Biologists are interested in how temperature changes might affect the frequency of mating calls of frogs. Twenty gray tree frogs are randomly chosen for a study. For each frog, the temperature of its habitat (in degrees Celsius) and the frequency of its mating call (in tones per second) are recorded. The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768. Assume that the conditions for inference for the slope of the regression line have been met. Which of the following is the correct interpretation of the calculated confidence interval?

a. We are 96 percent confident that the increase in mating call frequency of an individual frog when its habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
b. We are 96 percent confident that the average increase in mating call frequency in the sample of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
d. We are 96 percent confident that the average increase in habitat temperature in the sample of frogs when mating call frequency increases by one tone per second is between 1.573 and 3.109 degrees Celsius.
e. We are 96 percent confident that the average increase in habitat temperature in the population of frogs when mating call frequency increases by one tone per second is between 1.573 and 3.109 degrees Celsius.

Answers

Answer 1

Answer:

c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768.

This means that the 96% CI is between:

2.341 - 0.768 = 1.573

2.341 + 0.768 = 3.109

Which of the following is the correct interpretation of the calculated confidence interval?

We are 96% sure that the population mean(population of frogs) in mating call frequency is in this interval. So the correct answer is given by option c.


Related Questions

i got used for points like 4- times already 5 time is a charm someone would help ?

Answers

Answer:

B

Step-by-step explanation:

Because i said it is

Answer:

The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F

The answer for B is "F  and C are 5 units away from the x-axis

The answer for C is "The distance between F and C is 10 units"

Step-by-step explanation:

1. The figure below shows a triangle with a perimeter of 110 meters. Two sides measure 32.75 meters each.

left side 32.75 m, right side, 32.75 m, bottom ?

What is the length, in meters, of the third side?​

Answers

the length of the third side is 44.5 m

Help me ASAP. Need help please
Question 12!!

Answers

Answer:

x = -1 and -4.

Explanation is given in the above photo.

simplify the expression by using the distributive property 3(7y+4)​

Answers

Answer:

3(7y+4) multiply the inner to 3 so, 21y+12

Hi there!

Let’s distribute 3 by multiplying it by everything inside the parentheses:

3 * 7y = 21

3 * 4 = 12

21y+12 (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

-Sparkle-

Vito Corleone has planned a grand outdoor summer wedding for his daughter in New York City. In the past couple of years, it has rained only 25 days out of the 92 days of summer. Unfortunately for Vito, the local meteorologist has predicted that it will rain on the day of the wedding. On a typical summer day: given it rains, the meteorologist predicted that it will rain correctly) 80% of the time On the other hand, given it did not rain, the meteorologist predicted it will rain (incorrectly 20% of the time.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Answers

Answer:

a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

A. What is the probability that the meteorologist predicts that it rains on a given summer day?

80% of 25/92(prediction of rain, and rained).

20% of 67/92(prediction of rain, did not rain). So

[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Conditional Probability, in which:

Event A: prediction of rain

Event B: rain

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]

Rain and prediction of rain:

80% of 25/92. So

[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]

0.5989 = 59.89% probability that it actually rains on the day of the wedding

In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves.

HELP PLEASE I'LL GIVE BRAINLIEST!!!!!!!!!

Answers

Answer:

12.5

Step-by-step explanation:

u put the decimal at the end of 25 then u times it by 50 and there u get ur answer

hope this helps :D

Yes 12.5 is right I did it up on my calculator

Find the value from above figure​

Answers

Answer:

2

Step-by-step explanation:

(1/64)^-(1/6) = 64^(1/6) = 2

What’s the answer to this question need help !!!!!!!!!!!

Answers

Answer:

A.Yes, [tex]6^{2} + 8^{2} = 10^{2}[/tex]

Step-by-step explanation:

use the map for exercises 13 to 15​

Answers

Answer:

yes he is correct for 13

peyton hikes.  6  1/80

no it would not be a greater distance because if you do 9/10 times 3  and turn  the answer into a decimal the red trail is a greater distance.

