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
kotykmax [81]
3 years ago
11

From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.

69 with a population standard deviation of 3.23. What is the 95% confidence interval for the amount of time spent on administrative issues?
Mathematics
1 answer:
zzz [600]3 years ago
7 0

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

\sigma=3.23

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}

=21.69\pm (1.96)\dfrac{1.7}{7.61577}

=21.69\pm (1.96)(0.223221)

\approx21.69\pm0.83

=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

You might be interested in
Need help with this question.
4vir4ik [10]
I MISS THE RAGEI MISS THE RAGEI MISS THE RAGEI MISS THE RAGEI MISS THE RAGEI MISS THE RAGEI MISS THE RAGE
5 0
2 years ago
Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
Assume that y varies inversely with x. if y=7 when x=-2, find y when x=7
melisa1 [442]

Answer:

y=-2

Step-by-step explanation:

The formula for inverse variation is

xy =k

if y=7 when x=-2, we can substitute these numbers in to find k

(-2)(7) =k

-14 =k

The equation becomes

xy = -14

Let x =7

7y = -14

Divide each side by 7

7y/7 = -14/7

y = -2

8 0
3 years ago
I need help asap
GenaCL600 [577]

pato apni sa pato bata is sa dak na sa kuch bi nahi mila ga

5 0
3 years ago
Read 2 more answers
!please help me:( i will give u BRAINLYEST!! Please just help me!!
Oduvanchick [21]

Answer:

Mathematically speaking, both of these are what are called measures. They are ways of getting at the size of something.

The circumference of a circle is a line, which is one-dimensional, which means it has length but zero width. The area of a circle, in contrast, is two-dimensional. This is the essential difference.

The consequence of this is that circumference is measured in units like centrimetres, or inches, or miles. But area is measured in units like square-centimetres, square inches, or square miles.

Is this what you meant?

6 0
2 years ago
Read 2 more answers
Other questions:
  • In this figure, AB || CD and m/1 = 110*. A / What is m/5? 5/6 8/ 7 D Enter your answer in the box.​
    13·1 answer
  • The expression (m^2/m^1/3)^1/2 is equivalent to
    13·1 answer
  • Solve the equation. z/32 + 5/8 =13/16<br><br> True Or false, And why?
    14·2 answers
  • al made a treehouse last summer. He started by making a model. the model included a window with height 1/3 inch. and width 1/6 i
    5·1 answer
  • Edward bought 2 Xbox games and 3 Playstation games for $210. Let x represent the Xbox games and y represent the Playstation game
    8·1 answer
  • This photo is the problem I have to solve for x help please
    13·2 answers
  • Find the sum. 376 249 238 + 492​
    7·1 answer
  • Based on the article, which of the following is MOST important to all economic systems?
    6·1 answer
  • Antonio uses a calculator to find 38 minus StartFraction 44 minus 16 over 4 EndFraction and gets a result of –10. Which statemen
    6·2 answers
  • 3t – 2(t – 1) ≥ 5t – 4(2 + t) please help ill give the crown thingy to the first person who gives me an answer
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!