question in screenshot

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

[tex]H_a: \mu_1 - \mu_2 > 0[/tex]

In which [tex]\mu_1[/tex] is the mean pine trees height while [tex]\mu_2[/tex] is the mean spruce trees height.

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

[tex]X = 35 - 30 = 5[/tex]

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

[tex]s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2[/tex]

[tex]s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}[/tex]

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

[tex]s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{5 - 0}{2.4495}[/tex]

[tex]z = 2.04[/tex]

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Answer: 86%discount approx

Step-by-step explanation:

You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:

578:100=78:x

X=(78*100)/578

X=14 %

Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%

Answer: 40 PLEASE MARK BRAINLEST

Step-by-step explanation:

Answer:

A) 40

B) 20

Step-by-step explanation:

By Length · Width · Height

A)  (5) · (4) · (2) = 40

For part B, the length and width are the same, but the depth (height) of the water is only one foot, so we can replace the height value from the first equation with 1.

B) (5) · (4) · (1) = 20

Answer: i think c

Step-by-step explanation:

Answer:

I believe the answer is B i am not 110% sure tho

Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches

Step-by-step explanation:

Answer:

6.11 or 6.12

Step-by-step explanation:

You will have to divide 116.25 by 19

to find the length Mr.Rice will need to purchase

which is 6.11842105

Answer:

34178

Step-by-step explanation:

deltamath

Answer:

D. A two-sample t-test for a difference between population means

Step-by-step explanation:

Since in the question it is mentioned that there would be the random samples taken from each population of raccons and the weight of the mean sample would be determined for each kind of sample

So here the test for the study that should be considered is two sample t-test so that it would create a difference between the population means

Hence, the option d is correct

Answer:

ΔABC ≅ ΔPQR

Step-by-step explanation:

therefore, AB has the same length as PQ

therefore, BC has the same length as QR

therefore, AC has the same length as PR

∡A = ∡P

∡B = ∡Q

∡C = ∡R

Answer:

$460

Step-by-step explanation:

Let

x = original price of the television

Sale price = $322

Discount = 30%

x - 30% of x = 322

x - 0.3 * x = 322

x - 0.3x = 322

0.7x =322

x = 322/0.7

x = $460

x = original price of the television = $460

10+6+9+13+7= 45

and divide it by 5

the answer is 9

the answer is 2.74, this is easy to figure out if you want to you can look up a claculator for it

Answer:1125

Step-by-step explanation:

w=width

w+20=length

P=2l+2w

140=2(w+20)+2w

140=2w+40+2w

140=4w+40

140-40=4w

100=4w

w=100/4

w=25 m

l=25+20=45 m

A=lw

A=45*25

A=1125 sq m

Answer:

( 4 x 10 y )

Step-by-step explanation:

Answer:

The cost of concrete for the pillar would be $ 15,260.40.

Step-by-step explanation:

Given that a concrete pillar has the shape of a cylinder and it has a diameter of 6 meters and a height of 5 meters, if concrete costs $ 108 per cubic meter, to determine how much did the concrete cost for the pillar the following calculation must be done, knowing that the volume of a cylinder is calculated with the following formula = πxr²xh:

3.14 x (6/2) ² x 5 = X

3.14 x 3² x 5 = X

3.14 x 9 x 5 = X

3.14 x 45 = X

141.3 = X

141.3 x 108 = X

15,260.4 = X

Therefore, the cost of concrete for the pillar would be $ 15,260.40.

Step-by-step explanation:

[tex] - 5 = \frac{1}{3} ( - 1 - w) \\ \frac{1}{3} ( - 1 - w) = - 5 \\ - 1 - w = - 5 \div \frac{1}{3} \\ - 1 - w = - 5 \times 3 \\ - 1 - w = - 15 \\ - w = - 15 + 1 \\ - w = - 14 \\ w = 14[/tex]

Answer:

60

Step-by-step explanation:

Equilateral triangles- all 3 angles are 60

Answer:

Reflected OVER Y makes A

A (-7,3) -> (7,3)

Translated makes

A (7,3) -> (7-5, 3-5) = (2,-2)

B)

Step-by-step explanation:

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. So, there are 24 different ways they can stand in line.

Factorial of a positive integer is the result of the repeated multiplication of all the integers from 1 till that considered integer.

Thus, if we want to take the factorial of 'n',(n being a positive integer), then:

[tex]n! = 1 \times 2 \times \cdots \times (n-1) \times n[/tex]

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other.

The different ways they can stand in line = 4!

[tex]= 4 \times 3 \times 2 \times 1\\\\= 12 \times 2\\\\24[/tex]

So, there are 24 different ways they can stand in line.

Learn more about factorials here:

https://brainly.com/question/16036678

#SPJ2

Answer: Krista can fill 3 1/3 bowls of gelatin.

Answer:

the point of living life if there's any also what's after death

Answer: 72

Step-by-step explanation:

Set it up as a ratio

[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]

Answer:

7

Step-by-step explanation:

fdgrgeag

Answer:

height = 5+2xbase

74 = 5+2xbase

subtract 5 from both sides

69 = 2xbase

divide both sides by 2

34.5mm = base length

Answer:

Spongeborb???

I don't know a spongeborb, but I DO know a spongebob

Spongebob is my homie, he lives right next door to me in his pineapple...and occasionally, I make him do my dishes

Answer: spongeborb?

SpongeBob SquarePants is the title character and protagonist of the American animated television series of the same name. He is a sea sponge who works as a fry cook at the Krusty Krab, a fast food restaurant known for its signature burger, the Krabby Patty.

Step-by-step explanation:

Have a nice day!