Using the z-distribution, it is found that the 95% confidence interval is of -1.38 to 1.38, and 1.74 is outside the interval.
<h3>What is a confidence interval for the difference in sample means?</h3>It is given by:
In which:
is the estimate of the difference.
- s is the standard error.
- z is the critical value.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The estimate and the standard error are given, respectively, by:
Hence, the interval has the bounds given as follows:
The 95% confidence interval is of -1.38 to 1.38, and 1.74 is outside the interval.
More can be learned about the z-distribution at brainly.com/question/24372153
#SPJ1