Find the optimal solution for the following problem.
(Round your answers to 3 decimal places.)
Minimize C =
5x + 11y
subject to
4x + 6y ≥ 13
7x + 4y ≥ 13
and
x ≥ 0, y ≥ 0.
What is the optimal value of x?
What is the optimal value of y?
What is the minimum value of the objective function?
Find the optimal solution for the following problem.
(Round your answers to 3 decimal places.)
Minimize C =
17x + 19y + 8z
subject to
12x + 14y + 21z ≥ 58
11x + 6y + 9z ≥ 116
and
x ≥ 0, y ≥ 0, z ≥ 0.
What is the optimal value of x?
What is the optimal value of y?
What is the optimal value of z?
What is the minimum value of the objective function?
Find the value x for which: (Round your answers
to 3 decimal places. You may find it useful to reference the
appropriate table: chi-square table or F table)
x
a.
P( χ^2 25 ≥ x) = 0.005
b.
P( χ^2 25 ≥ x) = 0.010
c.
P( χ^2 25 < x) = 0.005
d.
P( χ^2 25 < x) = 0.010
Find the value x for which: (Round your answers to 3 decimal
places. You may find it useful to reference the appropriate table:
chi-square table or F table) x a
. P( χ217 ≥ x) = 0.900 b. P( χ217 ≥ x) = 0.950 c. P(
χ217 < x) = 0.900 d. P( χ217 < x) = 0.950
Solve ΔABC. (Round your answers to two decimal places.
If there is no solution, enter NO SOLUTION.)
α = 47.16°, a =
5.04, b = 6.17
smaller c:
c =
β =
°
γ =
larger c:
c =
β =
°
γ =
Use Table C or software to find the following. (Round your
answers to three decimal places.)
(a) the critical value for a one-sided test with level
α = 0.025 based on the t(8) distribution
t* =
Find the following probabilities. (Round your answers to four
decimal places.)
(a) p(0 < z <
1.44)
(b) p(1.03 < z <
1.69)
(c) p(−0.87 < z <
1.72)
(d) p(z < −2.07)
(e) p(−2.32 < z <
−1.17)
(f) p(z < 1.52)
Find the value x for which: (Round your answers
to 2 decimal places. You may find it useful to reference the
appropriate table: chi-square table or F table)
x
a.
P(F(7,13) ≥ x) =
0.100
2.23 2.23 Correct
b.
P(F(7,13) ≥ x) =
0.010
4.44 4.44 Correct
c.
P(F(7,13) < x)
= 0.100
0.14 0.14 Incorrect
d.
P(F(7,13) < x)
= 0.010
0.26 0.26 Incorrect
Express numerical answers in decimal form and round to 3 decimal
places as needed (unless otherwise stated).
[8] 1) The homework scores (out of 10 points) for a sample of 9
students are listed:
1, 7, 7, 8, 9, 9, 10, 10, 10
a) Find the five number summary (whole numbers, in order).
Five number summary: , , , ,
Consider the following ANOVA experiments. (Round your answers to
two decimal places.)
(a) Determine the critical region and critical value that are
used in the classical approach for testing the null hypothesis
H0: μ1 =
μ2 = μ3 =
μ4, with n = 23 and α =
0.01.
F ≥
(b) Determine the critical region and critical value that are used
in the classical approach for testing the null hypothesis
H0: μ1 =
μ2 = μ3 =
μ4 = μ5,...