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Mumz [18]
3 years ago
15

Find area of a circle whose diameter 21cm

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

346.36 cm ^2

Step-by-step explanation:

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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us
Zanzabum

Answer:

Step-by-step explanation:

Hello!

The objective of the study is to determine whether the magnets are effective in treating pain. For these two independent groups of individuals with equal affections were randomly sampled, one was treated with magnets and the other group of individuals, call it control group, was treated with a placebo treatment.

The information for both samples is:

X₁: pain measurement using a visual analog scale after the individual received magnet treatments.

X₁~N(μ₁;σ₁²)

n₁= 20

X[bar]₁= 0.46

S₁= 0.93

X₂: pain measurement using a visual analog scale of an individual of the control groups.

X₂~N(μ₂;σ₂²)

n₂= 20

X[bar]₂= 0.41

S₂= 1.26

The claim is that the pain reductions of the control group have more variation than the pain reductions of the target group. If it's so then we could suspect that the population variance of the control group, σ₂², will be greater than the population variance of the magnet group, σ₁².

To test the relationship between these two population variances you have to conduct a variance ratio test using the Snedecors F statistic.

The hypotheses are:

H₀: σ₂² ≤ σ₁²

H₁: σ₂² > σ₁²

α: 0.05

F= (\frac{S_2^2}{S_1^2}) * (\frac{Sigma_2^2}{Sigma_1^2} )~~ F_{(n_2-1);(n_1-1)}

This hypothesis test is one-tailed to the right, there is only one critical value:

F_{(n_2-1);(n_1-1); 1 - \alpha } = F_{19;19; 0.95}= 2.17

The decision rule for the test is:

If F_{H_0} ≥ 2.17, then the decision is to reject the null hypothesis.

If F_{H_0} < 2.17, then the decision is to not reject the null hypothesis.

F_{H_0}= \frac{S_2^2}{S_1^2}*\frac{Sigma_2^2}{Sigma_1^2}  = \frac{(1.26)^2}{(0.93)^2} * 1

F_{H_0} = 1.835 = 1.84

Since the calculated value of F is less than the critical value, the decision is to reject the null hypothesis. So using a 5% significance level the decision is to not reject the null hypothesis, you can conclude that the population variance of the pain reduction of the control group is less or equal than the population variance of the pain reduction on individuals treated with magnets.

I hope it helps!

3 0
3 years ago
Find the surface area of the prism shown (Remember, rectangular prisms have a total of 6 sides)
gregori [183]

Answer:

The answer is 190mm2

Step-by-step explanation:

(3x5)x2  30

(3x10)x2  60

(5x10)x2  100

add them all up to get 190

6 0
2 years ago
Read 2 more answers
Suppose eded is going to burn a compact disk​ (cd) that will contain 5 songs. in how many ways can ed arrange the 5 songs on the
QveST [7]
There are 120 choices.

 5 × 4 × 3 × 2×1 = 120 choices
5 0
3 years ago
Select all that apply.
MrMuchimi

Answer:

sorry I don't understand

Step-by-step explanation:

6 0
3 years ago
What is the height of a cylinder with a volume of 936 times 3.14 cubic inches and a diameter of 24 inches?
S_A_V [24]
H= .6.5

V=<span>πr^2h

h=  v/</span>πr^2 = 2940.5/<span>π*12^2 = 6.49993 = 6.5</span>
3 0
3 years ago
Read 2 more answers
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