A biologist studied the frequency of croaks for frogs from two different regions. From a random sample of 32 frogs located in the northern region, the mean number of croaks per hour was 21.3, and from a random sample of 38 frogs located in the southern region, the mean number of croaks per hour was 28.9. To estimate the difference in the mean number of croaks (southern minus northern), a 95 percent confidence interval was constructed from the samples. The interval was reported as (7.1, 8.1). Which of the following claims is supported by the interval?
A. All southern frogs croak more times per hour than do all northern frogs.
B. The northern frogs are likely to have a greater mean number of croaks per hour than the southern frogs.
C. The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
D. All frogs in the study have about the same number of croaks per hour.
E. The northern and southern frogs have the same mean number of croaks per hour.

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

Since at the 95% confidence, the difference between the number of croaks per hour between southern and northern region frog is lying in the rage 7.1 to 8.1, this shows that the southern region's frogs' croak frequency is highly likely to be greater than that of northern region's frogs' croaks' frequency.

The claim supported by the interval is

Option C. The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.

What does the interval tell obtained in the hypothesis testing?

The interval we obtain at certain confidence tells that the value of the test statistics will lie in that interval with that confidence.

How to identify what is the obtained interval indicating?

Since the test statistics was measuring the croak frequency difference

with southern - northern, and since at 95% confidence,  the difference will lie in interval (7.1, 8.1), which is positive, thus the frequency of crocks for southern frogs is greater than the frequency of crocks for northern frogs.

Thus,

The claim supported by the interval is

Option C. The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.

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Related Questions

Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes,and a watermelon that weighed 6.78 pounds.

What is the total weight, in pounds, of the fruit that Shawn bought last week?

Answers

Answer:

not sure but i think it should be 10.54

Please help this is due in 31 minutes

Answers

Answer:

X=45

Step-by-step explanation:

You see the congruency markings use B.A.T to determine that the unmarked angle is x, therefore 4x=180 and x=45

nature of roots the determining 2x²-13x+15=0

Answers

Answer:

Step-by-step explanation:

discriminant = (-13)² - 4·2·15 = 49

discriminant > 0 so there are two real roots

IF U KNOW IT
Kai buys 6 fiction books and 4 nonfiction books.

What is the ratio of fiction books to nonfiction books?



2 : 3
2 : 10
3 : 10
3 : 2

Answers

Answer: 3:2

Step-by-step explanation:

This is correct because 3:2 is equal to 6:4. 3:2 is 6:4 divided by 2.

Hope this helps ;)

Answer:

3:2

Step-by-step explanation:

Fiction to non-fiction.

6:4

Now, simplify. Divide both by 2.

6/2=3

4/4=2

3:2 is the ratio.

2) Add 1/3n + 2/3 and -1/6n + 1/6m

Answers

Answer:

m/6+  n/3  +1/2  

Step-by-step explanation:

70%of it is 14 min find the valy ofx

Answers

Note:

Your questions sound a little unclear.

But, I am assuming your questions as:

''70% of x is 14 min. Find the value of x''.

So, I will solve assuming this statement which anyways would clear your concept.

Answer:

The value of x = 20.

Step-by-step explanation:

Given

''70% of x is 14 min. Find the value of x''.

Thus,

70% of x = 14

70/100 × x = 14

0.7x = 14

divide both sides by 0.7

0.7x/0.7 = 14/0.7

x = 20

Therefore, we conclude that the value of x = 20.

How to solve (
7•6-4^2)+4

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

(7*6 - 4^2)+4 = (42 - 16) + 4 = 26 + 4 = 30

Find the area of the following shape:

Answers

Answer:

63 in^2

Step-by-step explanation:

Area = base x height

Base: 7

Height: 9

9 x 7 = 63

Answer:

63 inches squared or [tex]63in^{2}[/tex]

Step-by-step explanation:

The answer is 63 inches squared.

The area of a parallelogram is always base times height.

In this case, the base is seven and the height is nine.

To find the area, we must multiply nine by seven

We get 63

But, we are multiplying inches and inches together

When we multiply something by itself, it becomes squared

Since we are multiplying inches by inches, it becomes inches squared

Therefore, the area of the shape is 63 inches squared, or

[tex]63in^2[/tex]

When completely factored, 8x + 2y - 4

Answers

Answer:...

-4+8x+2xy

Step-by-step explanation:

Can anyone help me pls

Answers

Answer: likely

Step-by-step explanation:

Likely because dog is 50% of the circle

THIS IS URGENT IT IS DUE TODAY I NEED IT FAST, I ONLY NEED THE STEPS NOT THE ANSWER SO PLEASE SOMEONE HELP ME IT WOULD BE MUCH APPRIECIATED.

Answers

Does that help? Because don’t get the questions

40 pointssssss!!!!!!!

Answers

Answer: A.

Step-by-step explanation: It's 20 pionts bro.

1/cd^4 would be the correct answer.

First, cancel the common factor of c and c^2.

Then, cancel the common factor of y^4 and y^8

I need help with this geometry question

Answers

Answer:

x=9; JL= 23

Step-by-step explanation:

To find x:

If JL and KM are equivalent, then JL = KM. Substitute the equations and you get 2x+5 = 7x-40.

Put the similar terms on the same side by subtracting 2x from both sides and adding 40 to both sides. You will get 45=5x.

Get x alone by dividing both sides by 5 and you will get 9=x.

To find JL:

Substitute the x in 2x+5 (JL length equation) with 9. Your new equation will be 2(9) + 5.

2•9 = 18.

18+5=23

The number line graph below is the graph of which of the following
inequalities?

