Answer:
Correct option is (a).
Step-by-step explanation:
The dependent <em>t</em>-test (also known as the paired <em>t</em>-test or matched-samples <em>t</em>-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
We use the paired <em>t</em>-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
Or in case of testing the level of reading comprehension of students before and after the speed-reading class we use t-test for dependent means.
The assumptions of paired <em>t</em>-test are:
- The dependent variable that is tested should be continuous
- The observations are independent
- The dependent variable is normally distributed
- There should not be any outliers.
Since the data consists of matched pair, both the samples must be of the same size.
Thus, the correct option is (a).
Answer:
Input:
(3 - 4 i) (5 + 6 i)
Result:
39 - 2 i
Polar coordinates:
r≈39.0512 (radius), θ≈-2.93567° (angle)
Position in the complex plane:
Position in the complex plane
Minimal polynomial:
x^2 - 78 x + 1525
ANSWER IS 39-2i
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
5³ ÷ (↓13 - 8) x 2
↓5³ ÷ 5 x 2
125 ÷ 5 x 2
25 x 2
50
I think that it is 18. It's asking for range right? So when using range you add the numbers together, right? Sorry if it's not correct.
Answer:
the present age of the father be x and the present age of the son be y.
It is given that man is 24 years older than his son that is:
x=y+24
x−y=24..........(1)
Also, 12 years ago, he was five times as old as his son that is:
(x−12)=5(y−12)
x−12=5y−60
x−5y=−60+12
x−5y=−48..........(2)
Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get
(x−x)+(−5y+y)=−24−48
i.e. −4y=−72
i.e. y=18
Substituting this value of y in (1), we get
x−18=24
i.e. x=24+18=42
Hence, the present age of the father is 42 years and the present age of the son is 18 years.
Step-by-step explanation: