Question

Assume that the following confidence interval for the difference in the mean length of male​ (sample 1) and female babies​ (sample 2) at birth was constructed using independent simple random samples. What does the confidence interval suggest about the difference in length between male babies and female​ babies? minus0.2 in.less thanmu 1minusmu 2less than1.7 in.

found the answer, it suggests there is no difference in the length between male and female babies

Answer 1

The example stated indicate that there is no difference in the means of the two samples

Explanation:

Solution

Recall that

The Confidence interval in the mean length of male (sample 1) and female sample (2) babies,which is,

Male babies= sample 1

Female babies = sample 2

What is the difference in length between male and female babies as suggested by the Confidence interval

Now,

The calculated Confidence interval is given as:

-0.2 < mu1 - mu2 < 1.7

So,

0 is included in the above CI, this indicates or suggests that there is no difference in the means of the two samples