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
Musya8 [376]
3 years ago
14

There is an average of 22.455 employees at 22 office furniture dealers in a major metropolitan area, with a standard deviation o

f 18.52. Construct a 99 percent confidence interval for the true mean number of full-time employees at office furniture dealers.
Mathematics
2 answers:
valina [46]3 years ago
4 0

Answer:

The 99 percent confidence interval for the true mean number of full-time employees at office furniture dealers is (12.288, 32.622).

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 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.

M = 2.575*\frac{18.52}{\sqrt{22}} = 10.167

The lower end of the interval is the mean subtracted by M. So it is 22.455 - 10.167 = 12.288

The upper end of the interval is the mean added to M. So it is 22.455 + 10.167 = 32.622

The 99 percent confidence interval for the true mean number of full-time employees at office furniture dealers is (12.288, 32.622).

V125BC [204]3 years ago
4 0

Answer:

99 percent confidence interval for the true mean is [11.28 , 33.63] .

Step-by-step explanation:

We are given that there is an average of 22.455 employees at 22 office furniture dealers in a major metropolitan area, with a standard deviation of 18.52.

The Pivotal quantity for 99% confidence interval is given by;

             \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }  ~  t_n_-_1

where, X bar = sample mean = 22.455

                s  = sample standard deviation = 18.52

                 n = sample size = 22

So, 99% confidence interval for the true mean number of full-time employees at office furniture dealers, \mu is given by;

P(-2.831 < t_2_1 < 2.831) = 0.99

P(-2.831 < \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } } < 2.831) = 0.99

P(-2.831 * {\frac{s}{\sqrt{n} } < {Xbar - \mu} < 2.831 * {\frac{s}{\sqrt{n} } ) = 0.99

P(X bar - 2.831 * {\frac{s}{\sqrt{n} } < \mu < X bar + 2.831 * {\frac{s}{\sqrt{n} } ) = 0.99

99% confidence interval for \mu = [ X bar - 2.831 * {\frac{s}{\sqrt{n} } , X bar + 2.831 * {\frac{s}{\sqrt{n} } ]

                                           = [ 22.455 - 2.831 * {\frac{18.52}{\sqrt{22} } , 22.455 + 2.831 * {\frac{18.52}{\sqrt{22} } ]

                                            = [11.28 , 33.63]

Therefore, 99 percent confidence interval for the true mean number of full-time employees at office furniture dealers is [11.28 , 33.63] .

You might be interested in
HELP ME OUT PLEASE<br><br>Do they have the same slope? Why or why not?​
mamaluj [8]
Yes, they are the same slope because the line is straight so it has no edges.

I think

But this is my work and i explained it

HOPE THIS HELP YOU!!!

;)
3 0
2 years ago
23 points to whoever can answer this question !!
yKpoI14uk [10]

I do believe that that point is -2.2 because of the fact that the difference between -1.6 and -2.4 is 0.8, and there are 4 marks in between them. So each mark's value is decreased by -0.2.

5 0
3 years ago
Read 2 more answers
A.) 10<br> B.) 25<br> C.) 20<br> D.) 15
Sergio [31]
2x+4=10
2x=6
x=3
2(3)+4= 10
(plus, on parallelograms like that, parallel sides are equal to each other)
7 0
3 years ago
Find the geometric mean of 2 and 3
Sav [38]
The first step in solving this problem is taking 2 and 3 and multiplying them (2 * 3 = 6) .
Now, for the second step, we will cube it. Since there are 2 numbers, we are going to use the 2nd root (2sqrt(6)) This will give us: 4.89897948557 or 5 if you would round it. This would be the Geometric Mean.
7 0
3 years ago
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number? wr
dimaraw [331]
Xy is the number

A) x + y = 7
B) 10y + x = 10x + y + 9
collecting terms of equation B
B) -9x + 9y = 9
multiplying A) by 9
A) 9x + 9y = 63  then adding it to equation B)
B) -9x + 9y = 9
18y = 72
y = 4
x = 3

The number is 34


4 0
3 years ago
Other questions:
  • 50 points!!!! Easy two part multiple choice question, will mark brainliest
    11·2 answers
  • How long is the arc intersected by a 2pi/3 radian central angle in a circle with radius 7 feet?
    11·2 answers
  • C=.41+.26(z-1) solve for z
    15·1 answer
  • The answer to 8-n=-4n
    8·2 answers
  • Tayler claims that when a linear equation is written in general form, Ax + By+ C = 0, the
    11·1 answer
  • Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of
    15·1 answer
  • -2= 5x+ 3? what is the answer help
    8·2 answers
  • Am really bad at math please answer
    7·2 answers
  • Simita has 25 coins, consisting of 10c and 5c, which total $2.25. how many of each does she have?​
    8·1 answer
  • Maxden wanted to measure the length of the objects below.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!