True or False: If the cost of producing one unit of product is uniformly distributed with a

Question:

True or False: If the cost of producing one unit of product is uniformly distributed with a mean of $25 \phi$ and a standard deviation of $10 \phi$, then the cost of producing 1000 units of product will be distributed uniformly with a mean of $\$ 250$ and a standard deviation of $\$ 100$.

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