Kyle is studying migration patterns of birds. Specifically, he is comparing the distance travelled by geese and the distance travelled by pelicans in a year. Do geese travel significantly more distance than pelicans do?

Geese Pelicans
M = 191 miles M = 190 miles
n = 61 n = 61
s = 1.429 s = 1.355

Required:
a. State the null and alternative hypotheses in words.
b. Locate the critical value that defines the critical region.
c. Calculate your statistic.
d. Make a decision with respect to the null.
e. Write a concluding statement in everyday language.

Answers

Answer 1

Answer:

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic = 3.96

Critical value = 1.67

Reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

Step-by-step explanation:

M= xbar1 = 191 ; M = xbar2 = 190 miles

n1 = 61 n2 = 61

s = 1.429 ; s2 = 1.355

Hypothesis :

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic :

(x1 - x2) ÷ √[(s1²/n1) + (s2²/n2)]

(191 - 190) ÷ √[(1.429²/61) + (1.355²/61)]

1 ÷ √[(0.0334760) + (0.0300987)]

1 ÷ √0.0635747

1 ÷ 0.2521402

= 3.966

Degree of freedom :

df = n - 1

df = 61 - 1 = 60

Critical value :

Tcritical at 0.05%, df = 60

Tcritical = 1.67

Decision region:

Reject H0 if Tstatistic > Tcritical

Since ;

3.96 > 1.67 ; We reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans


Related Questions

(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 16 specimens of a particular species, 7 resprout after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire.

Answers

Answer:

The answer is "[tex]0.45 \pm 0.18204[/tex]"

Step-by-step explanation:

For the +4 sample proportion[tex]= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45[/tex]

Sample percentage measurements estimated stdev

[tex]= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111[/tex]

Calculating the critical z for a=0.1, two-tailed = 1.64

Calculating the confidence interval:

[tex]= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204[/tex]

What is the area of figure below?

Answers

Answer:  141

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

Work Shown:

A = area of trapezoid

A = height*(base1+base2)/2

A = 9*(16+10)/2

A = 9*26/2

A = 9*13

A = 117

---------

B = area of triangle

B = base*height/2

B = 6*8/2

B = 48/2

B = 24

----------

C = area of entire figure

C = A+B

C = 117+24

C = 141 square inches

We can write "sq in" or "in^2" as shorthand for "square inches".

Each week the manager of a coffee shop orders three more cases of soy milk than almond milk. Let x represent the cases of almond milk and lery
represent the cases of soy milk
Create a table to represent this relationship.
Move each necessary number to its appropriate row to complete the table.
1
5
4
7
12

Answers

Answer:

1 4

2 5

4 7

7 10

9 12

Step-by-step explanation:

g(x) = 3x^2 + 10x-8
Use the drop-down menus to factor the expression and find the zeros of g(x).

Answers

Answer:

g(x) = (3x - 2)(x + 4)

x = {-4, 2/3}

Step-by-step explanation:

g(x) = 3x^2 + 10x - 8

Factor

g(x) = (3x - 2)(x + 4)

Zero I

3x - 2= 0

3x = 2

x = 2/3

Zero II

x + 4 = 0

x = -4

x = {-4, 2/3}

Answer:

The answer is, [tex]x = {-4, 2/3}[/tex]

Explanation:

Definition of factor:

A factor is a number that divides another number by itself without leaving a residue. To put it another way, if multiplying two whole numbers produces a product, the numbers we're multiplying are factors of the product since they're divisible by it.

Factors can be found using two methods: multiplication and division. In addition, divisibility rules can be applied.

Step-by-step:

[tex]g(x) = 3x^2 + 10x - 8[/tex]

Factor:

[tex]g(x) = (3x - 2)(x + 4)[/tex]

Step 1:

Zero 1.

[tex]3x - 2= 03x = 2x = 2/3[/tex]

Step 2:

Zero 2.

[tex]x + 4 = 0x = -4[/tex]

[tex]x = {-4, 2/3}[/tex]

Hence, the g(x) zeros are [tex]x = {-4, 2/3}[/tex]

Learn more about factor here-

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If x=-4 what is the value of the following expression?

