The value needed to determine a confidence interval for a sample mean is the standard error of the mean option (D) is correct.
It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
Where s is the standard deviation.
n is the sample size.
are the constant based on the Chi-Square distribution table:
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
It is given that:
The value needed to determine a confidence interval for a sample mean is the standard error of the mean.
CI = X + Z(s/√n)
Here CI is the confidence interval
Z is the confidence level
X is the sample mean
Thus, the value needed to determine a confidence interval for a sample mean is the standard error of the mean option (D) is correct.
Learn more about the confidence interval here:
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Answer:
D.thestandarderrorofthemean
Step-by-step explanation:
trust me i got it right Plato
−3×−3×3
−3×3×−3×−3
−3×−3
Step-by-step explanation:
A - 3×3×-3×-3×-3 = 243
B - 3×-3×3 = 27
C - 3×3×-3×-3 = -81
D - 3×-3 = 9
The correct option is C
Answer: answer is c
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Answer:
your answer is correct
Step-by-step explanation:
the first one is the correct answer
Solve for x will mark brainliest
Answer:
x1=1
x2= -4
x3= (2 + 5i)
x4= (2 - 5i)
Step-by-step explanation:
STEP 1-
Find the roots of the first term.
(x^2 + 3x -4)=0
Then group the terms that contain the same variable, and move the constant to the opposite side of the equation.
(x^2 + 3x)=4
Complete the square. Remember to balance the equation by adding the same constants to each side.
(x^2 + 3x + 1.5^2)=4 + 1.5^2
(x^2 + 3x + 1.5^2)=6.25
Rewrite as perfect squares
(x + 1.5)^2=6.25
Square root both sides.
(x + 1.5) = (+/-)2.5
x= -1.5(+/-)2.5
x= -1.5 + 2.5 = 1
x= -1.5 + 2.5= -4
so the factored form of the first term.
(x^2 + 3x + 4) = (x - 1) (x + 4)
STEP 2-
Find the roots of the second term
(x^2 - 4x + 29)= 0
Group terms that contain the same variable, and move the constant to the opposite side of the equation
(x^2 - 4x)= -29
Complete the square. Remember to balance the equation by adding the same constants to each side
(x^2 - 4x + 4) = - 29 + 4
(x^2 -4x + 4) = -25
Rewrite as perfect squares
(x - 2)^2 = -25
Remember that
i = square root of -1
Square root both sides
(x - 2) = (+/-)5i
x= 2 (+/-)5i
x= 2 + 5i
x= 2 - 5i
so the factored form of the second term is
(x^2 - 4x + 29) = (x - (2 + 5i))(x - (2 - 5i))
STEP 3-
Substitute the factored form of the first and second term in g(x)
g(x) = (x-1)(x + 4)(x- (2+ 5i))(x- ( 2-5i)
there for you have your answers
I'm pretty sure it's..... B
Answer:
B.) 6^6
Step-by-step explanation:
6^9 ÷ 6³
= 6^9 × 6^-3
= 6^9-3
= 6^6
=46656