The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is 21.2 minutes, and the standard deviation is 3.2 minutes. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1), Click here to view the standard normal distribution table (page 2). (b) What is the probability that a random sample of n= 40 ol changes results in a sample mean time less than 20 minutes? The probability is approximately 0.0089. (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 Saday, the ol-change facility will perform 40 oil changes The the goal sbe s tOL chance of heing at or hel
The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is 21.2 minutes, and the standard deviation is 3.2 minutes. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1), Click here to view the standard normal distribution table (page 2). (b) What is the probability that a random sample of n= 40 ol changes results in a sample mean time less than 20 minutes? The probability is approximately 0.0089. (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 Saday, the ol-change facility will perform 40 oil changes The the goal sbe s tOL chance of heing at or hel
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 alt="The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is
21.2 minutes, and the standard deviation is 3.2 minutes. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1),
Click here to view the standard normal distribution table (page 2),
(b) What is the probability that a random sample of n= 40 oil changes results in a sample mean time less than 20 minutes?
The probability is approximately 0.0089 .
(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 Saday, the oil-change facility will perform 40 oil changes
between 10 AM. 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 of being at or below minutes.
(Round to one decimal place as needed.)
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Transcribed Image Text:The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is
21.2 minutes, and the standard deviation is 3.2 minutes. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1),
Click here to view the standard normal distribution table (page 2),
(b) What is the probability that a random sample of n= 40 oil changes results in a sample mean time less than 20 minutes?
The probability is approximately 0.0089 .
(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 Saday, the oil-change facility will perform 40 oil changes
between 10 AM. 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 of being at or below minutes.
(Round to one decimal place as needed.)
Clear All
Check Answer
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