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
posledela
3 years ago
13

A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From

past research, it is known that the standard deviation of such claims amounts to $124.88.(a) What is the critical value that corresponds to the given level of confidence? Round to two decimals and remember that critical values are defined to be positive.(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?
Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer:

a) z = 1.645

b) The should sample at least 293 small claims.

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{1-0.9}{2} = 0.05

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 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is z = 1.645.

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.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

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

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

You might be interested in
-x + 1/2 = x + 41/2<br> *PLEASE SHOW WORK*
ollegr [7]
  -x + 1/2 = x + 4 1/2
  +x           +x
         1/2 = 2x + 4 1/2
       -4 1/2       - 4 1/2
        -4 = 2x
         x = -2
6 0
3 years ago
Cual es el equivalente de 3/5​
IrinaK [193]

Answer:

El equivalente es

0.6

5 0
3 years ago
Read 2 more answers
1. What is the solution to the system of equations?
inysia [295]
<span> Use the substitution method to justify that the given system of equations has no solution.</span>
4 0
3 years ago
Read 2 more answers
Give me ans please......……………………​
jeka57 [31]

hope it helps

it says I can't send if it has less than 20 characters why?

7 0
3 years ago
Would anyone like to solve this problem for me?
dalvyx [7]
The answer would be 24 pints
7 0
3 years ago
Other questions:
  • A small city has three automobile dealerships: a GM dealer selling Chevrolets and Buicks; a Ford dealer selling Fords and Lincol
    11·1 answer
  • PLEASE HELP
    13·1 answer
  • An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr
    12·1 answer
  • The equation y = 13x describes the amount of money Sarah earns, where x is the number of hours she works
    8·1 answer
  • If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found
    15·1 answer
  • A certain dataset of systolic blood pressure measurements has a mean of 80 and a standard deviation of 3. Assuming the distribut
    8·1 answer
  • What is an equation of the line that passes through points (-2, -3) and (-1, 2)
    13·1 answer
  • PLEASE HELP!!!!!!!
    9·2 answers
  • What is the sum of -3^2-7x+9and -5^2+6x-4
    8·1 answer
  • What is 0 divided by 0
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!