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Question 1: Please show work

The mean value of land and buildings per acre for farms in Colorado is $1170. A random sample of 32 colorado farms is selected. What is the probability that the mean value of land and buildings per acre for the sample is (a) less than $1200 (b) more than $1275 (c)between $1100 and $1250. Assume the standard deviation is $200

Question 2: Please show work

A machine is set to fill milk containers with a mean of 64 ounces and a standard deviation of 0.11 ounces. A random sample of 40 containers has a mean of 64.05 ounces. Does the machine need to be reset.? Explain.

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