For a t distribution with 16 degrees of freedom, find the area (probability) in each region (do not round your answers): To the right of 2.120 Answer To the left of 1.337 Answer

And we can calculate this with the complement rule, and with the following Excel code:

"=1-T.DIST(2.12,16,TRUE)"

And we got:

And we can calculate this with the following Excel code:

"=T.DIST(1.337,16,TRUE)"

And we got:

Step-by-step explanation:

For this case we know that we have a t distribution with df = 16

And we want this probability:

And we can calculate this with the complement rule, and with the following Excel code:

"=1-T.DIST(2.12,16,TRUE)"

And we got:

For the other case we have this:

And we can calculate this with the following Excel code:

"=T.DIST(1.337,16,TRUE)"

And we got:

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.