A random sample of 49 measurements from one population had a sample mean of14, with sample standard deviation5. An independent random sample of64 measurementsfrom a second population had a sample mean of17, with sample standarddeviation6.Test the claim that the population means are different. Use level of significance 0.01.

a) Compute the corresponding sample distribution value. (Test the difference₁₂. Round your answer to three decimal places.)