Housing prices in the U.S. in 2021 had the largest jump in 30 years. Recently, in one large community, real estate agents randomly sampled 35 bids from potential buyers to estimate the average gain in home value. The sample showed the average gain was $9554 with a standard deviation of $1500.A t-test with a P-value cutoff of 0.05 found that the gain of home values in this community appeared to be significantly different from the regional average of $9000. Suppose the standard deviation of home price gains had been $3000. What would your conclusion be then?

a)The test statistic is

b)The P-value is