A university has 1,000 computers available for students to use. Each computer has a 250-gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes.
a- What is the standard error of the mean?
b- What is the probability that a sample mean is greater than 120 gigabytes?
c- What is the probability that a sample mean is between 111 and 119 gigabytes?
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