Find the P value for the following example. A data set {X i } contains 100 house prices in Boston while {Y j } contains 200 house prices in MA. The variances of Boston and MA are known to be equal but...

Find the P value for the following example.
A data set {X_i} contains 100 house prices in Boston while
{Y_j} contains 200 house prices in MA. The variances of
Boston and MA are known to be equal but a specific
value is unknown. We want to test whether the mean
house price of Boston is higher than the state mean
price. The Boston sample mean and variance are 350K
and (150K)²
while the MA sample mean and variance
are 300K and (50K)². Use α = 0.05 for the test.