“Given the problem below, (1) find the area of the shaded region as a

Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

3 years ago

What is the perimeter of a square with side length 2x-3

NeTakaya

Perimeter of a square: side length * 4, since squares have equal side lengths

Take 2x - 3 for the side length and plug it into the formula.

(2x - 3) * 4 can be rewritten as 4(2x - 3)

Distribute 4 inside the parentheses.

8x - 12 = perimeter of the square

5 0

2 years ago

Read 2 more answers

Consider the linear equation: 3(x+1) = 3x + 3

vesna_86 [32]

Answer:

Yes

Step-by-step explanation:

3(5+1)=3(5)+3

15+3=15+3

18=18

7 0

2 years ago

How would i find h please help!!

antiseptic1488 [7]

Answer:

35

Step-by-step explanation:

So the triangle who posses the angle with measurement k=35 is an isosceles. I know this because there are two congruent legs. Those 2 congruent legs tell us the angles opposite of them are all congruent.

So we know one equation to solve is:

x+x+35=180 where x is the base angle in the left triangle picture.

Combine like terms:

2x+35=180

Subtract 35 on both sides:

2x=180-35

Simplify:

2x=145

Divide both sides by 2:

x=72.5

So one of the base angles of the left isosceles triangle is vertical with with another angle in the right. This triangle on the right is also isosceles.

So we know that 72.5+72.5+h=180.

Combine like terms:

145+h=180

Subtract 145 on both sides:

h=180-145

Simplify:

h=35

8 0

3 years ago

A parabola $ax^2+bx+c$ contains the points $(-1,0)$, $(0,5)$, and $(5,0)$. Find the value $100a+10b+c$.

victus00 [196]

Answer:

STOP CHEATING ON AOPS WORK!!!!

Step-by-step explanation:

1. pay attention in class

2. ask message board if you need to

3. stop googling answers

4. you paid lots of money for this course so its all going to waste now thanks to your laziness you ugly piece of sH*t

3 0

3 years ago