Eight less a number is less than or equal to seventeen
1 answer:
You might be interested in
Answer:
<em>The range of p-values </em>
<em>0.01 < p < 0.025 </em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given random sample size 'n' = 7
Assume that the populations are normally distributed
Null Hypothesis :H₀:μd=0.
Alternative Hypothesis:H₁:μd<0.
Degrees of freedom
ν = n-1 =7-1 =6
given the test statistic t = - 3.201
we will use single tailed test in t-distribution table
<em>The test statistic t= 3.201 is lies between the critical values is 0.01 and 0.025</em>
<em>The range of p-values </em>
<em>0.01 < p < 0.025 (check t- distribution table single tailed test) </em>
<u><em>Final answer:- </em></u>
<em>The range of p-values </em>
<em>0.01 < p < 0.025 </em>
The critical points of <em>h(x,y)</em> occur wherever its partial derivatives and
vanish simultaneously. We have
Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :
This is to say there are two critical points,
To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian
whose determinant is . Now,
• if the Hessian determinant is negative at a given critical point, then you have a saddle point
• if both the determinant and are positive at the point, then it's a local minimum
• if the determinant is positive and is negative, then it's a local maximum
• otherwise the test fails
We have
while
So, we end up with