A certain bowling league has weekly matches where two teams compete against each other. Each team has four players whose individ
ual scores are combined to form their team's overall score that week. Based on data from previous matches, the table below shows summary statistics for the weekly scores of two teams.
Team Mean Standard deviation
Bowling Buds \mu_B=610μ
B
=610mu, start subscript, B, end subscript, equals, 610 \sigma_B=60σ
B
=60sigma, start subscript, B, end subscript, equals, 60
Alleycats \mu_A=640μ
A
=640mu, start subscript, A, end subscript, equals, 640 \sigma_A=80σ
A
=80sigma, start subscript, A, end subscript, equals, 80
Let A represent the Alleycats' score on a randomly chosen week, B represent the Bowling Buds' score on a randomly chosen week, and D represent the difference between their scores (D=A-B)left parenthesis, D, equals, A, minus, B, right parenthesis.
Find the mean of D.
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