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
Vlada [557]
2 years ago
14

Suppose a study estimated the population mean for a variable of interest using a ​% confidence interval. If the width of the est

imated 99%confidence interval​ (the difference between the upper limit and the lower​ limit) is and the sample size used in estimating the mean is ​, what is the population standard​ deviation? The population standard deviation is nothing.
Mathematics
1 answer:
Usimov [2.4K]2 years ago
6 0

Complete Question

suppose a study estimated the population mean for a variable of interest using a 99% confidence interval. If the width of the estimated confidence interval( the difference between the upper limit and the lower limit) is 600 and the sample size used in estimating the mean is 1000, what is the population standard deviation?

Answer:

The  value is  \sigma  =  3677

Step-by-step explanation:

From the question we are told that

   The width of the 99% confidence interval is  w =  600

    The sample size is  n  =  1000

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  2.58

Generally the margin of error is mathematically evaluated as

         E = \frac{w}{2}

=>      E = \frac{600}{2}

=>      E = 300

Generally this margin of error can be mathematically represented as

       E = Z_{\frac{\alpha }{2} }  *  \frac{\sigma}{\sqrt{n} }

=>    300 =  2.58   *  \frac{\sigma}{\sqrt{1000} }

=>   \sigma  =  3677

You might be interested in
If a set of data has mean 60 and variance 9 then it's coefficient of variation is
loris [4]
Coefficient of variation is calculated by dividing the standard deviation by the mean multiplied by 100. Given a data set with mean equal to 60 and variance equal to 9, we can calculate the coefficient of variation by finding the value of the standard deviation which is the square root of the variance. so standard deviation is equal to square root of 9 which is 3. Then, the coefficient of variation is equal to 3/60*100 which is equal to 5%.
4 0
3 years ago
Read 2 more answers
Please help me please thank you
AleksandrR [38]

Answer:

x = 15

Step-by-step explanation:

angles 2 and 4 are supplementary so they add up to 180

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 90

x = 15

7 0
3 years ago
Read 2 more answers
Please I need help it's really hard
Vitek1552 [10]
I'd say angle A = angle B
arc tangent (angle B) = 150 / 555
<span><span><span>arc tangent (angle B) = 0.2702702703 </span>
angle B = 15.124 degrees

By the way 555 feet is the height of the Washington Monument.
</span> </span>
3 0
3 years ago
HARDEST QUESTION EVER OMG! (That was my stereotypical teenage girl impression) ;)
ruslelena [56]
X = -4y+3
-x-4y = -3

________________

x+4y = 3
-x-4y = -3

0 = 0 

Possible and determined system (single solution)
5 0
3 years ago
The points (-2, 6) and (2, r) lie on a line with slope 3. Find the missing coordinate r.
sashaice [31]
ANSWER: r=18

EXPLANATION:

6 0
2 years ago
Other questions:
  • GCF of -15y^3 + 45y^2
    11·2 answers
  • In the triangle below, determine the measure of angle C
    8·1 answer
  • Find the greatest common monomial factor : 4a^5b^2 and ab
    14·1 answer
  • Solve for y 7x-6y=19
    11·1 answer
  • Use the diagram of the right triangle above and round your answer to the nearest hundredth.
    14·2 answers
  • 3x+4y=12 solve for y show work
    14·1 answer
  • If you are answering the questions:Evaluate the expressions and dont do #16
    14·1 answer
  • A hardware store has 147 containers of paint. If each container holds 5 gallons of paint, how many gallons of paint are at the s
    15·1 answer
  • Good Morning!! Help me ASAP please
    12·2 answers
  • There are 221 students on a field trip.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!