Two independent samples from normal distributions are being compared. The sample data are summarized in the table.
Population Population
mean Sample
size Sample
mean Sample standard
deviation Standard error
estimate
1 μ1 (unknown) n1=14 x⎯⎯1=9.4 s1=1.903 SE1=0.509
2 μ2 (unknown) n2=12 x⎯⎯2=11.1 s2=2.141 SE2=0.618
The estimated standard error of the difference of the two sample means is SE=0.800.
Compute the value of the two-sample t‑statistic used to test the null hypothesis H0:μ1=μ2. Please give your answer precise to three decimal places.