2x^2 +3x -2

18
12
-22
-46

Answers

Answer:

2x^2 +3x -2

18

12

-22

-46

Step-by-step explanation:

PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE PLEAASEEEEEEEE PLEASEEEEEEEE I NEED HELPPPPP​

Answers

Answer: A. SAS

If we look at how the triangles are congruent, we have a side, an included angle, and another side. Therefore, these triangles are congruent by Side-Angle-Side. So we can say that MO is congruent to PR because the triangles are congruent by SAS.

Hope this helps!! :)

how to solve 36x-8y2 x is 3 y is -6

Answers

Use the same variables.
Multiply 36 by the variable for x (which equals 108) and multiply 8 x the value for y squared (which equals -288) and then subtract. To subtract, use the rule for when you subtract with a negative number. 108 - the reciprocal of -288 = 180

-3(_x + 4) = 9x – 12 Using the distributive property, what number would go in the blank in order for the given statement to be correct? ​

Answers

Answer:

-3(-3x + 4) = 9x - 12

Step-by-step explanation:

-3( Ax + 4) = 9x - 12

-3Ax -12 = 9x - 12

Equating coefficients of  x terms on both sides :

-3A = 9

A = -3

Therefore, -3(-3x + 4) = 9x - 12

At the city museum, child admission is $6.20 and adult admission is $9.90 . On Monday, three times as many adult tickets as child tickets were sold, for a total sales of $1436.00 . How many child tickets were sold that day?

Answers

Can you please delete this. I have answered it wrong. Thanks

HELP QUICK!!!!!!!! GIVING BRAINLIEST!!

Answers

3x. =180-90

3x. =90

x. =30

Which three types of transformations result in congruent shapes?

Answers

Answer:

There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent

Keano and Emily are going to Europe to buy some shoes, they will need €1500. How many American Dollars will it take to get that much, knowing that the exchange rate of USD: EUR is €1: $1.14 *

Answers

Answer:

1710

Step-by-step explanation:

you will multiply 1500 euros by the exchange rate

Question 3 (1 point)
Find the value of x for the right triangle.
15
30°
Х

Answers

Answer:

x = 8.7

Step-by-step explanation:

Reference angle = 30°

Opposite side length = x

Adjacent side length = 15

Apply trigonometric function, TOA:

Tan 30° = Opp/Adj

Plug in the values

Tan 30° = x/15

Multiply both sides by 15

15*Tan 30° = x

8.66025404 = x

x = 8.7 (nearest tenth)

Pls help this is with 26 pt and brainlest

Answers

Answer:

a) 1 only

Step-by-step explanation:

this is what I believe it is but 1 is for sure an answer

Find, if possible, exact solutions for the quadratic equation. 7x^2 =
-28x

Answers

Answer:

X = 0, -4

Step-by-step explanation:

Symbolab helped

please help me solve this

Answers

Answer:

x = 4.58

Step-by-step explanation:

5² = 2² + x²

x² = 5² - 2²

x² = 25 - 4

x = √21

× =4.58

find the exact value of cos A in simplest radical form

Answers

Answer:

cosA = 1/2

Step-by-step explanation:

cos = adj/hyp

cosA = 5 /10

cosA = 1/2

Consider a normal distribution of values with a mean of 32 and a standard
deviation of 1.5. Find the probability that a value is less than 36.8.


Anyone know?

Answers

Answer: The probability that a value is less than 36.8 is 0.9993.

Step-by-step explanation:

Let X be the random variable that normally distributed.

Given: [tex]\mu=32,\sigma=1.5[/tex]

The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]

[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]

Therefore, The probability that a value is less than 36.8 is 0.9993.


What is the distance from the origin to point A graphed on the complex plane below?

Answers

I’m pretty sure it’s b!

Correct me if I’m wrong
Have a nice day!

Answer:

B

Step-by-step explanation:

Edge

Determine the equation of the circle graphed below.

Answers

9514 1404 393

Answer:

  (x -6)^2 +(y -6)^2 = 10

Step-by-step explanation:

To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.

  d^2 = (x2-x1)^2 +(y2-y1)^2

The radius is the distance between the two points shown, so we have ...

  d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10

__

The equation of a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

For (h, k) = (6, 6) and r^2 = 10, the equation is ...

