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In: Statistics and Probability

Consider the following data drawn independently from normally distributed populations: Use Table 1. x−1 = 34.3...

Consider the following data drawn independently from normally distributed populations: Use Table 1. x−1 = 34.3 x−2 = 26.0 σ12 = 89.5 σ22 = 92.8 n1 = 21 n2 = 26 Construct the 99% confidence interval for the difference between the population means.

Solutions

Expert Solution

99% confidence interval for 1 - 2 is

(1 - 2) - Z * sqrt( 1 / n1 + 2/ n2) < 1 - 2 < (1 - 2) + Z * sqrt( 1 / n1 + 2/ n2)

(34.3-26) - 2.576 * sqrt ( 89.5 / 21 + 92.8 / 26) < 1 - 2 < (34.3-26) + 2.576 * sqrt ( 89.5 / 21 + 92.8 / 26)

1.0913 < 1 - 2 < 15.5087

99% CI is ( 1.0913 , 15.5087 )

orchestra answered 2 years ago
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