Answer:
10
Step-by-step explanation:
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
To complete the square for the equation X^2 + 16X + __ = 18 + __, we need to add 64 to both sides to get the equation X^2 + 16X + 64 = 18 + 64.
To complete the square for the given quadratic equation, we need to add a specific value to both sides of the equation. That specific value is the square of half the coefficient of the X term. In this case, the X term's coefficient is 16, so we need to take half of 16 (which is 8) and square it (which is 64).
So, the number to be added to both sides of the equation is 64.
The completed square equation then becomes: X^2 + 16X + 64 = 18 + 64.
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The probable question may be:
What number needs to be added to both sides of the equation in order to complete the square?
X^2+16X+____=18+___
Answer:
16
Step-by-step explanation:
Given x^2 + 16x = 18. Complete the square:
Take half of the coefficient of x (in other words, take half of 16) and square the result: we get 8^2 = 64.
Add 64, and then subtract 64 from x^2 + 16x + 64 = 18 + 64
Then (x + 8)^2 = 82. From this point on it's easy to find the roots, but we were not asked to do so.
The desired number is 64; note that it is (16/2)^2.
Answer:
2.
Step-by-step explanation:
We have to find the polynomial can be simplified to a difference of squares.
1.
Combine like terms
10 in is not a perfect square number because when a number end with one zero then the number is not perfect square number.
Therefore, it can not be simplified to a difference of squares.
2.
Combine like terms
Hence, the polynomial can be simplified as difference of squares.
3.
Combine like terms
Hence, the polynomial can not be simplified as difference of squares because the polynomial can be simplified as sum of squares.
4.
Combine like terms
24 is not a perfect square number because when factorize 24 then 2 and 3 are not paired.
Hence, the polynomial can not be simplified as difference of squares.