Answer:
g=18
Step-by-step explanation:
There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
<h3>What is a statistical hypothesis?</h3>
A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:
![\mathbf{H_o \leq 283}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_o%20%5Cleq%20283%7D)
The alternative hypothesis:
![\mathbf{H_i > 283}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_i%20%3E%20283%7D)
From the population deviation, the Z test for the true mean can be computed as:
![\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}](https://tex.z-dn.net/?f=%5Cmathbf%7BZ%20%3D%20%5Cdfrac%7B%5Chat%20X%20-%20%5Cmu%20_o%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%7D)
![\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}](https://tex.z-dn.net/?f=%5Cmathbf%7BZ%20%3D%20%5Cdfrac%7B283%20-280%7D%7B%5Cdfrac%7B37%7D%7B%5Csqrt%7B87%7D%7D%7D%7D)
Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
Learn more about hypothesis testing here:
brainly.com/question/16251072
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Answer:
y=-4x-6
Step-by-step explanation:
y=mx+b, where m is the slope and b is the y-intercept
Slope is given as -4, so:
y=-4x+b
To find b, sub in the point we were given (-2,2):
2=-4(-2)+b
2=8+b
b=2-8=-6
So we have: y=-4x-6
Answer:
HL
Step-by-step explanation:
Use the HL Congruence Theorem to prove that the triangles are congruent.
Answer:
B
Step-by-step explanation:
i gottt youu