An emperor penguin is 45 inches tall. It is 24 inches taller than a rockhopper penguin. Write and solve an equation to find the
2 answers:
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Answer:
The calculated t- value = 1.09 > 3.19 at 0.025 level of significance
Null hypothesis is rejected
There is sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given the mean of the Population(μ) = 419 grams
The sample size 'n' =19
Given mean of the sample x⁻ = 412
Given variance of the sample S² = 784
S = √784 = 28
<u><em>Step(ii)</em></u>:-
<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.
<u><em>Alternative hypothesis: H₁:</em></u>
There is sufficient evidence to support the claim that the bags are underfilled.
Test statistic
t = -1.09
|t| = |-1.09|
<em>Degrees of freedom ν = n-1 = 19-1 =18</em>
<em>t₀.₀₂₅ = 3.19</em>
<u><em>Final answer:</em></u><em>-</em>
The calculated t- value = 1.09 > 3.19 at 0.025 level of significance
Null hypothesis is rejected
There is sufficient evidence to support the claim that the bags are underfilled
Perimeter is the sum of all the sides. So we can set up an equation:
Now solve for 'x', combine like terms:
When it comes to terms with variables it's just like normal addition but we keep the variable:
So we have:
Add:
Subtract 7x to both sides:
Subtract 4 to both sides:
Divide 5 to both sides:
Now solve for 'x', combine like terms:
When it comes to terms with variables it's just like normal addition but we keep the variable:
So we have:
Add:
Subtract 7x to both sides:
Subtract 4 to both sides:
Divide 5 to both sides: