(1.6.1 (1.6.2 Experience has shown that the diameter of a machined component is normally distributed, with an average diameter (p) of 165mm, and a standard deviation (0] of 2.5mm. A sample of 77 components is randomly selected. (1.6.1.1 Determine the standard error for this sample. (1.6.1.2 What is the probability that the mean diameter of the components in the sample will lie between 164.25mm and 164.75mm? Interpret your answer. It has been found that 14% of customers of an online retail store wait longer than five days for their order to be delivered. We assume normal distribution, and randomly select 115 customers. (1.6.2.1 Determine the standard error for this sample. (1.6.2.2 What is the probability that, for the sample of 115 customers, the proportion who wait longer than five days for their order to be delivered is less than 13.75%? Interpret your answer. (8) (2) (6) (7) (2)