Question

a) Use the t-distribution to find a confidence interval for a difference in means μ1-μ2 given the relevant sample results. Give the best estimate for μ1-μ2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed.

A 90% confidence interval for μ1-μ2 using the sample results x¯1=8.8, s1=2.7, n1=50 and x¯2=13.3, s2=6.0, n2=50
Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places.
Best estimate = _____________________
Margin of error = __________________________
Confidence interval : _______________ to _______________

b) 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=14.3with n2=80.

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.
test statistic = ______________________-
p-value = _________________

Conclusion= Reject? or Do not Reject?

Answer 1