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There is a 10% chance of being at home or below a mean oil change time of minute The shape of the distribution of the

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There is a 10% chance of being at home or below a mean oil change time of minute

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The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is skewed right. However, records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.4 minutes. Complete parts (a) through (c). . . . (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? O A. The sample size needs to be greater than or equal to 30. O B. Any sample size could be used. O C. The normal model cannot be used if the shape of the distribution is skewed right. O D. The sample size needs to be less than or equal to 30. Question Viewer (b) What is the probability that a random sample of n = 35 oil changes results in a sample mean time less than 15 minutes? The probability is approximately (Round to four decimal places as needed.) (c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager

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