Answer:
B
Step-by-step explanation:
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling: Pine Trees Spruce Trees Sample Size 40 80 Mean trunk diameter (cm) 35 30 Population variance 160 160 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
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.
who is spongeborb ???
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!
On test 7, Josue's score dropped back from 98 to 85. What is the percent decrease?
Answer:
13 %
I hope it's correct.
Step-by-step explanation:
initial marks (o) = 98
final marks (m) = 85
rate (r) = ?
Now,
r =
[tex] \frac{o - m}{o} \times 100percent[/tex]
= ((98-85)/98)x100%
=13.26%
0.486 Plus what equals 1.04
Answer:
0.554
Step-by-step explanation:
1.04-.486=0.554
The height of a triangle is 5 more than double the base length. If the height of the triangle is 74mm, what is the base length of the triangle
Answer:
height = 5+2xbase
74 = 5+2xbase
subtract 5 from both sides
69 = 2xbase
divide both sides by 2
34.5mm = base length
I need help ASAP pls help me
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
Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
A study will be conducted to investigate whether there is a difference in the mean weights between two populations of raccoons. Random samples of raccoons will be selected from each population, and the mean sample weight will be calculated for each sample.
Which of the following is the appropriate test for the study?
A. one-sample zz-test for a population proportion
B. A one-sample tt-test for a population mean
C. A two-sample tt-test for a difference between sample means
D. A two-sample tt-test for a difference between population means
E. A two-sample zz-test for a difference between population proportions
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
a fair dice is thrown once write down the probability of getting a three
Step-by-step explanation:
There are 6 faces in a die 3 is an even no.
So, probability of getting 3 is
3/6=1/2 Answer
hope it helps...
You bought some grapes at a farm stand. You paid $2.48 per pound. The pounds are (3.25). What was the total amount that you paid for the grapes?
Answer:
You paid $8.06
Step-by-step explanation:
3.25 pounds times $2.48 per pound is 8.06.
Can I have brainliest pls :D
Hope this helps
Liza went out for pizza with her mom. Their meal cost $32. Sales tax is 5% and they decide to leave 15%
for average service. What is their total bill?
Answer:
7
Step-by-step explanation:
fdgrgeag
How many, and what type of solutions do the follow
quadratic equations have?
2x2 – 3x – 7 = 36
Answer:
2 real solutions
Step-by-step explanation:
Determinant of a quadratic equation: [tex]b^2-4ac=(-3)^2-4\times2\times(-7-36)=353.[/tex]
Since the determinant is larger than 0, it has 2 real solutions.
help me plssss
6 - BLANK = 5 AND 1/3
620 is invested in an account earning 5.5%interest APR, compounded quarterly. Write a function showing the value of the account after t years
Answer:
Y=620×((1+(0.055÷4))^(4t)
Step-by-step explanation:
Y=X ((1+(r/n))^(nt)
Y future value
X present value 620
R interest rate 0.055
N compound quarterly 4
T time
Determine the period of the function y = Negative 2 sine (StartFraction pi Over 2 EndFraction) x.
a.
2
c.
-2
b.
3.14
d.
4
Answer: D. 4
Step-by-step explanation:
Sample Size Sample average Sample SD
Diagnosed early bird 67 1.23 0.93
Diagnosed night owl 59 2.10 0.99
Analyze the data using a theory-based approach (use the Theory-based Inference applet) to determine whether early birds differ from night owls with respect to average nightmare frequency. The data are not strongly skewed within each group.
Express the null and alternative hypotheses for testing.
a. Null: The population average VDAS score for early birds is less than the population average VDAS score for night owls.
Alt: The population average VDAS score for early birds is greater than the population average VDAS score for night owls.
b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.
c. Null: The population average VDAS scores are different for the two groups.
Alt: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
d. Null: The population average VDAS score for early birds is greater than the population average VDAS score for night owls.
Alt: The population average VDAS score for early birds is less than the population average VDAS score for night owls.
Answer:
b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.
Step-by-step explanation:
Given
The above data
Required
Determine the null and alternate hypothesis
When looking out for the null hypothesis, only options with equality statements or equal sign should be selected as the null hypothesis.
i.e. statements like "equal to", "the same as", etc.
The alternate hypothesis will then contain inequalities or inequality statements
From the list of options, only option (b) is correct.
6. The angle of depression from the top of a tower to a boulder on the ground is 38°. If the tower is 25 m high,
how far from the base of the tower is the boulder?
In AHIJ, h = 160 inches, i = 910 inches and ZJ=28°. Find the area
of AHIJ, to the nearest square inch.
Answer:
34178
Step-by-step explanation:
deltamath
What is the measure of the central angle that goes with the given arc measure shown below
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).
Answer:
Step 2
Step-by-step explanation:
I'm not that sure but I think that its right
Answer:
B. Step 2
Step-by-step explanation:
ENDG
the perimeter of a rectangle is 36cm.If it is length is 10 cm find its breadth
Answer:
The perimeter of a rectangle is 36 cm, its breadth is 8 cm
Step-by-step explanation:
For a given rectangle
Perimeter (P) = 36 cm
length (L) = 10 cm
Now,
Perimeter (P) = 2 × (length + breadth)
P = 2 × (l + b)
36 = 2 × (10 + b)
36 = 20 + 2b
2b = 36 - 20
2b = 16
b = 16 ÷ 2
b = 8 cm
Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm
-TheUnknownScientist
The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.
Answer:-Given:-[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.
[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.
To Find:-Breadth (B) of a rectangle.
Solution:-We know,
P = 2(L + B)
So,
36 = 2(10 + B)
36 = 20 + 2B
36 - 20 = 2B
16 = 2B
B = 16/2 = 8 cm.
Breadth (B) of a rectangle is 8 cm. [Answer]Each side of the park is 9meters long what is the perimeter
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
How do you solve this
use sine law. x = 16.3cm
Step-by-step explanation:
Since triangle angles add up to 180 deg
angle F = 180 -87 -40 = 53
side EF/ sin (angle G) = side EG / sin (angle F )
EF / sin(87) = 13 / sin(53)
EF = 13/sin(53) × sin(87)
EF = 16.3cm
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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
1 Krista has 10 cups of gelatin. If each bowl holds 3 cup, how many bowls can she fill?
Answer: Krista can fill 3 1/3 bowls of gelatin.
What are the coordinates of point A" if triangle
ABC is reflected over the y-axis and then
translated by the rule (22, y) + (x – 5, y – 5) ?
A. (-2,-2)
B. (2,-2)
C. (-2,2)
D. (2,2)
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:
I need help ASAP?!!!!!!
Answer:
x = 2
Step-by-step explanation:
5x - 6 = 4
add 6 to each side
5x = 10
divide each side by 5
x = 2
What do you want to know
Answer:
the point of living life if there's any also what's after death
PLEASE HELP!!!!!!!!!!!!
Answer:
I didnt get what the photo shows....
Step-by-step explanation:
Triangle ABC is equilateral. What is the measure of angle B?
Answer:
60
Step-by-step explanation:
Equilateral triangles- all 3 angles are 60