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miss Akunina [59]
2 years ago
11

Evaluate the function

Mathematics
1 answer:
Alja [10]2 years ago
8 0

I don't know a lot about math

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Tennis elbow is thought to be aggravated by the impact experienced when hitting the ball. The article "Forces on the Hand in the
Gnoma [55]

Answer:

Step-by-step explanation:

Hello!

The objective is to study whether there is a greater force after impacting on one- handed backhand drive in advanced tennis players than in intermediate tennis players.

Sample 1: Advanced tennis players

X₁: Force (N) on the hand just after impact on a one- handed backhand drive for an advanced tennis player.

n₁= 6

X[bar]₁= 40.29 N

S₁= 11.29

Sample 2: Intermediate players

X₂: Force (N) on the hand just after impact on a one- handed backhand drive for an intermediate tennis player.

n₂= 8

X[bar]₂= 21.40

S₂= 8.30

Assuming that both variables have a normal distribution and both population variances are equal, to compare these two populations is best to do so trough their population means using a t-test for independent samples.

If the force is greater for the advanced players than for the intermediate players, then you'd expect the population mean for the advanced players to be greater than the population mean for the intermediate players:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

α: 0.05

t= \frac{(X_[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ~~t_{n_1+n_2-2}

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{5*127.51+7*68.92}{6+8-2} }= 9.66

t_{H_0}= \frac{(40.29-21.40)-0}{9.66\sqrt{\frac{1}{6} +\frac{1}{8} } } = 3.62

Using the p-value approach, the decision rule is

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

The p-value for this test is 0.00024, it is less than the level of significance, so the decision is to reject the null hypothesis.

This means that at a 5% significance level you can conclude that the average force experienced on the hand after a one-handed backhand drive for advanced players is greater than the average force experienced on the hand after a one-handed backhand drive for intermediate players.

I hope this helps!

3 0
3 years ago
この問題を最も簡単に解決する. 不適切な回答はありません.
Dafna1 [17]

japones ^^

look you have to multiply

8 cm x 6cm

20cm x 6 cm

and the answer that comes out of the multiplication is the correct one

4 0
3 years ago
The original quantity is 10 and the new quantity is 13. What is the percent change?​
Leya [2.2K]

3 is 13 more than 10, and 3 is 30% of 10, so 30% im pretty sure

6 0
2 years ago
Read 2 more answers
Sherman Zimmerman has decided to contribute 8% of his gross pay to his 401K. His employer will match 50% of the first 6% of his
sergiy2304 [10]
.5 x .06=.03
53600 x .03=1608.00
☺☺☺☺
4 0
3 years ago
The point ( 3,0) lies on a circle with the center at the origin. What is the area of the circle to the nearest hundreth
Lina20 [59]
1) Find the radius of the circle.  You can do that by inspection; no work required.
2) Use the "area of a circle" formula A = pi r^2 to calculate the area.
3) Round off your area calculation to the nearest hundredth.
3 0
3 years ago
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