Question

Given two independent random samples with the following results: n1=8x‾1=89s1=15n1=8x‾1=89s1=15   n2=8x‾2=126s2=20n2=8x‾2=126s2=20 Use this data to find...

Given two independent random samples with the following results:

n1=8x‾1=89s1=15n1=8x‾1=89s1=15   n2=8x‾2=126s2=20n2=8x‾2=126s2=20

Use this data to find the 98%98% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.

Copy Data

Step 3 of 3 :

Construct the 98%98% confidence interval. Round your answers to the nearest whole number.

Math   Statistics-And-Probability   
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Answer #1

Since , the population variances are equal.

Now , df=degrees of freedom=n1-n2-2=8+8-2=14

The polled estimate is ,

Now , ; From t-table

Therefore , the 98% confidence interval is ,

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