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
Travka [436]
3 years ago
13

Travel time data is collected on an arterial. With 30 runs, an average travel time of 152 seconds is computed over the 2.0 miles

length, with a computed standard deviation of 17.3 seconds.
Required:
a. Compute 95% confidence bounds on your estimate of the mean.
b. Was it necessary to make any assumption about the shape of the travel-time distribution?
Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

a

 The 95% confidence bounds is  145.80 <  \mu <   158.19

b

It was not necessary to make any assumption about the shape of the travel  time distribution

Step-by-step explanation:

From the question we are told that

 The sample size is  n =  30  

  The sample mean  is  \=x = 152

   The standard deviation is  \sigma =  17.3 \  second

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>    E =  1.96 *  \frac{17.3 }{\sqrt{30} }

=>     E = 6.19  

Generally 95% confidence bounds  is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>  152  -6.19 <  \mu <  152  -6.19

=> 145.80 <  \mu <   158.19

This 95% confidence bounds show that there is 95% confidence that the true mean lies within this bound hence there is it was not necessary to make any assumption about the shape of the travel  time distribution

You might be interested in
The average of 6 ages men is 35 years and the average of four of them is 32. Find the ages of the remaining two men if one is 3
prisoha [69]

Answer:

the first one must be 39.5 and the other 42.5

Step-by-step explanation:

multiply 35 by 6 and subtract 32 x 4 you are left with 82. Divide that by 2 and make the difference 3.

6 0
3 years ago
A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. What is the probability that
mafiozo [28]

Answer:

1/5

Step-by-step explanation:

Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.

Given the samples 0,1,3,4,7

Total number of samples is 5

The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.

5C2 = 5!/(5-2)!2!

= 5!/3!2!

= 5×4×3!/3!×2

= 10ways

The total outcome is therefore 10

To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice

The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4

The expected outcome is therefore 2

the probability that the range of the sample is 4 = expected outcome/total outcome

= 2/10

= 1/5

7 0
3 years ago
0.03, 0.031, 0.1, 0.013 smallest to largest
vitfil [10]

Answer:

0.013

0.031

0.03

0.1

I hope my answer's correct.

3 0
3 years ago
How many solutions are there for quadratic graphed below:
masha68 [24]

Answer:

No solutions

Step-by-step explanation:

The graph does not contact the x axis

There are no real answers for this reason.

6 0
3 years ago
You need to buy 5 notebooks for your classes at school.Each notebook costs $2.79. What is the total cost before tax?
lesya692 [45]

Answer:

$13.95

Step-by-step explanation:

You need to multiply the 5 notebooks with the costs of each notebook, which gives you the total costs before tax.

7 0
3 years ago
Other questions:
  • How many are 4 raised to 5 ???​
    9·1 answer
  • Solve x+2=1/2x-1 Please hurry!
    7·1 answer
  • 18 is 45% of what number? ____<br> Please help me I can't solve this
    7·1 answer
  • I need help ASAP ? Does anyone know the answer?
    13·1 answer
  • what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fract
    6·2 answers
  • If the following ratios are proportional, what is the missing quantity? 10.2/3 ; 17/5; _____/11; 57.8/17
    12·1 answer
  • Charlie makes a batch of 90 cookies and divides it into smaller batches. If there is 1/3 cup of flour in each small batch, how m
    9·1 answer
  • · Check Your Understandin
    8·1 answer
  • What is the solution to the inequality 7x + 2 &lt; -3x + 1?
    13·1 answer
  • Aft<br> 10 ft<br> 3 ft<br> 2 ft<br> 6 ft<br> Surface Area =<br> Surfa<br> I need the surface area
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!