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
melomori [17]
3 years ago
14

4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep

air shop take per year. A previous study indicated thatthe standard deviation was2.2 days. a) How large a sample must be selected if thecompany wants to be 92% confident that the true mean differs from the sample mean by nomore than 1 day
Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0

Answer:

A sample of 18 is required.

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 - 0.92}{2} = 0.04

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.04 = 0.96, so Z = 1.88.

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.

A previous study indicated that the standard deviation was 2.2 days.

This means that \sigma = 2.2

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

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

1 = 1.88\frac{2.2}{\sqrt{n}}

\sqrt{n} = 1.88*2.2

(\sqrt{n})^2 = (1.88*2.2)^2

n = 17.1

Rounding up:

A sample of 18 is required.

You might be interested in
Se va a colocar una escalera que mide 5 metros (m) de longitud sobre una pared. El fabricante de la escalera recomienda que, por
ivolga24 [154]

Answer:

4.9 m

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de seno

sin θ = Opuesto / Hipotenusa

θ = 78 °

Hipotenusa = Longitud de la escalera = 5 m

Opuesto = Distancia sobre el suelo = x

sin 78 = x / 5m

Multiplicar cruzada

x = sin 78 × 5 m

x = 4.8907380037m

Aproximadamente

= 4.9 m

7 0
2 years ago
Find the length of side a. <br><br> A. 4 <br><br> B. 2<br><br> C. 34<br><br> D. 16
Dmitriy789 [7]

Answer:

Side A is 4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A bookshelf is 45 inches wide. How many 1 &amp; 1/2 inch wide books will fit on the bookshelf? *
andriy [413]

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

7 0
2 years ago
There are 467 sixth grade students at east side middle school. Each one needs 8 book covers. How many book covers are needed?
Rufina [12.5K]

Around 58 book covers

7 0
3 years ago
What is the slope of the line
vfiekz [6]

Answer: 3

You can find slope by using the 'rise over run' method. Find 2 clear points and count the number of units between those points, across the x axis and up the y axis. You should have 3/1 (y/x) as your slope.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Y=x^7 + 7<br> Domain and range
    14·1 answer
  • S=5r^2t solve for T please
    12·2 answers
  • Which statements about opposites are true?
    9·1 answer
  • A math club has 40 members. The number of girls is 5 less than 2 times the number of boys. How many members are boys? How many m
    5·1 answer
  • I will mark as brainliest but I need the answer for these 2 questions
    9·1 answer
  • Solve the quadratic equation for x. What is the largest solution to the equation?
    13·1 answer
  • I do not understand
    11·2 answers
  • 7/2x + 1/2x = 9 + 9/2x<br> the value of x is
    8·1 answer
  • Home Depot sells paint in 2 sizes. 1 gallon for $13.99 or 5 gallons for $67.45. Which has the cheaper unit rate: 1 gallon or 5 g
    9·1 answer
  • What two tens does 192 fall between?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!