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
*insert chuck and his preggo sister with the gooey stuff coming out of her while the ded baby slides out*
Pavel [41]

Answer:

umm 11

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
3400 dollars is placed in an account with an annual interest rate of 7-5%. How much
miss Akunina [59]

Answer:

$11,625.80

Step-by-step explanation:

The equation is 3400(1.075)^17

4 0
3 years ago
Read 2 more answers
Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi
Shkiper50 [21]

Answer:

8.00

Step-by-step explanation:

its all about moving over the decimal

8 0
3 years ago
What is the measure of each exterior angle of a regular polygon with 12 sides?
Vadim26 [7]
A polygon<span> has as many interior </span>angles<span> as sides. An equilateral triangle has three equal 60 </span>degree angles<span>. The </span>sum<span> of the </span>angles<span> of this and any triangle is </span>180 degrees<span>.The </span>sum<span> of the four interior </span>angles<span> of a square is 360 </span>degrees<span>, which is the same for any quadrilateral.</span>
8 0
3 years ago
Find the missing side. Round to the nearest tenth.
Firdavs [7]

Answer: <em>23.7</em>

Step-by-step explanation:

<em>Let's calculate the acute angle at the base of the triangle:</em>

<em>180° - 90° - 40° = 50°</em>

<em>Find side x:</em>

\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7

5 0
2 years ago
Other questions:
  • Does a rotation of 180 degrees preserves a figure's orientation?
    12·1 answer
  • If c is a 5 x 1 matrix and dis a 3 x 5 matrix, what are the dimensions of dc
    13·1 answer
  • How can you used the distributive property to help find a product
    5·1 answer
  • What is the line ab and the o called?
    7·1 answer
  • Answer two questions about Equations AAA and BBB: \begin{aligned} A.&amp;&amp;3(x+2)&amp;=18 \\\\ B.&amp;&amp;x+2&amp;=6 \end{al
    11·2 answers
  • 3 5/6+5 2/3=?........help
    10·2 answers
  • Como simplifica essa expressão: 2*(x+5)+3*(5x+6):​
    14·1 answer
  • Name the corresponding angle or side. a, b, c, or D
    8·1 answer
  • What is the solution to this system of equations?<br> x+y= 6<br> x=y+4
    8·2 answers
  • PLSSSSSSSS HELLLLPPPPP<br> ITS DUE IN 5 min
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!