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
Verizon [17]
3 years ago
5

A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c

onfidence interval with an error of no more than 0.06. A consultant has informed them that a previous study found the mean to be 6.4 fast food meals per week and found the standard deviation to be 1.1. What is the minimum sample size required to create the specified confidence interval
Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.06, \sigma = 1.1

0.06 = 2.575*\frac{1.1}{\sqrt{n}}

0.06\sqrt{n} = 2.575*1.1

\sqrt{n} = \frac{2.575*1.1}{0.06}

(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}

n = 2228.6

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

You might be interested in
NEED HELP PLEASE!!! Explain the answer! Will give brainliest!
Mrac [35]
A= 8.55 X 10/-5 and B= 8.55 x 10/6
4 0
4 years ago
URGENTT!!!! help quick please
omeli [17]
The answer is going to be
X=20
7 0
3 years ago
6) Solve: 7 = x + 12 A) -19 B) -5 C) 4 D) 5
murzikaleks [220]

Answer: B) -5

Step-by-step explanation: all you do is subtract 12 from each side and you will get -5

7 0
4 years ago
Read 2 more answers
Max adds 7 to a number the. Múltiples the sum by -4 the result is 3 times the same number write and since an equation to find th
GrogVix [38]

Answer:

The number is -4.

Step-by-step explanation:

Let the number be n.

Given:

Max adds 7 to a number.

hence it is given as n+7

Multiply's the sum by -4 the result is 3 times the same number.

Hence the equation can be written as;

-4(n+7)=3n

Now Solving the above equation to find value of n we get;

-4(n+7)=3n\\-4n-28=3n\\-4n-3n=28\\-7n=28\\n=\frac{28}{7}=-4

The value of n is -4.

Now when we add 7 to number -4 we get answer as 3.

And when the sum is multiplied by -4 we get answer -12.

Also 3 times of number is equal to 3 multiplied by -4 we get answer as -12.

Hence when the sum is multiplied by -4  it is equal to 3 times of same number.

Hence from above we can say that the number is -4.

7 0
3 years ago
What the awnser is and how to work it out because my teacher didn't show me how to
taurus [48]
The most likely answer is B.
Highlighting the corresponding parts from the original in the copy is just coloring in the parts of the copy that have the same scale, for example, if the center of the scaled copy is one unit, the original could be 3 units.
7 0
3 years ago
Other questions:
  • if the weight of a package is multiplied by 5/8 the result is 15 lbs. find the weight of the package.
    9·1 answer
  • There are a total of 17 people in an application pool, that are equally qualified for a job. The pool consists of;
    9·1 answer
  • Suppose you invest $67 a month in an annuity that earns a 3.1% APR,
    14·2 answers
  • Can someone answer this question for me pleas?
    9·1 answer
  • Identify solutions to each inequality- pls someone help me
    13·1 answer
  • In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, w
    8·1 answer
  • Can someone help me with these 2. Will Mark brainliest. Need answer and work. Thanks.!
    5·1 answer
  • Measurement of missing angle?
    13·1 answer
  • Please help me graph this equation on DESMOS
    12·1 answer
  • A circle is divided into 10 equal parts what is the angle measure of four of those parts
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!