) The mean time for an Auto repair shop to change the oil in a car is ? = 16.4 minutes with a standard deviation of ? = 3.6   What is the probability that the mean time it takes for sixteen randomly selected oil change jobs, is at most 17 minutes? State your answer to four significance figures.     The slowest 20% of times to change the oil in an automobile is at least what time?  State your answer to the nearest tenth of a minute.

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  1. ) The mean time for an Auto repair shop to change the oil in a car is ? = 16.4 minutes with a standard deviation of ? = 3.6

 

What is the probability that the mean time it takes for sixteen randomly selected oil change jobs, is at most 17 minutes? State your answer to four significance figures.

 

 

The slowest 20% of times to change the oil in an automobile is at least what time?  State your answer to the nearest tenth of a minute.

Expert Solution
Step 1

1)

The probability that the mean time it takes for sixteen randomly selected oil change jobs at most 17 minutes is obtained below:

From the given information, a population of values has a normal distribution with mean 16.4 and standard deviation of 3.6  and sample of size n = 16.

Here,

Probability homework question answer, step 1, image 1

The required formula is given below:

Probability homework question answer, step 1, image 2

The required value is given below:

Probability homework question answer, step 1, image 3

Thus, the probability that the mean time it takes for sixteen randomly selected oil angel jobs at most 17 minutes is 0.8665.

 

 

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