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 .
The student does a work of 500 Newton meter on the box.
Step-by-step explanation:
Given,
Weight of box of books = force = 200 N
Distance the box is lifted = 2.5 m
Work done = Force * distance
Work done = 
Work done = 500 Newton-meter
Newton meter is same as Joule.
Work done = 500 Joules
The student does a work of 500 Newton meter on the box.
Keywords: multiplication, work done
Learn more about multiplication at:
#LearnwithBrainly
Answer:
One solution
Step-by-step explanation:
In this graph, the two lines only intersect once, meaning there is only one solution. If they intersect twice, then there are two solutions. If the two lines are parallel, there are no solutions. If the lines are the same, there are an infinite amount of solutions.
