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The shape of the distribution oi the time required to get an oil change at a 10-minute oil-change facility is skewed light However. records indicate

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The shape of the distribution oi the time required to get an oil change at a 10-minute oil-change facility is skewed light However. records indicate that the mean time is 11 2 minutes and the standard deviation is 4.1 minutes Complete parls{a)through [c] below Click here to View the standard normal distribution table (p_age 1)_. Click here to View the standard normal distribution table (@gL [a] To compute probabilities regarding the sample mean using the normal model. what size sample would be required? Choose the required sample size below. [:1 A. Any sample size could be used. [:1 B. The sample size needs to be less than 30. C] C. The normal model cannot be used ifthe shape of the distribution is skewed right [:1 D. The sample size needs to be greater than 30. [b] What is the probability that a random sample ofn = 40 oil changes results in a sample mean time less than 10 rninules'? The probabilityr is approximatelyI (Round to four decimal places as needed ) [c] Suppose the manager agrees to pay each employee a $513 bonus if they meet a certain goal On a typical Saturday the oil-change facility will perform 40 oil changes between 10 A M and 12 PM Treating this as a random sample. at. what mean oil-change time would there be a 10% chance of being at or below? This will be the goal established by the manager. There would be a 10% chance 0 being at or below minutes. (Round to one decimal place as needed.)

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