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:
C is dependent variable
S is independent variable
Step-by-step explanation:
Here, give the equation, we are told to identify the independent and the dependent variable
When we talk of the independent variable, it is that variable which values does not depend on whatever values the second variable in the equation has. It is that variable that is used to find the other variable in the equation
While the dependent variable depends on the values we input in the equation. It is the variable that we arrive at after plugging different values for the independent variable
now looking at the question, the equation we have is as follows;
c = 0.09s
To get the value of c which is the cost , we have to input different values of a. As is the amount in sales that we have that will yield the value of the commission to be received
Thus, we can categorically say that the values of the commission are dependent on the values we get from the sales
Hence, while commission represents the dependent variable, the values of the sales are the independent variables
In 3 years $108 in interest is earned
principle + interest = $708
180- 113 = 67
180- 67= 113
<5= 67
<2=113
Answer: 81 mm^2
Step-by-step explanation: All the sides are the same length and area is just length * width so 9*9=81. You're welcome