Answer:
The 90% confidence interval is
Explanation:
From the question we are told that
The sample mean for men is

The sample mean for women is

The sample size for men is

The sample size for women is

The standard deviation for men is

The standard deviation for women is

From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the standard error is mathematically represented as

=>

=>

Generally the margin of error is mathematically represented as
=>
=>

Generally 90% confidence interval is mathematically represented as
=>
=>