp of basic maths from matric level. Eleven students are chosen at random from the class and given a maths proficiency test. The lecturer wants the class to be able to score above 75 on the test to show that they had a good grasp of basic maths. The eleven students get scores shown below:

62, 88, 71, 50, 67, 70, 92, 75, 68, 83, 95,

Can the lecturer be 95 percent confident that the students had a good grasp of basic maths?

A random sample of 200 male shoppers in Pavilion shopping mall were interviewed to identify their reasons for coming to this particular mall. The factor of ‘I prefer Knox brand in the mall’ was the most important reason for 120 of those interviewed. Estimate the likely percentage of all male shoppers who frequent this shopping mall primarily because of the Knox brand in the mall, using 97.5% confidence limits.

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