IE 323 – Fall 2019
ASSIGNMENT #1
Remember…you are expected to do the textbook problems, but they do not have to be turned in. Only turn in the answers to the questions below.
- For each of the following, find the appropriate value for k and draw the corresponding graph (with the correct area under the curve shaded):
- P(-2.2 < Z < k) = 0.8943
- P(Z > k) = 0.0392
- P(Z < k) = 0.1736
- Using the T distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) :
- P(T > 2.101) when ν = 18.
- P(-0.856 < T < 2.787) when ν = 25.
- P(T < -1.833) when ν = 9.
- Using the χ2 distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) :
- P(χα2 < χ2 < 22.307 ) = 0.875 when ν = 15
- P(χ2 > χα2) = 0.025 when ν = 30.
- P(χ2 < χα2) = 0.025 when ν = 30.
- For an F distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) :
- P (F ³ f ) = 0.99 with n1 = 8 and n2 = 15.
- P (F ³ f ) = 0.05 with n1 = 7 and n2 = 10.
- f0.95 (6, 10)
- P (F ³ 4.16) with n1 = 12 and n2 = 12.