Step-by-step explanation:

yes he is correct for 13

peyton hikes.  6  1/80

no it would not be a greater distance because if you do 9/10 times 3  and turn  the answer into a decimal the red trail is a greater distance.

Please help me as soon as possible I need it now please be serious thank you

Answers

Answer:

x+6y+18=0.

Step-by-step explanation:

watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.


terms:

• impossible

• likely

• unlikely

• certain


probability:

1. probability of rain < 1/2

2. probability of rain = 0

3. probability of rain = 1

4. probability of rain > 1/2

Answers

Answer:

Probability:

1. probability of rain < 1/2            -------- Unlikely

2. probability of rain = 0             --------  Impossible

3. probability of rain = 1               -------- Certain

4. probability of rain > 1/2           --------- Likely

Step-by-step explanation:

Given -

Terms:

• impossible

• likely

• unlikely

• certain

Probability:

1. probability of rain < 1/2

2. probability of rain = 0

3. probability of rain = 1

4. probability of rain > 1/2

To find - Watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.

Proof -

Probability:

1. probability of rain < 1/2            -------- Unlikely

2. probability of rain = 0             --------  Impossible

3. probability of rain = 1               -------- Certain

4. probability of rain > 1/2           --------- Likely

Reason -

Probability is the chance that an event will occur. Weather predictions are based on  probability.The probability of an event occurring is represented by a ratio.

A ratio is a number that is  between 0 and 1 and can include 0 and 1.

An event is impossible if it has a probability of 0.

Having 13 months in a year has the  probability of 0.

An event is certain if it has the probability of 1.

The probability that the sun will rise  tomorrow morning is 1

The second group of 20 squirrels of a different breed is placed on a different ranch. The population of squirrels triples each year. Write an equation to model this new situation.

Answers

Answer:    send group

Step-by-step explanation:

A quantity who values do not change is called a

A) Variable
B) Pattern
C) Constant
D) Algebraic expression

Answers

Answer:

C)  constant

Step-by-step explanation:

it would be a constant ! you can remember this by thinking of the meaning of the word constant; consistent. it does not change, constantly. i hope that helped some :)

What are the square roots of 1?

Answers

Answer:

1

Step-by-step explanation:

1^2=1

1, the only square root possible is 1


let: f(x)=x+1 and g(x)=x^2-2

find: f(x) • g(x)

Answers

Answer:

Use Photo Math!!! It will help you and explain everything

Answer:

x³ + x² - 2x -2

Step-by-step explanation:

URGENT PLZ HELP

Solve for x. Assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3

Find w. Round to the nearest tenth.

A. 4.4
B. 1.2
C. 39.5
D. 5.0

Answers

Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

What is sine rule?

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

Learn more about the sine rule here:

https://brainly.com/question/22288720.

#SPJ2

The average of Aaron's three test scores must be at least 93 to earn an A in the class. Aaron scored 89 on the first
test and 94 on the second test. What scores can Aaron get on his third test to guarantee an A in the class? (The
highest possible score is 100.)
15
Write an inequality that models this situation. Use the variable s to represent his score on his third test.

Answers

Answer:

Aaron must obtain a 96 or higher to achieve the desired score to earn an A in the class.

Step-by-step explanation:

Given that the average of Aaron's three test scores must be at least 93 to earn an A in the class, and Aaron scored 89 on the first test and 94 on the second test, to determine what scores can Aaron get on his third test to guarantee an A in the class, knowing that the highest possible score is 100, the following inequality must be written:

93 x 3 = 279

89 + 94 + S = 279

S = 279 - 89 - 94

S = 96

Thus, at a minimum, Aaron must obtain a 96 to achieve the desired score to earn an A in the class.

Aaron must score atleast 90 marks in third test.

Aaron scores in the first  test = 89

Aaron scores in the second test = 94

And the average of Aaron's three test scores must be at least 93 to earn an A.

