Question

Dover Motors is a car dealership that sells new and used cars. Suppose they sold 140 used cars during the first quarter of 2011. The average selling price was​ $10,325 with a standard deviation of​ $2,880. A random sample of 60 used cars from this population was selected. What is the probability that the sample mean exceeds​ $10,000?

Answer 1

Answer:

The probability that the sample mean exceeds $10,000 is 0.8078.

Step-by-step explanation:

The objective of the problem is obtained below:

From the given information, let X denotes the number of used cars which follows normal distribution with mean 10,325 and the standard deviation of 2,880 and sample size is 60 used cars. That is, u=10,325,δ = 2,880 and n=60

are used to estimate the probability that the sample mean exceeds 10,000.

See attached pictures.