Answer:
The standard deviation of the sample mean differences is _5.23_
Step-by-step explanation:
We have a sample of a population A and a sample of a population B.
For the sample of population A, the standard deviation
is

The sample size
is:
.
For the sample of population B, the standard deviation
is

The sample size
is:
.
Then the standard deviation for the difference of means has the following form:

Finally

25 to 45 can also be written as 25/45
Both numbers are divisible (can be divided by) 5
25 divided by 5 = 5
45 divided by 5 = 9
So 25/45 = 5/9
They are equivalent fractions because they’ve been divided by the same, shared number