Answer:
Only Francesca is correct
Step-by-step explanation:
I just did it
At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
<h3>How to state hypothesis conclusion?</h3>
We are given;
Sample size; n = 78
population standard deviation σ = 37
Sample Mean; x' = 280
Population mean; μ = 287
The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;
Null hypothesis; H₀: μ > 280
Alternative hypothesis; Hₐ: μ < 280
This is a one tail test with significance level of α = 0.13
From online tables, the critical value at α = 0.13 is z(c) = -1.13
b) Formula for the test statistic is;
z = (x- μ)/(σ/√n)
z = ((280 - 287) *√78 )/37
z = -1.67
c) From online p-value from z-score calculator, we have;
P[ z > 280 ] = 0.048
d) The value for z = -1.67 is smaller than the critical value mentioned in problem statement z(c) = - 1.13 , the z(s) is in the rejection zone. Therefore we reject H₀
e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
Read more about Hypothesis Conclusion at; brainly.com/question/15980493
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The volume of the room is: 1840 ft^3
Step-by-step explanation:
The volume is the capacity of a given figure.
Given
Width = w = 23 feet
Depth = d = 10 feet
Height = h = 8 feet
The formula for volume is:
The volume of the room is: 1840 ft^3
Keywords: Volume, Box
Learn more about volume at:
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Answer:
The area of triangle is 
Step-by-step explanation:
we know that
The area of a triangle is equal to
A=(1/2)bh
we have
b=8 1/3 m
convert to an improper fraction
8 1/3 m=(8*3+1)/3=25/3 m
The fourth root of 16 is equal to 2
![\sqrt[4]{16}=(2^{4})^{1/4}=2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%3D%282%5E%7B4%7D%29%5E%7B1%2F4%7D%3D2)
so
h=2 m
substitute
convert to mixed number
Answer:
RS = 32
Step-by-step explanation:
Set-up equation like this -- 2x+6+16=4x-4
Solve for x
Then plug x in for the length of RS. You should get 32 for RS.
