Question

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : μ1=μ2 vs Ha : μ1≠μ2 using the sample results x⎯⎯1=15.3, s1=11.6 with n1=100 and x⎯⎯2=18.4, s2=14.3 with n2=80.
(a) Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

Answer 1

The test statistics and the p-value from the research sampling will be 1.57 and 0.119.

What is test statistic?

It should be noted that a test statistic simply means a number that's used to describe how the observed value is far from the null hypothesis.

In this case, the test statistics is 1.57. The p value will be:

= 2 × 0.0593

= 0.119

Therefore, the test statistics and the p-value from the research sampling will be 1.57 and 0.119.

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