Question

Construct a 90% confidence interval for u1 = u2. Two samples are randomly selected from normal...

Construct a 90% confidence interval for u1 = u2. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that o21 = 022.

n1 = 10 n2 = 12

x1 = 25 x2 = 23

s1 = 1.5 s2 = 1.9

Math   Statistics-And-Probability   
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Answer #1

For sample 1 :

For sample 2 :

Since, population variances are equal.

Degrees of freedom = 10 + 12 - 2 = 20

Pooled standard deviation is,

t-critical value at significance level of 0.1 with degrees of freedom of 20 is,

The margin of error (E) is,

​​​​​

The 90% confidence interval to estimate the difference in population means is,

​​​​​​

The 90% confidence interval is,

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