1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gala2k [10]
3 years ago
7

Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She

selects a random sample from each group. The mean number of hours per week that people in southern states spent outside is 18.6, and the mean number of hours per week that people in northern states spent outside is 14.4. A 99 percent confidence interval to estimate the difference in population means (southern minus northern) is (0.4,8.0).
Which of the following statements about Hannah’s claim is supported by the interval?

a. Hannah is likely to be incorrect because the difference in the sample means was 18.6−14.4=4.218.6−14.4=4.2 hours.
b. Hannah is likely to be incorrect because 9 is not contained in the interval.
c. The probability that Hannah is correct is 0.99 because 9 is not contained in the interval.
d. The probability that Hannah is correct is 0.01 because 9 is not contained in the interval.
e. Hannah is likely to be correct because the difference in the sample means (18.6−14.4=4.2)(18.6−14.4=4.2) is contained in the interval.
Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

You might be interested in
In △PQR, find the measure of ∡P.
prisoha [69]
57.6² = 33.8² + QR²
QR² = 2.175,32
QR = 46.64

57.6/sen90º = 46.64/sen(P)
sen(P) = 46.64*sen90º/57.6
sen(P) = 0.809
angle P is sen^-1 = 54.06º ≈ 54.1º

8 0
3 years ago
Read 2 more answers
Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool
Dmitriy789 [7]

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

8 0
3 years ago
CAN SOMEONE HELP ME PLZ NO LINKS
Vesnalui [34]

Answer:

length = 2w - 3

l = length

w = width

2(length) + 2(width) = perimeter

2(2w - 3) + 2(w) = 60

6w -6 =60

w = 11

len = 2(11) - 3

Step-by-step explanation:

3 0
3 years ago
Which of the following best states the author's purpose?
Anastasy [175]
The answer is the second one
5 0
3 years ago
Domain and range of the inequality y<√x+3 +1
Margaret [11]

The domain of the given inequality is y>1.

<h3>What is Inequality?</h3>

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here, given inequality:

              y < \sqrt{x+3}+1

Related equation:

             y = \sqrt{x+3}+1

The equation defined as,

    x+3 > 0

    x > -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

    \sqrt{x+3} \geq 0

adding 1 on both sides, we get

  \sqrt{x+3} + 1 \geq  1

      y ≥ 1

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

Thus, the domain of the given inequality is y>1.

Learn more about Inequality from:

brainly.com/question/20383699

#SPJ1

6 0
2 years ago
Other questions:
  • Mrs Larsen made 12 pillows from 16 yards of the same fabric. How much fabric was used to make each pillow? between what two whol
    10·1 answer
  • How much power is done when a 1 newton weighted object is raised a vertical distance of 1
    14·1 answer
  • What is 7+78/3=?<br> A.43<br> B.25<br> C.25.5<br> D.75
    6·1 answer
  • Which ordered pairs make both inequalities true? Check all that apply.
    14·2 answers
  • A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television rounded to the nearest ten
    12·1 answer
  • 1) 2x – y = 1
    15·1 answer
  • What is the value of x in the equation −3(10x − 12) + 15x = 54?
    12·1 answer
  • The graph shows the number of jump ropes produced in a toy factory over a period of 8 hours.
    15·1 answer
  • I need to pass so yk help​
    11·1 answer
  • F(x)=4x-3 find the inverse
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!