Answer:
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
Step-by-step explanation:
Given that;
mean x" = 5.4
standard deviation σ = 0.7
n = 6
Null hypothesis H₀ : μ = 5.0
Alternative hypothesis H₁ : μ > 5.0
∝ = 0.025
now,
t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4
degree of freedom df = n-1 = 6 - 1 = 5
T critical = 2.571
Therefore; t < T critical,
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
The depth of the joist that was drilled by Freddy is 5 1/3 inches.
From the information given, we are informed that Freddy drilled into a piece of wood and a joist to attach them and that be drilled 4 inches and the wood was 1 1/3 inches thick.
Therefore, to get the depth that was drilled, we'll need to add the fractions given together. This will be:
= 4 + 1 1/3
= 5 1/3 inches.
Therefore, the depth of the joist that was drilled by Freddy is 5 1/3 inches.
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Answer:
Step-by-step explanation:
Put these numbers into their prime factors.
18: 2 * 3 * 3
27: 3 * 3 * 3
12: 2 * 2 * 3
The LCM must have
two 2s
Three 3s
That's it
2*2 * 3 * 3 * 3
LCM = 108
648 might be a multiple of the three, but it's not the smallest one.
108 = 27 * 4
108 = 18 * 6
108 = 12 * 9
The expression simplifies to 13.
There are no exponents or parentheses, so that can be skipped. Start with multiplication and division from left to right.
25-4×9÷2+12÷4×2
25-36÷2+3×2
Add and subtract from left to right.
25-18+6
7+6
13