At his trucking company, Paul received an order to ship 126 cubic feet of oil in cylindrical steel barrels. If each barrel has a
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Answer: x=-1 and y= -3
Step-by-step explanation:
Solve for x, x+y=-4
Minus y from both sides so it'll be X=-y-4
Now substitute -y-4 in x-y=2 and solve for y
-y - 4 -y=2
Add like terms, -2y - 4=2
Add 4 to both sides -2y=6
Divide both sides by -2
y= -3
Substitute -3 in x=-y - 4
x=-(-3) - 4
- × (-3)= 3
3 - 4= -1
x= -1
Answer:
p value = 0.0174
Conclusion : we reject the null hypothesis
Step-by-step explanation:
Thinking step:
We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of
Assumption : all the population for each or the three shifts is not equal.
Calculation:
Let p₁ be the sample of the first shift
p₂ be the sample of the second shift
p₃ be the sample of the third shift
According to the null hypothesis
H₀ = p₁ = p₂ = p₃
In other words, all the population sample proportions are equal.
Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃
Tabulating and performing the ² test gives 8.10
degrees of freedom:
df = k - 1
= 3 - 1 = 2
Thus the degree of freedom is 2
Solving using the MINITAB software gives: p = 0.174
The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤≤0.05
Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.