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The engines made by Caterpillar for speedboats are normally distributed with an average power of 225...

The engines made by Caterpillar for speedboats are normally distributed with an average power of 225 horsepower (HP). A potential buyer takes a sample of 10 engines and gets a mean of 210 HP and a standard deviation of 10 HP.

A.) What probability distribution should we use for our sampling distributions of the means?

a) Normal Distribution

b) T-distribution

c) Binomial Distribution

d) Poisson Distribution

B.) What is the probability of getting a mean of 210 HP or lower?

Please show work if possible or R script

Math   Statistics-And-Probability   
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