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Summary statistics are given for independent simple random samples from two populations. Use the pooled t-interval...

Summary statistics are given for independent simple random samples from two populations. Use the pooled t-interval procedure to obtain the specified confidence interval.

X1 = 72.3, s 1 = 10.1, n 1 = 16, X2 = 69.9, s 2 = 8.7, n 2 = 12
Determine a 90% confidence interval.

a

-3.81 to 8.61
b

-4.46 to 9.26
c

-1.60 to 6.40
d

-2.39 to 7.19
Math   Statistics-And-Probability   
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Answer #1

From given information we find the pooled variance as follows :

Degrees of freedom = n1 + n2 - 2 = 16 + 12 - 2 = 26

t-critical value at significance level of 0.10 with 26 degrees of freedom is,

Excel Command : =TINV(0.10, 26) = 1.706

Margin of error (E) is,

The 90% confidence interval for (μ1 - μ2) is,

Answer : a) -3.81 to 8.61

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