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 ?

Q: what is the sample standard deviation?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.