Answer:
1.4000 ;
0.0807 ;
1.69 ;
Fail to reject the Null
Step-by-step explanation:
Given :
μ = 21 minutes
x = 22.4 minutes
Sample size, n = 36
Standard deviation, s = 6
H0: μ ≥ 21
H1: μ < 21
Test statistic : (x - μ) ÷ s/sqrt(n)
Test statistic : (22.4 - 21) ÷ 6/sqrt(36)
Test statistic : 1.4 ÷ 1
Test statistic = 1.4000
Pvalue : Using the Test statistic value at α = 0.05 ; One - tail test = 0.0807
The t critical value using a critical value calculator ; DF = (n - 1) = 36 - 1 = 35 ; α = 0.05 = 1.69
Decision region :
Reject H0 if
|Test statistic| > |critical value|
1.4 < 1.69
Hence, we fail to reject H0
There isn't enough evidence they delivery time has been reduced below previous mean
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Answer:
24.46
Step-by-step explanation:
9514 1404 393
Answer:
(x, y) = (1, 7.5)
Step-by-step explanation:
Solve the first equation for y, then substitute into the second equation.
y = 8 -1/2x . . . . . subtract 1/2x
2(8 -1/2x) = x +14
16 -x = x + 14 . . .eliminate parentheses
2 = 2x . . . . . . . add x-14
1 = x . . . . . . . . divide by 2
y = 8 -1/2(1) = 7 1/2
The solution is (x, y) = (1, 7 1/2).
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<em>Alternate solution</em>
Type the equations into a graphing calculator and let it show you the solution.
