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The following information was obtained from two independent samples selected from two normally distributed populations with...

The following information was obtained from two independent samples selected from two normally distributed populations with unknown but equal standard deviations. Sample 1 13 14 9 12 8 10 5 10 9 12 16 Sample 2,16,18,11,19,14,17,13,16,17,18,22,12.

a. Let μ 1 be the mean of population 1 and μ 2 be the mean of population 2. What is the point estimate μ 1 − μ 2 ? Round your answer to two decimal places. The point estimate μ 1 − μ 2 is Entry field with incorrect answer.

b. Determine the 98 % confidence interval for μ 1 − μ 2 . Round your answers to two decimal places.

The 98 % confidence interval for μ 1 − μ 2 is from

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a.

2.

Point estimate of μ 1 − μ 2

3.

Standard deviation of first sample

Standard deviation of second sample:

Pooled vaeiance is

Degrees of freedom = n1+n2-2 = 11+12-2 = 21

t0.02/2, 21 = 2.518

The 98 % confidence interval for μ 1 − μ 2 is

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