A random sample of 49 measurements from one population had a sample mean of 14, with sample standard deviation 5. An independent random sample of 64 measurements from a second population had a sample...

A random sample of 49 measurements from one population had a sample mean of 14, with sample standard deviation 5. An independent random sample of 64 measurements from a second population had a sample mean of 17, with sample standard deviation 6. Test the claim that the population means are different. Use level of significance 0.01.

(c) Compute x₁ − x₂.

x₁ − x₂ =

Compute the corresponding sample distribution value. (Test the difference ?₁ − ?₂. Round your answer to three decimal places.)=___