Lego is liked by children as well as adults. Management at a lego company wonders if lego sets for adults are on average more expensive than than lego purchased for children (because lego sets liked by adults are often more expensive). So management collects a random sample of 10 lego sets purchased for children and 76 sets purchased for adults (buyers are interviewed). They find that on average,$60 was spent on lego sets purchased for children, with a standard deviation of $18.47. Whereas, lego sets purchased for adults were on average $85 with a standard deviation of $11.78.

So management wants to investigate if H_A : _{- c} > 0, where a represents adults and c represents children. What is the standard error for the difference between sample means for money spent on lego between the adults group and the children group SE (₁ - ₂).

Round your intermediate numbers to 4 decimal places. Round you final answer to 3 decimal places.