Answer: 39.308 pounds
Step-by-step explanation:
We assume that the given population is normally distributed.
Given : Significance level : 
Sample size : n= 12, which is small sample (n<30), so we use t-test.
Critical value (by using the t-value table)=
Sample mean : 
Standard deviation : 
The lower bound of confidence interval is given by :-
i.e. 
Hence, the lower bound for the 98% confidence interval for the mean yearly sugar consumption= 39.308 pounds
14 also you can use the equation but i just graphed it.
There is one solution:
use elimination method
5x - 7y = 12
5y - 2x = -7 ---> change equation around
5x - 7y = 12
-2x + 5y = -7
2 x ( 5x - 7y) = 2 x (12) multiply both sides by 2
5 x (-2x +5y) = 5 x (-7)
this give you
10x - 14y =24
-10x+25y = -35 add down
-----------------------------
11y = - 11 x is eliminated to find y value
y = -1 input to one of the original equations
5(-1) - 2x = -7
-5 - 2x = -7
+5 +5 add 5 to both sides
----------------------------
-2x = -2
x = 1
your coordinates for when they intersect is at (1, -1)
one solution
The hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.
<h3>How to illustrate the information?</h3>
The following can be deduced from the information:
x1 = 275
x2 = 170
n1 = 500
n2 = 500
The sample proportion will be:
p1 = 275/500 = 0.55
p2 = 170/500 = 0.34
The pooled proportion will be:
= (275 + 170)/(500 + 500)
= 0.44
The test statistic is 6.681. It should be noted that the test statistics is a number that's calculated by a statistical test. It shows how the observed data are far from the null hypothesis.
The p value in this scenario is extremely small. The p value is a measurement used to validate a hypothesis against the observed data. Therefore, we have to reject the null hypothesis.
In this case, the hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.
Learn more about hypothesis on:
brainly.com/question/15980493
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