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
MissTica
2 years ago
8

There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard d

eviation was 1. 6. The margin of error, assuming a 95% confidence level, is approximately. Round to the nearest hundredth.
Mathematics
1 answer:
NeTakaya2 years ago
5 0

The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

<h3>What is the margin of error?</h3>

The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}

\text{MOE} = margin of error

\gamma = confidence level

z_{\gamma} = quantile

σ = standard deviation

n = sample size

As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.

We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742

Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

Learn more about Margin of Error:

brainly.com/question/6979326

You might be interested in
A students work to solve 2 6/7 / 2/7 is shown below.
Alexus [3.1K]
A) the only mistake is changing the mixed number to an improper fraction . 
6 0
3 years ago
Read 2 more answers
72 is the product of Mai's height and 6.<br> 
7nadin3 [17]

Answer:

12

Step-by-step explanation:

72/6 = 12

Or 72= h*6

Be sure to mark me brainliest!

3 0
3 years ago
Read 2 more answers
Hi, can I get some help with this question? DON'T WORRY ITS JUST A ASSIGNMENT. NOT A TEST. Thank you
Alchen [17]

Answer:

d.

Step-by-step explanation:

i looked at the graph!

3 0
3 years ago
How do I solve this math problem?
nikitadnepr [17]
1,088 if you set it up as a proportion. It would be 17/20 compared to x/1280 multiply 17 by 1280 and then divide by 20.
3 0
3 years ago
??????????????????FAST HELP PLZ
Irina18 [472]

Answer:

y =  \frac{2}{3} x - 2 \\

8 0
3 years ago
Other questions:
  • Need help solving please.​
    15·1 answer
  • If a cake is cut into thirds and each third is cut into fourths, how many pieces of cake are there?
    15·1 answer
  • Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of six ​students, find the probabi
    12·1 answer
  • Lina wanted to buy a bag. She saw a red bag on sale at 15% discount and a blue bag at 20% discount. Both bags had the same origi
    9·1 answer
  • Flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 13 feet mor
    13·1 answer
  • Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→1 1 − x + l
    12·1 answer
  • An old railroad car was able to haul one days worth of coal in 15 hours the new railroad car only takes 10 hours because of high
    7·1 answer
  • MARKING BRAINLEIST IF CORRECT AND QUICK
    9·2 answers
  • Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8
    15·1 answer
  • Help me pls! (Dot plots) Answer F G H. (Median and range)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!