Solutions Statistics

Independent random samples selected from two normal populations produced the sample means and standa

Question: Independent random samples selected from two normal populations produced the sample means and standard deviations shown below.

Sample1 Sample 2
n1 =17 N2 = 12
\[\bar{X}\] = 5.4 \[\bar{X}\] = 7.9
\[s_{1}^{{}}\]= 3.4 \[{{s}_{2}}\] = 4.8

a. Conduct the test Ho: \({{\mu }_{1}}-{{\mu }_{2}}\) = 0 against Ha: \({{\mu }_{1}}-{{\mu }_{2}}\) \(\ne \) 0. Interpret the results.

b. Estimate \({{\mu }_{1}}-{{\mu }_{2}}\) using a 95% confidence interval.

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