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 answer is the third answer choice, I and II only.
This is because both of those motions are rigid since they are just reflections and III is not a rigid motion since it is a dilation, the second triangle is bigger than the first.
Hope this helps!
Answer: 75/7 or 10.71 (rounded)
Step-by-step explanation:
Mean = Average
To find the average you should add all the numbers together and then divide it by the amount of numbers.
In this question, the formula is 
----------------------------------------------------------------------------------------
The list of the first 7 odd prime numbers:
3, 5, 7, 11, 13, 17, 19
Now, add them together
3+5+7+11+13+17+19=75
Divide the sum by 7
75÷7=75/7=10.71 (rounded)
Hope this helps!! :)
Please let me know if you have any questions
<h2><u><em>
Answer: A) f (x) = (x-5) (x+8)
</em></u></h2><h2><u><em>
</em></u></h2>
<u><em /></u>
<h2><u><em>
Step-by-step explanation: Please tell me if this is wrong! Bye! Have a good day!</em></u></h2>
Answer:
- multiplying a multi-digit number by itself several times (finding the power of a number)
- finding a square root
- statistical calculations
Step-by-step explanation:
We don't know what your introduction tells you, but the above-listed operations are ones I choose to use a calculator for. I also use a calculator for ordinary arithmetic, such as division by numbers with 2 digits or more. (It is simply faster and requires no scratch paper.)
If statistical calculations are not done with a calculator, they at least require the availability of suitable tables.
___
All of these operations can be done by hand without a calculator, and were in times passed. Lifetimes of effort were involved in generating some of the original math tables for statistics, trig, logarithms, and other functions readily evaluated using a modern calculator.
