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
Vsevolod [243]
2 years ago
7

A counselor at a large high school wants to estimate the mean amount of sleep μ that students got the previous night. She select

s a random sample of 10 students and asks them to record the number of hours they slept last night. Based on this sample, the 95% confidence interval for the population mean amount of sleep for all students at the high school is (5.39, 7.81) hours. (a) Interpret the confidence interval. (b) What is the point estimate that was used to create the interval? What is the margin of error? (c) It is recommended that high school students get 8 hours or more of sleep each night. Based on this survey, the students claim that, on average, students at this high school are not getting the recommended amount of sleep. Use the confidence interval to evaluate this claim.
Mathematics
1 answer:
Alinara [238K]2 years ago
7 0

According to the given confidence interval, we have that:

a) It means that we are 95% sure that the population mean amount of sleep for all students at the high school is between 5.39 and 7.81 hours.

b) The point estimate is of 6.6 hours, with a margin of error of 1.21 hours.

c) Since the entire confidence interval is below 8 hours, it is found that there is enough evidence to conclude that the students at this high school are not getting the recommended amount of sleep.

<h3>What is the interpretation of a x% confidence interval?</h3>

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

Additionally, from an interval (a,b), we have that:

  • The point estimate is \frac{a + b}{2}.
  • The margin of error is of \frac{b - a}{2}.

Item a:

It means that we are 95% sure that the population mean amount of sleep for all students at the high school is between 5.39 and 7.81 hours.

Item b:

The <em>point estimate</em> is:

\frac{5.39 + 7.81}{2} = 6.6

The <em>margin of error</em> is:

\frac{7.81 - 5.39}{2} = 1.21

The point estimate is of 6.6 hours, with a margin of error of 1.21 hours.

Item c:

Since the entire confidence interval is below 8 hours, it is found that there is enough evidence to conclude that the students at this high school are not getting the recommended amount of sleep.

More can be learned about confidence intervals at brainly.com/question/25779324

You might be interested in
PLZ HURRY IT'S URGENT!!!!!!!!!!
ICE Princess25 [194]

\:  \:  \:  \frac{9}{12} \\  =   \frac{3 \times 3}{3 \times 4} \\  =  \frac{3}{4} \\  =  \frac{3}{4} \times 1 \\  =  \frac{3}{4} \times  \frac{2}{2} \\  =  \frac{6}{8} =  \frac{3}{4}.

So, Option C is the correct answer.

Hope this will help you. 

If you like my answer. Please mark it as brainliest  And  Be my follower if possible.

8 0
3 years ago
Read 2 more answers
Determine the intercepts of the line y= -2x - 21
soldier1979 [14.2K]

Answer:

what's there to intercept its 1 line

5 0
3 years ago
In one school day activity, ¾ of 24 girls wore a mini skirt for their presentation. How many girls wore mini skirt? (Use AGONSA.
yKpoI14uk [10]

Answer:

18

Step-by-step explanation24/0.75 is 18

6 0
3 years ago
Read 2 more answers
Mr Conover bought 6 boxes of Patel for his art class. He paid $4.50 for each box. What was the total cost of the box
slava [35]
4.50×6=27.00. the total cost of the box will be $27.00
3 0
3 years ago
I really need this . Someone please help . Is it abc or d
prisoha [69]

Answer:

B

Step-by-step explanation:

lets start off by looking at point A (1,1)

4 units to the right is along the x-axis, so the x-coordinate would be 5 (1 + 4)

2 units up is on the y-axis, so the y-coordinate would be 3 (1 + 2)

A is now (5,3). we can eliminate choices A, C, and D as they each have negative numbers in them, and we are moving in the positive direction, not the negative.

the answer is B

7 0
3 years ago
Other questions:
  • Instructions:Type the correct answer in the box.
    14·2 answers
  • Questions 32 help plz with explanation. 15 points!!
    12·1 answer
  • WILL GIVE THE BRAINLEST <br>Find the surface area of the triangular prism​
    9·1 answer
  • Berjabat tangan =66​
    10·1 answer
  • Please HELP!!! What is the justification for the step taken from line 2 to line 3?
    14·2 answers
  • Miguel earns 2,456.75 every month he also earns an extra 4.75 every time he sells a new gym membership last month Miguel sold 32
    12·1 answer
  • A.10D Simplify the expression<br> (x - 3)2
    12·2 answers
  • Kathy uses 8.6 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is
    10·2 answers
  • What is the measure of minor arc eg ? 17° 75° 149° 211°
    12·2 answers
  • 2/3 question. all who answer get respect. even if inncorrect
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!