Assume that both populations are normally distributed.

a. Test whether u1≠ u2 at the alpha=0.05 level of signifigance for the given sample data. (u= population mean, sorry couldnt insert the symbol). Determine p value. Should the null hypothesis be rejected?
b. Construct a 95% confidence interval about μ1−μ2. at the alphα=0.05 level of significance for the given sample data.

Population 1 Population 2
n 18 18
x 12.7 14.6
s 3.2 3.8

Answer:

X = 3.2

Step-by-step explanation:

sin(42) = x/4.6

0.7 = x/4.6

3.2 = x

Answer:

unbounded region

A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.

Step-by-step explanation:

Answer:

The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.

Step-by-step explanation:

A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments.

At the null hypothesis, we test if the proportion of negative comments is of at least 5%, that is:

[tex]H_0: p \geq 0.05[/tex]

At the alternative hypothesis, we test if this proportion is less than 0.05, that is:

[tex]H_1: p < 0.05[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that [tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]

A random survey of 850 customers found only 34 with complaints.

This means that [tex]n = 850, X = \frac{34}{850} = 0.04[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{850}}}[/tex]

[tex]z = -1.34[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.04, which is the p-value of z = -1.34.

Looking at the z-table, z = -1.34 has a p-value of 0.0901.

The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.

Given:

In circle D, [tex]\angle EDH\cong \angle EDG[/tex].

To find:

The length of JG.

Solution:

We know that, if two central angles are congruent then the corresponding chords are congruent and their measures are equal.

We have,

[tex]\angle EDH\cong \angle EDG[/tex]

It means chords EH and EG are congruent and their measures are equal.

[tex]EH=EG[/tex]

[tex]9=EG[/tex]

Using segment addition property, we get

[tex]EJ+JG=EG[/tex]

[tex]4+JG=9[/tex]

[tex]JG=9-4[/tex]

[tex]JG=5[/tex]

Therefore, the length of JG is 5 units.

Answer:

5

Step-by-step explanation:

Answer:

The y-intercept of function A is less than the y- intercept of function B

hope it is helpful to you

Answer:

The final balance is $36.5.

The total compound interest is $6.5.

Step-by-step explanation:

Answer:

348 kiwis

Step-by-step explanation:

Jamie is packing Kiwie fruits into a tray

Each tray holds 58 kiwis

He can put 6 trays in a crate

Hence when the craye is full the number of kiwis it will contain can be calculated as follows

°= 58×6

= 348 kiwis

Answer:

El costo total en la compra es $4.00 pesos.

Step-by-step explanation:

El costo total en la compra de los metros de alambre viene dado por la suma de los costos de los metros individuales de los alambres gruesos y delgados:

[tex] C_{t} = C_{g} + C_{d} [/tex]

En donde:

[tex] C_{t} [/tex]: es el costo total

[tex] C_{g} [/tex]: es el costo del alambre grueso

[tex] C_{d} [/tex]: es el costo del alambre delgado

Podemos encontrar el costo de cada alambre multiplicando el valor por la cantidad de metros:

[tex]C_{g} = 0.5 m*\frac{\$ 4.00}{m} = \$2.00[/tex]

[tex]C_{d} = 0.4 m*\frac{\$ 5.00}{m} = \$2.00[/tex]

Entonces, el costo total es:

[tex]C_{t} = 2.00 + 2.00 = \$4.00[/tex]

Por lo tanto, el costo total en la compra es $4.00 pesos.

Espero que te sea de utilidad!                  

52km multiply by 4(days)=208

Answer:

359.19 And good morning to you

Step-by-step explanation:

Answer:

359.19 is the 39% of 921

good afternoon to you

Answer:

n = 64/9

Step-by-step explanation:

3√n=8

Divide each side by 3

3/3√n=8/3

sqrt(n) = 8/3

Square each side

(sqrt(n))^2 = (8/3)^2

n = 64/9

Answer:

n = 64 / 9

Step-by-step explanation:

3√n = 8

Divide both side of equation by 3

3√n / 3 = 8/3

√ n = 8 / 3

Square both side of equation

√n² = √(8/3)

n = 64/9

Answer: Choice C) 0.6964;  0.6972

============================================

Work Shown:

n = 15

p = 0.5

q = 1-p = 1-0.5 = 0.5

P(k) = (n C k)*(p)^k*(q)^(n-k)

P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)

----------------

If you plug in k = 7, then we get,

P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)

P(7) = (15 C 7)*(0.5)^7*(0.5)^(15-7)

P(7) = 6435*(0.5)^7*(0.5)^8

P(7) = 0.1964

-----------------

Repeat for k = 8 all the way through k = 15. You could do this by hand, but I recommend using a spreadsheet to make things go much quicker.

