The shape of the distribution of time required to get an oil change at a 10-minute oil change facility is unknown. However, records indicate that the mean time for an oil change is µ = 11.4 minutes and standard deviation σ = 3.2 minutes.   To compute probabilities regarding the sample mean using the normal model, what size sample would be required? What is the probability that a random sample of  oil changes results in a sample mean time less than 10 minutes?  Can we solve this ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The shape of the distribution of time required to get an oil change at a 10-minute oil change facility is unknown. However, records indicate that the mean time for an oil change is µ = 11.4 minutes and standard deviation σ = 3.2 minutes.

 

  1. To compute probabilities regarding the sample mean using the normal model, what size sample would be required?
  2. What is the probability that a random sample of  oil changes results in a sample mean time less than 10 minutes?

 Can we solve this ?

 

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