1. Suppose you are a member of a team of quality assurance specialists. Your team's immediate objective is to determine

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1 Suppose You Are A Member Of A Team Of Quality Assurance Specialists Your Team S Immediate Objective Is To Determine 1 (256.36 KiB) Viewed 30 times

1. Suppose you are a member of a team of quality assurance specialists. Your team's immediate objective is to determine whether a product meets engineering design specifications provided by the product design team. Your team gathers a sample of 49 units of product, and you measure the height of each unit, in millimetres. a) Suppose the population standard deviation is 0.65 mm, and the engineering design specifications state that the population mean height must be 90 mm. What is the probability of obtaining a sample mean height less than 90 mm, if the population mean height is 90 mm? Declare the random variable of interest, show the probability you are asked to calculate, how you standardize, your z-score (rounded to 2 decimal places if rounding is necessary), and your final answer (rounded to 4 decimal places if rounding is necessary). Do not round any values until you reach your final answer. b) You obtain a sample mean height of 89.5 mm, and the sample standard deviation is 2.5 mm. Use the empirical rule to calculate 68%, 95%, and 99.7% tolerance intervals for the sample mean height, and interpret each of your intervals. Do not round your answers. Show your work.