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What is the distribution-mean and standard error

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Based on the data concerning the performance of a large number of machine tools owned by a certain company, it is known that the length of time a machine can go without repair is distributed approximately as a normal distribution with mean of 150 hours and a standard deviation of 50 hours. A random sample of 36 of these machines is chosen:

-  What is the distribution, the mean and the standard error of the sampling distribution of sample average?

- What is the name of the theorem gives the sampling distribution of sample average.

- Find the probability that X ¯ - is greater than 175 hours.

- Find the probability that X ¯ - is between 170 and 190 hours.

Reference no: EM132848254

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