If I had to samples: sample a sample b samplesize 49 64 sample standard deviatio

Question

If I had to samples:                                       sample     a                          sample b samplesize                         49                                           64 sample standard deviation    8                                              5
samplemean                        13.5                                     10.5 point of estimate (I think - 3) Construct a 90% confidence interval for the difference betweenthe means. Express answer as an interval. If I had to samples:                                       sample     a                          sample b samplesize                         49                                           64 sample standard deviation    8                                              5
samplemean                        13.5                                     10.5 point of estimate (I think - 3) Construct a 90% confidence interval for the difference betweenthe means. Express answer as an interval.

Explanation / Answer

Given =0.1, Z(0.05)=1.645 (check normal table) The 90% CI is (xbar1-xbar2) ± Z*(s1^2/n1 + s2^2/n2) --> (13.5-10.5) ± 1.645*sqrt(8^2/49 + 5^2/64) --> (0.8572, 5.1427)

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