Two samples are taken with the following sample means, sizes, and standard deviations ¯ x 1...

Two samples are taken with the following sample means, sizes, and standard deviations ¯ x 1 x¯1 = 39 ¯ x 2 x¯2 = 26 n 1 n1 = 55 n 2 n2 = 75 s 1 s1 = 5 s 2 s2 = 3 We want to estimate the difference in population means using a 85% confidence level. What distribution does this require? t, df = 82 z NOTE: The more accurate df formula, used above, is: d f = ( s 2 1 n 1 + s 2 2 n 2 ) 2 1 n 1 − 1 ⋅ ( s 2 1 n 1 ) 2 + 1 n 2 − 1 ⋅ ( s 2 2 n 2 ) 2 df=(s12n1+s22n2)21n1-1⋅(s12n1)2+1n2-1⋅(s22n2)2 What is α? What is the critical value for the confidence interval? NOTE: Use the df given in the question above, 82 Use Technology The 85% confidence interval is: 11.9 < μ 1 − μ 2 < 14.1 11.9<μ1-μ2<14.1

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In the above problem t distribution is used.

Critical value is 1.453

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