langes, but lately you have been getting some customer complaints that it takes too long to ger a change. You take a random sample of 36 customers and time how long (in minutes) the custom ust wait for their oil change. The results are in the table below. \begin{tabular}{|l|l|l|l|l|l|} \hline 42 & 29 & 19 & 11 & 10 & 27 \\ \hline 41 & 27 & 22 & 26 & 28 & 32 \\ \hline 17 & 15 & 25 & 35 & 31 & 22 \\ \hline 13 & 31 & 17 & 37 & 33 & 25 \\ \hline 18 & 24 & 28 & 21 & 40 & 19 \\ \hline 33 & 30 & 14 & 23 & 22 & 10 \\ \hline \end{tabular} (data from http://org.elon.edu/econ/sac/Descriptive.htm) onstruct a \( \mathbf{9 8 \%} \) confidence interval for the mean number of minutes it takes for an oil chan Round each number to 1 decimal place)
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Step 1: List all the data points from the table: 42, 29, 19, 11, 10, 27, 41, 27, 22, 26, 28, 32, 17, 15, 25, 35, 31, 22, 13, 31, 17, 37, 33, 25, 18, 24, 28, 21, 40, 19, 33, 30, 14, 23, 22, 10. Show more…
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Suppose you are the manager of Speedy Oil Change, which claims that each oil change can be completed in less than 20 minutes. However, there have been several complaints from customers stating that the oil change took longer than 20 minutes. Upper-level management at Speedy Oil Change headquarters has requested that you investigate and complete a report on these complaints. To begin your investigation, randomly select 18 oil changes performed by Speedy Oil Change and record the time each customer waited for the change. The number of minutes is listed below for each oil change: 36, 5, 19, 10, 10, 13, 18, 0, 0, 0, 3, 6, 5, 4, 2, 0, 0, 5.
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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 unknown. However, records indicate that the mean time is 16.3 minutes, and the standard deviation is 3.2 minutes. Complete parts (a) through (c). (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? A. The normal model cannot be used if the shape of the distribution is unknown. B. The sample size needs to be less than or equal to 30. C. The sample size needs to be greater than or equal to 30. D. Any sample size could be used. (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.)
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A service station advertises that customers will wait less than half an hour for an oil change. Construct a 90% confidence interval estimate of the population standard deviation of the time spent in a sample of 40 oil changes, having a standard deviation of 4.6 minutes.
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