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4-22. In estimating the total value of supplies on repair trucks. Baker Company draws random...

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Accounting

4-22. In estimating the total value of supplies on repair trucks. Baker Company draws random samples from two equal-sized strata of trucks. The mean value of the inventory stored on the larger trucks (stratum 1) was computed at $1500, with a standard deviation of $250. On the smaller trucks (stratum the mean value of inventory was computed as $500, with a standard deviation of $45. If Baker had drawn an unstratified sample from the entire population of trucks, the expected mean value of inventory per truck would be $1000, and the expected standard deviation would be:
a. Exactly $147.50
b. Greater than $250
c. less than $45
d. between $45 and $250, but not $147.50
The answer is b. greater than $250
I need help figuring out how to calculate the answer, I was using the Standard deviation of differences but I don't know if that's the formula.
thank u:)

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