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The shape of the distribution of the time required to get an oil change at...

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The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown However records indicate that the mean time is 10 5 minutes and the standard deviation is 4 minutes a To compute probabilities regarding the sample mean using the normal model what size sample would be required O Any sample size could be used O The sample size needs to be greater than 30 O The normal model cannot be used if the shape of the distribution is unknown O The sample size needs to be less than 30 b The probability that a random sample of n 46 oil changes results in a sample mean time less than 10 minutes is approximately Round to 4 decimal places 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 45 oil changes between 10 A M and 12 P M Treating this as a random sample at what mean oil change time would there be a 11 chance of being at or below This will be the goal established by the manager There would be a 11 chance of being at or below to the nearest 1 decimal place minutes Round

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