Let Aaron scores in the third  test = s

Then,

Average = sum of terms divided by the number of terms.

[tex]\frac{89+94+s}{3} \leq 93\\89+94+s\leq 93\times3\\183+s\leq 279\\s\leq 279-189\\s\leq 90[/tex]

So, Aaron must score atleast 90 marks in third test.

Learn more:https://brainly.com/question/19982277

Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the second coin is biased. The biased coin comes up heads with probability .75 and tails with probability .25. She selects a coin at random and flips the coin ten times. The results of the coin flips are mutually independent. The result of the 10 flips is: T,T,H,T,H,T,T,T,H,T. What is the probability that she selected the biased coin

Answers

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

Please help me, it would be greatly appreciated

Answers

Answer:

y = [tex]-\frac{2}{3}x^{2}[/tex]

This is the answer. Hope this helps!

Check all that apply?

Answers

Answer:

B AND D

Step-by-step explanation:

a train leaves a station at 18:20 and arrives its destination at 02:28.How long did it take?​

Answers

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?

28 m3
38 m3
44 m3
48 m3

Answers

Answer:

48m

Step-by-step explanation:

Formula: lwh

4*2*6=48m

Answer:

48

Step-by-step explanation:

Simplify 4(5x + 8) show work please

Answers

Answer:

20x+32

Step-by-step explanation:

4(5x+8)

4*5x + 4*8

20x+32

Which if the following is equivalent to 7-2(x+2)<-4-3(1-x)

Answers

Answer:

The answer is -5x<-10 because the equation is equal to X>2 and answer-5x<-10  is also equal to X>2

Step-by-step explanation:

wszystkie 5 zadań pls

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

Musisz przejść do Brainly.ph, jedyny sposób, w jaki z tobą rozmawiam, to tłumacz. Brainly.com jest dla języka angielskiego

Step-by-step explanation:

5. A large firm hires 3% more workers which brings
its total number of workers to 12772. How many
workers did the firm have before the increase?​

Answers

Answer:

425733.32

Step-by-step explanation:

3%= 12772×100÷x

3x= 12772×100

x=425733.34

At the end of day 1, a bacteria culture has a population of 5,252 bacteria. It is growing at a rate of 25% after each day
Is the population best modeled by a linear or an exponential function? Explain your answer

Answers

Exponential function, cause, the increment is incremented every day

I need help with this
Gsbevehehennsbsnacfwuwj

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The constant of proportionality is the ratio of y-values to corresponding x-values. We see that the y-value is 8 (at the top of the graph) when the corresponding x-value is 2.

  k = 8/2 = 4

The constant of proportionality is 4.

What is the median of this data set?

{13, 8, 12, 8, 12, 3}

Enter your answer in the box.

Answers

{13, 8, 12, 8, 12, 3}

3, 8, 8, 12, 12, 13

median — (8 + 12) : 2 = 20 : 2 = 10

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

[tex]\large\text{The word \underline{median} means the number in the CENTER (the \bf middle}\\\large\text{number).}\\\\\\\large\text{To find your median you have to put your numbers from least}\\\large\text{(smallest) to greatest (biggest).}[/tex]

[tex]\large\text{Your data slot: \textsf{13, 8, 12, 8, 12, \& 3}}[/tex]

[tex]\large\text{Conversion: \textsf{3, 8, 8, 12, 12, \& 13}}[/tex]

[tex]\large\text{Finding your result: }\large\boxed{\rm{\dfrac{8+12}{2}}}\\\\\large\boxed{= \rm{\dfrac{20}{2}}}\\\\\\\large\boxed{= \rm{\dfrac{20\div2}{2\div2}}}\\\\\\\large\boxed{\rm{= \dfrac{10}{1}}}\\\\\\\large\boxed{= 10\div 1}\\\\\\\large\boxed{\rm{= 10}}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{10}}}\huge\checkmark[/tex]

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

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

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