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jok3333 [9.3K]
3 years ago
6

AutoTrader would like to test if a difference exists in the age of three different types of vehicles currently on the road: truc

ks, cars, and vans. The following data represent the age of a random sample of trucks, cars, and vans. Trucks Cars Vans 12 8 3 8 7 7 9 10 6 11 7 8 The mean square for treatments MSTR for these observations is ________. Multiple Choice 2.0 4.7 16.0 12.5
Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

16

Step-by-step explanation:

Remember that the general formula for SSTR is

SSTR = n_1(\bar{x_1}-\bar{x})+...+n_k(\bar{x_k}-\bar{x})

For this problem

\bar{x} = 8

n_1 = n_2 = n_3 = n_4 = 4

then

n_1(\bar{x_1}-\bar{x})+...+n_k(\bar{x_k}-\bar{x})  = 32

so once you have the SSTR then the MSTR is given by the following formula

MSTR = \frac{SSTR}{t-1}

where t is the number of treatments, for this case the number of treatments is 3 so t = 3 and

MSTR = \frac{32}{3-2} = \frac{32}{2} = 16

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