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
Natasha_Volkova [10]
3 years ago
15

The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (2008 data). The average c

ost per person for crashes in the Tampa, Florida, area was reported to be $1599. Suppose this average cost was based on a sample of 100 persons who had been involved in car crashes and that the population standard deviation is σ=$500. What the sample size would you recommend if the study required a 98% confidence level and a margin of error of $120 or less?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma= 500 represent the population standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The confidence2 level is 98% or 0.98 then the significance level would be \alpha=1-0.98=0.02 and \alpha/2=0.01, the critical value for this case would be z_{\alpha/2}=2.326, replacing into formula (b) we got:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

You might be interested in
Find the equation of the line. Use exact numbers. y= ( )x + ( )
Rama09 [41]

Answer:

y=-2x+5

Step-by-step explanation:

Use the equation y=mx+b

We can find the b(y-intercept) by looking at the graph

The graph crosses the y-axis at (0,5)

We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.

Plug that into the equation y=mx+b

y=-2x+5

6 0
3 years ago
Heyy some help me with this question
lara31 [8.8K]

Answer:

1400 students

Step-by-step explanation:

J=(300×5)-100

3 0
2 years ago
What is the equation of the line perpendicular to y=1/2x+6 that passes through points 4,1
blagie [28]
The answer is y=-2x+9 :)
5 0
3 years ago
Carmen is making gift boxes for her friends. It takes her 10 minutes to pack a 4-pound treat box, and it takes her 15 minutes to
Darya [45]

Answer:

(5.2) for sure

Step-by-step explanation:

4 0
3 years ago
Nash has completed 215 meters of the 400 meters running track. how many more meters was Nash run to finish running around the tr
Anastaziya [24]
185 m is the correct answer I think
5 0
3 years ago
Other questions:
  • Write a rule describing the translation bellow
    7·1 answer
  • X + y is rational, must x and y each be rational
    15·2 answers
  • How can you use the prime factorization of the powers of ten to find the prime factorization of 270,000?
    9·1 answer
  • Bill has $270.61 in his account before making any transactions. Over the course of a week, Bill makes the following transactions
    6·2 answers
  • The diagonals of a rectangle are_______and they______each other
    6·1 answer
  • A group of girls decided to go on a trip and the organizer said that the bus would cost 360$ to rent. The organizer also told th
    7·1 answer
  • Solve m - 13 equals 8
    9·2 answers
  • How many ways can you make a 3 letter arrangements out of the letters in the word trapezoid
    15·1 answer
  • Graph the function g(x) = -3 / (x²- 4) . What is the domain of g(x)? Explain your reasoning. Do not completely trust calculator
    13·1 answer
  • What is the length of the missing leg? If necessary, round to the nearest tenth.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!