Problems 31-40 refer to the partially completed table below of the 10 basic solutions to the e-system x 1 + x 2 + s 1 = 24 2 x 1 + x 2 + s 2 = 30 4 x 1 + x 2 + s 3 = 48 x 1 x 2 s 1 s 2 s 3 A 0 0 24 30 48 B 0 24 0 6 24 C 0 30 − 6 0 18 D 0 48 − 24 − 18 0 E 24 0 0 − 18 − 48 F 15 0 9 0 − 12 G 0 0 H 0 0 I 0 0 J 0 0 In the basic solution G , which variables are nonbasic?
Problems 31-40 refer to the partially completed table below of the 10 basic solutions to the e-system x 1 + x 2 + s 1 = 24 2 x 1 + x 2 + s 2 = 30 4 x 1 + x 2 + s 3 = 48 x 1 x 2 s 1 s 2 s 3 A 0 0 24 30 48 B 0 24 0 6 24 C 0 30 − 6 0 18 D 0 48 − 24 − 18 0 E 24 0 0 − 18 − 48 F 15 0 9 0 − 12 G 0 0 H 0 0 I 0 0 J 0 0 In the basic solution G , which variables are nonbasic?
Solution Summary: The author explains the non-basic variables of the e-system (G).
Problems 31-40 refer to the partially completed table below of the
10
basic solutions to the e-system
x
1
+
x
2
+
s
1
=
24
2
x
1
+
x
2
+
s
2
=
30
4
x
1
+
x
2
+
s
3
=
48
x
1
x
2
s
1
s
2
s
3
A
0
0
24
30
48
B
0
24
0
6
24
C
0
30
−
6
0
18
D
0
48
−
24
−
18
0
E
24
0
0
−
18
−
48
F
15
0
9
0
−
12
G
0
0
H
0
0
I
0
0
J
0
0
In the basic solution
G
, which variables are nonbasic?
You may need to use the appropriate appendix table or technology to answer this question.
You are given the following information obtained from a random sample of 4 observations.
24
48
31
57
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)
(a)
State the null and the alternative hypotheses. (Enter != for ≠ as needed.)
H0:
Ha:
(b)
Determine the test statistic. (Round your answer to three decimal places.)
(c)
Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence to conclude that the mean of the population is different from 49.Do not reject H0. There is sufficient evidence to conclude that the…
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