Once you determine those values, add them up and you should get 0.6964 which is the binomial probability we want.

------------------

As for the normal approximation, you'll need to compute the mu and sigma to get

The normal distribution will have those parameters.

Since we're using a continuity correction, we need to bump the x = 6 up to x = 6.5, since we want to be larger than 6

Let's find the z score

z = (x - mu)/sigma

z = (6.5 - 7.5)/(1.93649)

z = -0.516398

Now use a Z table or a calculator to determine that P(Z > -0.516398) = 0.6972 approximately. If you're using a TI calculator, then you'll use the normalCDF function. If you're using excel, then you would use the NormDist function (make sure to turn the cumulative flag to "true"). Alternatively, you can search out free z calculators to get the job done.

Answer:

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Upper 20% of weights:

The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]

[tex]X = 0.84\sigma + \mu[/tex]

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

Answer:

Length of the arc = 10. 26

Step-by-step explanation:

14 × 11 / 15

= 154 / 15

= 10.26

Length of the arc = 10. 26

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

(10 , -1)

Step-by-step explanation:

(10)+6(-1)=4

10-6=4

Answer:

LXVII

Step-by-step explanation:

The roman numeral for 67 is LXVII

LX represents 60 and VII represents 7

Answer:

volume of the triangular pyramid=1/3×base×height

=1/3×(1/2×6×5)×10

=1/3×15×10

=50 yd³

[tex]V = \frac{1}{3} (\frac{1}{2}\times base \: area) \: \times height[/tex]

[tex]V = \frac{1}{3} ( \frac{1}{2}\times base \: area) \: \times height \\ V = \frac{1}{3} (\frac{1}{2} (6)(5))(10) \\ V = \frac{1}{3} (150) \\ V = 50 {yd}^{3} [/tex]

[tex]D. \: \: V = 50 \: {yd}^{3} [/tex]

I hope it helps ┐(・_・┐)

Answer:

4cm ×6cm(parallelogram)

Step-by-step explanation:

y int

x=0

y=4(0)-6

y=-6

0;-6

x int

y=0

0=4x-6

6=4x

6/4=x

3/2=x

3/2;0

Answer:

Below in bold.

Step-by-step explanation:

y = 4x - 6

Find y-intercept:

y = 4(0) - 6 = -6

Y intercept is at (0, -6)

x-intercept:

4x - 6 = 0

4x = 6

x = 6/4 =1.5.

x intercept is at (1.5, 0)

Midpoint is at ((0+1.5)/2, (-6 + 0)/2)

= (0.75, -3)

Answer:

No.

Step-by-step explanation:

Sadie goals = s

that means

2s+ s = 9 (2s is Connor's goals. Twice Sadie's)

3s=9

s=3

Sadie scored 3 goals

Answer:

[tex]-\frac{3 \cdot cos^2x}{(1+sinx)^3}[/tex]

Step-by-step explanation:

[tex]y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})[/tex]                        [tex][ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\[/tex]     [tex][\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\[/tex]

   [tex]= -3 \cdot \frac{cos^2x}{(1+sinx)^3}[/tex]

Answer:

1/52

Step-by-step explanation:

as there is only one of the three of clubs,

total possible outcomes= 52

favourable outcome= 1

P(getting a three of clubs) = total outcome/ favourable outcome

= 1/52

hope this helps

9514 1404 393

Answer:

 T

Step-by-step explanation:

The figure has 5-fold rotational symmetry, so each 72° of CCW rotation will bring point N to the next vertex in the CCW direction. Rotation of 288° will move point N 4 vertices CCW, equivalent to 1 vertex in the CW direction. Either way, that point is now occupied by point T.

  N' ≅ T

Answer:

13500 people

Step-by-step explanation:

0.27 x 50000 = 13500

Using proportions, it is found that the clinic must outreach 13,500 people.

---------------------------

[tex]T = \frac{27}{100} \times 50000 = 0.27(50000) = 13500[/tex]

The clinic must outreach 13,500 people.

A similar problem is given at https://brainly.com/question/22295885

Answer:

Área de un polígono regular. El área o superficie de un polígono es igual al producto del perímetro por la apotema dividido por dos. El perímetro es la suma de todos los lados.

Step-by-step explanation:

Answer:

Step-by-step explanation:

El área de un polígono regular se calcula a partir de su perímetro y su apotema. Sea P el polígono regular con N lados, su área es:

Fórmula del área del polígono regular mediante su perímetro

Answer:

60 feet

Step-by-step explanation:

Answer:

0.9 is the correct answer

Answer:

10 = 3 + 2x

Step-by-step explanation:

twice the number is 2x

the sum of 2x and 3 is written as 2x + 3

2x + 3 =10