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A random sample of 49 measurements from a population with population standard deviation σ1 = 3...

A random sample of 49 measurements from a population with population standard deviation σ1 = 3 had a sample mean of x1 = 8. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 4 had a sample mean of x2 = 10. Test the claim that the population means are different. Use level of significance 0.01.

1. Compute x1 − x2 and x1 − x2 =

2. Compute the corresponding sample distribution value. (Test the difference μ1 − μ2. Round your answer to two decimal places.)

3. Find the P-value of the sample test statistic. (Round your answer to four decimal places.)

4. Find a 99% confidence interval for μ1 − μ2. (Round your answers to two decimal places.)

Upper Limit =

Lower Limit =

math   Statistics-And-Probability   
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