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?

Answers

Answer 1

Answer:

a

 The 95% confidence bounds is  [tex] 145.80 <  \mu <   158.19 [/tex]

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  [tex]\=x = 152[/tex]

   The standard deviation is  [tex]\sigma = 17.3 \ second[/tex]

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

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

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

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E =  1.96 *  \frac{17.3 }{\sqrt{30} }[/tex]

=>     [tex]E = 6.19  [/tex]  

Generally 95% confidence bounds  is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]152  -6.19 <  \mu <  152  -6.19[/tex]

=> [tex] 145.80 <  \mu <   158.19 [/tex]

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


Related Questions

Martha earns $24 in four hours. How much would she
earn in 10 hours?

Answers

Answer:

$60

Step-by-step explanation:

24/4=6

6*10=60

Answer:

$60

Step-by-step explanation:

24 ÷ 4 = 6

6 × 10 = 24

she makes $6 an hour. $60 in ten hours.

2. What is the difference?
Complete the subtraction sentence.
5-5=

Answers

Answer:

0

Step-by-step explanation:

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]


Compute the probability that a randomly selected peanut M&M is not yellow.


Compute the probability that a randomly selected peanut M&M is brown or red.


Compute the probability that three randomly selected peanut M&M’s are all brown.


If you randomly select three peanut M&M’s, compute that probability that none of them are blue.


If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)

Answers

The answer is (-2,1)

Question 1

1 pts

A high school gym teacher records how much time each student requires to complete a one-mile run.

This

is an example of measuring a continuous variable.

Answers

Answer:

True : It is an example of a continuous variable

Step-by-step explanation:

Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.

Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.

On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.

point Q was rotated about the origin (0,0) by 180

Answers

Answer:B

Step-by-step explanation:

The coordinates of the image of the rotation of the point Q is:

Q' = (4, 2)

What is the image of the rotation?

We can see that the original coordinates of point Q are (-4, 0).

If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.

It only changes the sign of the x-component.

Then the image of the rotation is:

Q' = (4, 0)

If you want to learn more about rotations:

https://brainly.com/question/4289712

#SPJ2

what is the rectangular prism of 2 units and 7 1/3

Answers

Answer:

it could be 14 2/6 units squared

Step-by-step explanation:

idkI don’t know but for area is units squared and for volume it has units cubed

Write 45%of m as an expression

Answers

Answer:

nh

Step-by-step explanation:

(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …

Answers

Answer:

A

Step-by-step explanation:

is there a need for explanation

write an equivalent fraction of 4/5 with the denominater 25​

Answers

Answer:

20/25

Step-by-step explanation:

to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25

The correct answer would be 20/25

7) Order the numbers from least to greatest.
A. 6.66
B. 6.07
C. 7
D. 6.32

Answers

the Answear is B,D,A,C

Which coordinate pair is a solution of the linear
equation below?
-X + 3y = 21
Click on the correct answer.
(3,-8)
(-3,8)
(3,8)

Answers

Answer:

slope is 4/3 and y intercept is -7

Step-by-step explanation:

3y+21=4x.........now subtract 21 from each side

3y=4x-21......now divide all terms by 3

y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7

Answer:

B (-3,8)

Step-by-step explanation:

awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21

awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.

Best apologies if incorrect

2x + 7 = 13
Please help

Answers

Answer:

x=3

Step-by-step explanation:

Hope this helps u..

A dentist sees a patient every 20 minutes. He works an average of 60 hours per week. How many patients does he see in a year. He takes 3 weeks vacation. Round your answer down.

Answers

Answer:

1040

Step-by-step explanation:

ms.khan ask her math students to find an equation of a line which has a graph parallel to line y=-2x+1 and which passes through the point (4,-2) n

2x+y=0

2x+y=6

x-2y=-10

x-2y=8

Answers

Answer:

y=-2x+b

-2=-8+b

6=b

y=-2x+6

so

2x+y=6

A math class consists of 26 students, 14 women, 10 men, and 2 non-binary. Two students are selected at random to participate in a probability experiment. Compute the probability that:

Answers

Answer:

there's a higher probability for females

Which point represents the opposite of –2?

A number line going from negative 5 to positive 5. Point A is at negative 2, point B is between negative 1 and 0, point C is between 0 and 1, and point D is at 2.
A
B
C
D

Answers

Answer:

Point D

Point D is at 2, the absolute value of -2.

2 is the opposite of -2, and D is at 2.

So, the answer must be option D.

Hope this helps!

Answer:

d

Step-by-step explanation:

HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW


Answers

Answer:

32ed

Step-by-step explanation:

Who can help me with 9th grade math and got zoom?

Answers

Answer:

Me, I'm in 12th grade so sure. ^‿^

Step-by-step explanation:

Convert 2 days into months. Round your answer to the nearest hundredth.

Answers

Answer:

0.0657534

Step-by-step explanation:

divide 2 by 30.417

How do you find the slope-intercept form from two points?

Answers

Answer:

Rise over run.

Step-by-step explanation:

If you have learned rise over run you will get it.

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.

Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?

Answers

Step-by-step explanation:

Let the initial population of a community be P0 and the population after time t is P(t).

If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:

[tex]P(t) = P_0e^{kt}[/tex]

at t = 5 years, P(t) = 2P0

substitute:

[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]

If the population is 9,000 after 3 years

at t = 3, P(t) = 9000

a) Substitute into the formula to get P0

[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]

Hence the initial population is approximately 5938.

b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:

[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]

Hence the population of the community after 10 years is approximately 23,746

3. Determine if the graph below is a function.
Explain your reasoning.

Answers

Answer:

A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

Step-by-step explanation:

Plz help i only need c im confused lol 6th grade history

Answers

Answer:

War

Step-by-step explanation:

Criminals

what are the steps we should follow to solve and equation

Answers

PEMDAS is what you could possibly use

Round 24.9652 to
1 decimal Place​

Answers

Answer:

2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.

Does anyone stan Twice??​

Answers

Meeeeeeeeeeeeeee I doooo

Answer:

This is literally me.

Step-by-step explanation:

a pizzeria had 4 cans of tomato sauce how many pizzas could they make with the cans if each pizza took one fourth of a can​

Answers

Answer:

16 pizzas.

Step-by-step explanation:

That is 4 divided by 1/4

= 4 * 4/1

= 16.

Answer:

16

Step-by-step explanation:

There are 4 pizzas per can and you have 4 cans.

4 x 4 = 16

If a polygon is a pentagon, then it has 5 sides hypothesis conclusion

Answers

Answer:

Hypothesis

 

Step-by-step explanation:

 a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.

hope this helps

Which of the following is equal to the opposite of −45?

−|45|
−|−45|
−(−45)
−45








Which of the following statements does not represent the same value as the others?

the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9











All of the following are true statements except _____.

|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93













If you move from zero to 15 on the number line, you are representing all of the following except _____.

the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15














All of the following expressions are equal to N except _____.

−(− N )
− N
| N |
|− N |

Answers

Answer:

The first one

Step-by-step explanation:

1. -(-45)
2. “The opposite of 9”
3. -93
4. “ the opposite of 15”
5. -N
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