Given two independent random samples with the following results:
n_(1)=5,n_(2)=8
x_(1)=198,x_(x_(2))^(˙)=182
s_(1)=26,s_(2)=23
Use this data to find the
99%
confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed.
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Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.