-2 B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X

Answers

Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.

if ther are 36 eggs in 4 cakes, what should we divide by?​

Answers

There would be 9 eggs in each cake. 36 divided by 4 would equal 9.

Neeed helpp on this question

Answers

Answer:

y=4x-9                                                                      

Step-by-step explanation:

slope is rise/run

choose one point and do rise/run until you get to the next point

from the graph you can see the y-intercept is -9

Answer:

y=2x+-9

Step-by-step explanation:

this is the answer

HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G

Answers

Answer:

M₁=Fr²/GM₂

Step-by-step explanation:

The original formula is

F = GM₁M₂/r²

Rearrange it so M₁ is isolated:

Fr²=GM₁M₂

M₁=Fr²/GM₂

A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event

Answers

Answer:

Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability

Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability

Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability

Step-by-step explanation:

The probability of the given events is:

[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]

According to the question,

Number of outcomes = 8

Event A:

Having the alternative even and odd numbers.

→ [tex](EOE, OEO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event B:

No even number and last two rolls.

→ [tex](EOO,OOO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event C:

Exactly on odd number:

→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]

Thus the above approach is correct.

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Which is bigger 57.8% or 0.578 ?

Answers

Answer:

They are the same

Step-by-step explanation:

When you convert 0.578 into a percentage you get 57.8%

When you convert 57.8% into a decimal you get 0.578

Carlos got 130 pieces of candy on Halloween and 39 of them were lollipops what percent of the pieces of candy were lollipops

Answers

Answer: 30%
The answer is 30 percent.

Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame. Enter the number of photo frames that can be decorated using 4/5 meter of ribbon?

Answers

It’s 4 pieces of ribbon :)

The number of 4 of photo frames that can be decorated using 4/5 meter of ribbon.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame.

And Jamie has  4/5 meter of ribbon.

To find the number of photo frames that can be decorated using 4/5 meter of ribbon:

So, using division operation,

the number of photo frames,

= 4/5 ÷ 1/5

= 4 x 5/5

= 4

Therefore, Jamie can make 4 photo frames from the given ribbon.

To learn more about the division;

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Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11

Answers

5(3y - 2) + 6y= 11
Multiply 5 with what is in the brackets =15y - 10 + 6y= 11
Add the numbers 15y and 6y
21y2 - 10= 11
Minus 10 from 21
11y2to the power 2
Divide by y
Therefore answer will be 11
Y =11

please solve pic attached below. I will make brainless

Answers

Answer:

hgfc

Step-by-step explanation:

nbc

Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3

Answers

1024 i hope its the answer

Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +

Answers

Answer:

h² - 10h + 25

Step-by-step explanation:

h² - 10h + _ → (h - 5)² = h² - 10h + 25

For the pair of similar triangles, find the value of x.

The value of x is .

Answers

Answer:

18.

Explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The value of 'x' in two similar triangles is 6.46.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in similar triangles the ratio of their corresponding sides are equal.

Therefore, The equation to determine the value of 'x' should be,

(2x - 6)/20 = 36/(x + 6).

36(2x - 6) = 20(x + 6).

72x - 216 = 20x + 120.

72x - 20x = 120 + 216.

52x = 336.

x = 336/52.

x = 6.46.

learn more about triangles here :

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1. Aubrey is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 6 hours? How much gas would be left after tt hours?

2. Find the sum of -8x^2+3 and -9x^2+3x-3−

3.Simplify the expression to a polynomial in standard form:

(-3x-5)(-x^2+x-5)

Answers

Answer:

See solutions below

Step-by-step explanation:

1) Total amount of gallons = 14 gallons

If she uses up 0.75 gallons of gas each hour then;

1 hour = 0.75gallons

after driving 6 hours, amount of gallons used will be;

6 hours = x

Divide both expressions

1/6 = 0.75/x

x = 6 * 0.75

x = 4.5gallons

Amount of gas left = 14 - 4.5 = 9.5 gallons of gas

Hence 9.5 gallons of gas will be left after 6 hrs

Similarly;

1 hour = 0.75gallons

after driving t hours, amount of gallons used will be;

t hours = x

x = 0.75t

Amount of gas left after t hours = (14 - 0.75t) gallons of gas

2) We are to find the sum of -8x^2+3 and -9x^2+3x-3

-8x^2+3 + (-9x^2+3x-3)

= 8x^2+3 -9x^2+3x-3

Collect like terms

=  8x^2 -9x^2+3x + 3-3

= -x^2 + 3x

Hence the sum is -x²+3x

3) Expressing in standard form;

(-3x-5)(-x^2+x-5)

Expand

= 3x³-3x²+15x+5x²-5x+25

Collect like terms

= 3x³-3x²+5x²+15x-5x+25

= 3x³+2x² + 10x + 25

Hence the product in polynomial form is 3x³+2x² + 10x + 25

Which two expressions are equivalent​

Answers

Answer:

A

Step-by-step explanation:

A) the only answer in which the distributive property is used correctly.

The difference between the high and low temperatures one day was 26°F. The low was 64°F. find
the high temperature.

A. 38
B. 2
C. 90
D. 1664

Answers

Answer:

90 degrees F

Step-by-step explanation:

if the distance from the temperatures is 26 degrees and the low point is 64, just add up 26 and 64 and you will get 90 degrees F.

2. Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, is the first term, n is the term number and d is the common
difference

A(n) = 2 - 1 + (n - 1)d

A(n) = a + (n - 1)d

A(n) = a + (n)(d - 1)

O A(n) = a + (n + 1)d

Answers

Answer:

A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.

Step-by-step explanation:

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