  (x -6)^2 +(y -6)^2 = 10

Identify a segment parallel to segment ZY

Answers

Answer:

UT

Step-by-step explanation:

Opposite sides of a rectangle are parallel

what is 300 to the nearest ten

Answers

300 simply because the last 2 numbers of 300 are (00) therefore it can neither be rounded up or down

Answer:

300⇒ nearest ten

300 (rounded to the nearest ten)

Explanation:

We round the number up to the nearest ten if the last digit in the number is 1, 2, 3, 4, 5, 6, 7, 8, or 9.  If the last digit is 0, then we do not have to do any rounding, because it is already to the ten. Therefore 300 rounded to the nearest ten is 300.

A baby whale gains about 250 pounds a day. It was 250 pounds at birth. Find an equation to find the number of days it will take for a baby to weigh its first ton.

Answers

Answer:

8 days

Step-by-step explanation:

1 ton=2,000 pounds and If you divide 2,000÷250=8 days. It will talk 8 days for the baby whale to weigh his first ton.

Find the value of x . Round your answer to the nearest tenth.

Answers

the answer is 26

brainliest?

Answer:

The answer is 100 :D

Step-by-step explanation:

1: You would start by finding the sum of the two angles given (72 and 8) which is 80

2: You would then subtract the sum from 180

3: 180-80 = 100

Hope this helps :D

solve for x:

x + 2 1/3 = 3 1/5

x-2 2/3 = 5/6 ​

Answers

It is 3/15 because it was the only time that I’ve had the same problem in my class

Suppose the population of the world now is 4 billion and its doubling period is
35 years, what will be the population of the world after 350 years, 700 years, 1050 years?
If the surface area of the earth is 1,860,000 billion square feet, how much space would
each person get after 1050 years?

Answers

Answer:

4096b after 350 years, 4194304b after 700 years, and 4294967296b after 1050 years. 0.000433065 sq ft. per person after 1050 years making earth uninhabitable.

4096b after 350 years, 4194304b after 700 years, 4294967296b after 1050 years, 0.000433065 sq ft. per person after 1050 years making earth  uninhabitable.

What is surface area?

The surface area of a solid object exists as a measure of the total area that the surface of the object inhabits.

The surface area of a figure (in square units) exists the numeral of unit squares it brings to cover the entire surface without gaps or overlaps. If a three-dimensional figure includes flat sides, the sides exist named faces. The surface area exists as the total of the areas of the faces.

4096b after 350 years, 4194304b after 700 years, 4294967296b after 1050 years, 0.000433065 sq ft. per person after 1050 years making earth  uninhabitable.

To learn more about surface refer to:

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urgent..
not explanation just answer plzz

Answers

Answer:

D 1

Step-by-step explanation:

can someone help me i need help pls pls pls pls

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex] \frac{2}{3} \times \frac{7}{4} \\ = \frac{2 \times 7}{3 \times 4} \\ = \frac{14}{12} \\ = \frac{7}{6} [/tex]

You'll get the answer as 7/6 which is equal to 1.16. 2/3 is equal to 0.66.

[tex]•°• \frac{7}{6} > \frac{2}{3} [/tex]

So, the answer is greater than 2/3.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Find the height of the pyramid.

Answers

Answer:

3yd

Step-by-step explanation:

use your brain

3yd I think let me know if is wrong

easy question.

Solve the inequality -5x<40

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-5x < 40}[/tex]

[tex]\large\text{DIVIDE -5 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-5x}{-5}<\dfrac{40}{-5}}[/tex]

[tex]\rm{CANCEL\ out: \dfrac{-5}{-5} \ because\ that \ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: \dfrac{40}{-5}\ because \ that \ gives \ you \ what \ you \ are\ comparing}\\\\\rm{to \ the \ x-value}[/tex]

[tex]\mathsf{\dfrac{40}{-5}=\boxed{\bf -8}}[/tex]

[tex]\mathsf{x > -8}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \large \bf x }\bf > \large\textsf{\bf -8}}}\huge\checkmark[/tex]

[tex]\boxed{\large\textsf{IT is an O(P)(E)(N)(E)(D) circle shaded to the right}}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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