Consider the following data drawn independently from normally distributed populations: (You may find it useful to...

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Consider the following data drawn independently from normally distributed populations: (You may find it useful to...

Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table)

x−1x−1 = 32.7	x−2x−2 = 25.4
σ₁² = 95.5	σ₂² = 91.0
n₁ = 16	n₂ = 21

a. Construct the 90% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

Confidence interval is ______ to ______

math Statistics-And-Probability

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Answer 1

Answer #1

Here

r1 = 327, σ = 95.5, п1 = 16

and $ar{x_2} = 25.4, sigma_2^2 = 91,n_2 = 21$

a) a 90% confidence interval for the difference between the population means

7l n2 7l

= ((X1-DJ-1.64485 * 1/그 +-2. ( 7l n2 7l

V/3165 + 91, (32.7-25.4)+1.64485*Vai 5 + 91 95.591 16 21 = ((32.7-25.4)-1.64485* 16 21

(2.02055, 12.5795) (ans)

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Answer 2

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