Using the p-value method, the decision rule is:
- |z| < 1.645: do not reject the null hypothesis.
- |z| > 1.645: reject the null hypothesis.
<h3>What is the relation between the p-value and the test hypothesis?</h3>
Depends on if the p-value is less or more than the significance level:
- If it is more, the null hypothesis is not rejected.
- If it is less, it is rejected.
In this problem, we have a two-tailed test, as we are testing if the mean is different of a value. For a significance level of 0.1, the critical value of z(when a p-value of 0.1 is obtained) is of |z| = 1.645, hence the decision rule is:
- |z| < 1.645: do not reject the null hypothesis.
- |z| > 1.645: reject the null hypothesis.
More can be learned about p-values at brainly.com/question/13873630
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The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees
Answer:
Step-by-step explanation:
Part A : when comparing graphs : A system of equations will have no solutions (on a graph) when your lines never cross each other. They never cross each other because your lines are parallel.
Part B : by comparing each algebraic equation : A system of equations will have no solution if your lines are parallel. Parallel lines will have the same slope but different y intercepts. Example :
2x - y = 2
4x - 2y = 8
put both equations in slope intercept form
y = 2x - 2
y = 2x - 4
they both have the same slope of 2.....and the y intercepts are different....meaning they are parallel lines and have no solutions
Answer for 13: 89 percent because 89/100 is .89 or 89 percent
Answer for 14: part a: 1/10 because Each person gets ten percent so 10 times 10 is 100
Part b: it can be expressed as 0.10 in decimal form
