Answer:
x=-2
Step-by-step explanation:
6 - 2x = -4x + 2
When moving one number to the other side of the equal sign, change it from either negative to positive or positive to negative
4x - 2x = -6 + 2
add/subtract
2x = -4
divide each side by 2
x = -2
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Answer:
We fail to reject the null hypothesis and accept it.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Mean number of recorded participants
Calculated test statistic = 13.86
Critical value = -1.751
We are conducting a left tailed hypothesis.
Rejection region:
If the calculate test statistic is less than the critical value, we fail to accept the null hypothesis and reject it.
We accept the alternate hypothesis.
Since,
![13.86 > -1.751](https://tex.z-dn.net/?f=13.86%20%3E%20-1.751)
We fail to reject the null hypothesis and accept it. Thus, the test result are not statistically significant and and at best provide weak evidence against the null hypothesis.
Answer:
11×10= answer is correct i try this at my shcool is correct
Step-by-step explanation:
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Answer:
a) P(75 < x < 80 ) = 0.2088
b) The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population = 72
Given variance of the Population = 18 inches.
Standard deviation of the Population = √18 = 4.242
Let 'x' be the random variable in Normal distribution
a)
Given X₁ = 75
![Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{75-72}{4.242} = 0.70721](https://tex.z-dn.net/?f=Z_%7B1%7D%20%3D%20%5Cfrac%7Bx_%7B1%7D%20-mean%7D%7BS.D%7D%20%3D%20%5Cfrac%7B75-72%7D%7B4.242%7D%20%3D%200.70721)
Given X₂= 80
![Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{80-72}{4.242} = 1.885](https://tex.z-dn.net/?f=Z_%7B2%7D%20%3D%20%5Cfrac%7Bx_%7B2%7D%20-mean%7D%7BS.D%7D%20%3D%20%5Cfrac%7B80-72%7D%7B4.242%7D%20%3D%201.885)
The probability that average height of all humans between 75 and 80
![P(75 < X < 80 ) = P(0.70721 < Z < 1.885)](https://tex.z-dn.net/?f=P%2875%20%3C%20X%20%3C%2080%20%29%20%3D%20P%280.70721%20%3C%20Z%20%3C%201.885%29)
= | A ( 1.885) - A( 0.70721|
= 0.4699 - 0.2611
= 0.2088
P(75 < x < 80 ) = 0.2088
b)
<u><em>Step(ii)</em></u>:-
Given X₁ = 65
![Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{65-72}{4.242} = -1.650](https://tex.z-dn.net/?f=Z_%7B1%7D%20%3D%20%5Cfrac%7Bx_%7B1%7D%20-mean%7D%7BS.D%7D%20%3D%20%5Cfrac%7B65-72%7D%7B4.242%7D%20%3D%20-1.650)
The probability that average height of all humans less than 65
P( X < 65 ) = P( Z < - 1.650 )
= 1 - P( Z > 1.650)
= 1 - ( 0.5 + A (1.650))
= 0.5 - A( 1.65)
= 0.5 - 0.4505
= 0.0495
The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495