Answer:
Null hypothesis:
Alternative hypothesis:
The sample size on this case is n=8, then the degrees of freedom are given by:
The statistic is given by:
For this case the value of the statistic is given
Since we are using a bilateral test the p value would be given by:
And we can use the following excel code to find it:
"=2*(1-T.DIST(2.315;7;TRUE))"
Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:
0.05<P-value <0.10, fail to reject the null hypothesis
Step-by-step explanation:
Assuming this complete question :"Given a test statistic of t=2.315 of a left-tailed test with n=8, use a 0.05 significance level to test a claim that the mean of a given population is equal to 110.
Find the range of values for the P-value and state the initial conclusion 1 point) 0.05<P-value <0.10; reject the null hypothesis
0.05<P-value <0.10, fail to reject the null hypothesis
0.025 < P-value <0.05; reject the null hypothesis
0.025< P-value<0.05; fail to reject the null hypothesis"
For this case they want to test if the population mean is 110 or no, the systemof hypothesis are:
Null hypothesis:
Alternative hypothesis:
The sample size on this case is n=8, then the degrees of freedom are given by:
The statistic is given by:
For this case the value of the statistic is given
Since we are using a bilateral test the p value would be given by:
And we can use the following excel code to find it:
"=2*(1-T.DIST(2.315;7;TRUE))"
Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:
0.05<P-value <0.10, fail to reject the null hypothesis
Express your answer in simplest terms.
A. 4 1/4
B. 4 1/8
C. 5 5/8
D. 6 1/4
and
1 and one-half is
.
Answer:
3/4 + 1/2 = 5/4 or 1 and 1/4
Step-by-step explanation:
Find a common denominator for the two fractions. 1/2 becomes 2/4 because you are multiplying top and bottom by 2 to get 4 since 3/4 already has 4.
Now it becomes 3/4 + 2/4. Add the numerators and keep the denominator. You get 5/4. To get a mixed number, divide 5 by 4. Four goes in once, and leaves a remainder of 1. Keep your original denominator and write 1 and 1/4.
Answer is provided in the image attached.
(1, 3)
(0, 3)
(0, 4)
The point that is not the solution to the system of inequalities is (2, 3), the correct option is A.
A system of Inequality is a set of inequalities in one or more variables.
The inequalities in the graph have a common solution shown by the shaded area.
The points (1,3), (0,3) and (0,4) lie in the shaded region.
Point (2,3) is out of the shaded area.
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For a point to be a solution, it has to be on the green shaded area including the solid red line to the left above the intersection of the lines but not the dashed red line to the right.
(2, 3) is outside the shaded area, so it is not a solution.
(1, 3) is inside the green shaded area, so it is a solution.
(0, 3) is on the red line above the intersection, so it is a solution.
(0, 4) is inside the green shaded area, so it is a solution.
Answer: A. (2, 3)