To find the standard error, divide the standard deviation by the square root of the sample size
standard deviation = 7.5
sample size = 25......sqrt 25 = 5
standard error = 7.5 / 5 = 1.5 <==
Since there is an expression in the square root, it must be non-negative. So:

Then, the interval is:
Answer is C. 1/169
first we find how many cards are jacks in a deck: 4 out of 52 cards.
4/52 = 1/13 ( We have a 1 in 13 chance of drawing a jack)
(1/13)(1/13) = 1/169
( because the first card is replaced, we know that we don't have to change probabilities)(it will still be a 4/52 chance of drawing a jack)
The forward differences for this data is 1, 1, 1, 1, 1, 1 (since 10 - 9 = 1, 11 - 10 = 1, etc). Since we only need one iteration of differences, a linear polynomial will fit the data exactly.