Answer:
<em>Test statistic </em>
<em> </em>
t = <em>1.076</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Mean of the Population (μ) = 8.0
<em>Mean of the sample (x⁻) = 8.25</em>
Given data
8,9,9,8,8,9,8,7
Given sample size n= 8
Given sample standard deviation(S) = 0.661
<u><em>Step(ii):-</em></u>
<em>Null hypothesis : H: (μ) = 8.0</em>
<em>Alternative Hypothesis :H:(μ) > 8.0</em>
<em>Degrees of freedom = n-1 = 8-1=7</em>
<em>Test statistic </em>
<em> </em>
<em></em>
<em> </em>
<em></em>
<em> t = 1.076</em>
<em>Critical value </em>
<em> t₍₇,₀.₀₅₎ = 2.3646</em>
<em>The calculated value t = 1.076 < 2.3646 at 0.05 level of significance</em>
<em>Null hypothesis is accepted</em>
<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>
<em></em>
The solution to the linear equation is 2
<h3>How to solve the
linear equation?</h3>
The linear equation is given as:
3x - 1 upon 5 = x - 1 upon 3
Rewrite properly as
(3x - 1)/5 = (x - 1)/3
Cross multiply
9x - 3 = 5x- 5
Evaluate the like terms
4x = 8
Divide by 4
x = 2
Hence, the solution to the linear equation is 2
Read more about linear equations at:
brainly.com/question/14323743
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Answer:
9x^4+21x+6=0
Step-by-step explanation:
( 3x^2)^2+7(3x +2) -8=0
((3^2)*(x^2)^2)+(7*3x)+(7*2)-8=0
9(x^4)+21x+14-8=0
9x^4+21x+6=0