Question

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 $1,500, with a standard deviation of $250. On the smaller trucks (stratum 2), 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 $1,000, and the expected standard deviation would be _________.

Answer 1

Greater than 250

Step-by-step explanation:

Given that standard deviation is a statistical tool used to express or measure the amount of variation that exist in a set of values or within a given population, the combination of two diverse population as it was done in this scenario will lead to or rather likely result in a standard deviation number that is larger than either of the separate strata. Thus, given that the standard deviation of the two state were 250 and 45, the expected standard deviation would be greater than the highest which is 250.