Answer:
Since the calculated value of t =-0.427 does not fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Step-by-step explanation:
The given data is
Difference d= -24 -12 -55 -15 -30 -60 -14 -21 -48 -12 -25 -53 -61 -69 -80
∑ d= -579
∑d²= 29871
1) Let the hypotheses be
H0: ud= 25 against the claim Ha: ud ≠25
H0 : mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Ha: mean difference in the age of onset of symptoms and age of diagnosis is not 25 months.
2) The degrees of freedom = n-1= 15-1= 14
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,14) = ±2.145
d`= ∑di/n= -579/15= -38.6
Sd= 23.178 (using calculators)
Therefore
t= d`/ sd/√n
t= -38.6/ 23.178√15
t= -1.655/3.872= -0.427
5) Since the calculated value of t =-0.427 does not fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Answer:
B. 5√3 is your answer.
Step-by-step explanation:
This is an equilateral triangle, which means that all external sides (that make up the triangle) have the same measurement.
This means that line segment AC = 10.
Solve for the measurement of line segment AB. Line Segment AB is 1/2 of AC, making it: 10/2 = 5
Line AB = 5
Line AD = 10
This is a 1, √3, 2 triangle, in which:
1 = 5
2 = 10
Solve for √3. Multiply √3 with the 1:
5 x √3 = 5√3
B. 5√3 is your answer.
~
Answer: ill try looking this one up to help u just add me on snap its johni_spurgeon
Step-by-step explanation:
Answer:
![-8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right]](https://tex.z-dn.net/?f=-8%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-10%26-2%26-5%5C%5C9%26-7%26-1%5C%5C9%26-4%262%5Cend%7Barray%7D%5Cright%5D)
![-\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right]](https://tex.z-dn.net/?f=-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-80%26-56%26-40%5C%5C72%26-56%26-8%5C%5C72%26-32%2616%5Cend%7Barray%7D%5Cright%5D)
![=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right]](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D56%2650%26-14%5C%5C-120%2692%2662%5C%5C-78%2626%262%5Cend%7Barray%7D%5Cright%5D)

<u>---------------------------</u>
<u>hope it helps..</u>
<u>have a great day!!</u>
Solve the equation and it will add up to -6 so
3×-7=-21
-21-10=-31
-31+25=-6