g In an experiment, 37 randomly selected drivers drove from Pontiac to Detroit at random times. The travel time for these drivers was 39.0 minutes on average with a standard deviation of 4.8 minutes. Calculate and interpret a 99.9% confidence interval for the mean travel time for all possible drivers traveling from Pontiac to Detroit.

Answers

Answer 1

Answer:

CI  = ( 36,6  ;  41,4 )

Step-by-step explanation:

CI = 99,9  %       α = 0,1 %      α = 0,001

We find z scre for α = 0,001 in z -table

z(s) = - 3,08

CI =  μ₀  ±  MOE          where    μ₀  = 39 min  and   MOE = z(s) * σ/√n

CI = 39  ±   3,08 * 4,8 / √37

CI = 39  ±   2,4315

CI  = ( 36,6  ;  41,4 )


Related Questions

Millions of students take statistics each year! Researchers hoping to help professors teach better conducted a study in statistics classrooms. They had the same instructor teach three different classes, with randomly assigned students, with three different methods! Method A - traditional lectures, with homework outside of class. Method B - flipped classroom, with students watching videos of lectures and working on homework in class with peers and instructor. Method C - fully online, with students watching videos of lectures, with homework outside of class. They then gave each class the same final exam (out of 20 points). These were the results:

Answers

Answer:

It doesnt show the results

Step-by-step explanation:

Show that a vector
[tex]u = x _{1}i + y_{1}j + z_{1}k[/tex]
with direction cosines (cos α, cos β, cos gamma) can be written as
[tex]u = |u| ( \cos \alpha i + \cos\beta j + \cos \gamma k)[/tex]

Answers

Answer:

 u = |u|(cos∝+cosβ+cosγ)

Step-by-step explanation:

Explanation

Proof:-

Given a vector  u = x₁ i + y₁j +z₁k

let O X, OY, O Z be the positive co-ordinate axes

P(x₁,y₁,z₁) be any point in the space

Let OP makes angles α,β,γ with co-ordinate axes OX , OY ,OZ .

The angle α,β,γ are known as direction angles and cosine of the angle

l =cosα , m= cosβ , n=cosγ

The perpendicular PA,PB,PC are drawn co-ordinate axes OX,OY,OZ respecctively

InΔOAP , ∠A =90° , cos∝ =[tex]\frac{x}{r}[/tex]

                                 x₁ = rcos∝

InΔOBP , ∠B =90° , cosβ =[tex]\frac{y}{r}[/tex]

                                 y₁ = rcosβ

InΔOCP , ∠C =90° , cosγ =[tex]\frac{z}{r}[/tex]

                                z₁ = rcosγ

Given   u = x₁ i + y₁j +z₁k

      |u| = [tex]\sqrt{(x_{1})^{2} +(x_{2} )^{2} +(x_{3} )^{2} }[/tex]

Therefore  u = x₁ i + y₁j +z₁k

               u = |u|(cos∝+cosβ+cosγ)

         

What are the first three terms of the Arithmetic Sequence an = 12 – 2(n – 1)?
Group of answer choices

11, 10, 9

12, 10, 8

0, 10, 20

1, 2, 3

Answers

Answer:

The first 3 choices are:

12, 10, 8

Step-by-step explanation:

n represents a variable, in which you start at 1 and increase by 1.

So, we first start at 1.

12 - 2(1 - 1) = 12 - 2(0) = 12

Now, 2.

12 - 2(2 - 1) = 12 - 2(1) = 10

Now, 3.

12 - 2(3 - 1) = 12 - 2(2) = 8

So, we result in 12, 10, and 8.

#teamtrees #WAP (Water And Plant)

Answer:

B

Step-by-step explanation:

an = 12  - 2(n - 1)

a1 = 12 - 2(0)

a1 = 12

==============

a2 = 12 - 2(2 - 1)

a2 = 12 - 2

a2 = 10

==============

a3 = 12 - 2(3-1)

a3 = 12 - 2*2

a3 = 8

I think B must be the correct answer. I don't think you can start with n = 0 but the question should qualify that.

There are 6 2/3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 1/2pounds. This would fill and 4/9 containers. (3 points)

Answers

Step-by-step explanation:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is shared between James and Dan in the ratio of 2:3. In 1996 the profit was $ 20000. Show that Dan’s share was $3000.

Answers

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

Dan part =3x

Dan value=( 5000/5)*3=3000

Step-by-step explanation:

Which of the following questions describes the equation = -20? What number, when multiplied by four, is equal to negative twenty? What number, when divided by four, is equal to negative twenty? What number, when multiplied by negative twenty, is equal to four? What number, when divided by negative four, is equal to twenty?

Answers

Answer:

An equation contains an equal sign so -20 is not an equation, I think it's a typing error

Maria has a savings account that is earning simple interest. If she started with $200 in the account and has earned a total of $8 in interest in two years, what is the rate of the account?

Answers

Answer:

The rate of the interest for savings account is: 2%

Step-by-step explanation:

Simple interest is given by the formula

[tex]I = Prt[/tex]

Here

I is the interest,

P is the principal amount

r is the interest rate

and

t is the time period in years

Now, it is given that

P = $200

I = $8

t = 2 years

Putting the values in the formula

[tex]8 = 200 * r * 2\\8 = 400 * r\\r =\frac{8}{400}\\r = 0.02[/tex]

Converting into percentage

r = 2%

Hence,

The rate of the interest for savings account is: 2%

Answer:

0.02

Step-by-step explanation

Angle A and B are supplementary angles. Angle A measures 45 degrees. What is the measurement of angle B?

Answers

Answer:

135

Step-by-step explanation:

Supplementary means both angles equal 180 degrees when combined

180 - 45 = 135

Complementary means both equal 9 degrees when combined

if u think connect the lines of S and it makes and 8 for 180 and C makes 9 for 90

The measurement of the angle B should be considered as the 135 when the Angle A is given.

Calculation of the measurement of angle B:

Since

Angle A and B are supplementary angles.

Angle A measures 45 degrees.

So we know that the sum of the supplementary angles is sum upto 180 degrees

So, it can be like

A + B = 180

45 + B = 180

B = 180 - 45

= 135 degrees

hence, The measurement of the angle B should be considered as the 135.

Learn more about an angle here: https://brainly.com/question/16616666

if p is directly proportional to 7 and p=12 when t =4 find the value of t when p=18

Answers

Answer:

When p=18, t=6

Step-by-step explanation:

If p and t are directly proportional, then:

p = k.t

Where k is the constant of proportionality.

We are given an initial condition: when p=12, then t=4. Substituting in the equation:

12 = k.4

Solving for k

k = 12/4 =3

The equation is:

p = 3t

Now we are required to find the value of t when p=18:

18 = 3t

Solving for t:

t = 18/3 = 6

t = 6

Thus, when p=18, t=6

TAKE A PIC OF A PEICE OF PAPER WITH THE WORK ON IT AND AWNSER. Heyyy pls help me :( it would mean a lot!!! I have a 55% in math rn and I’m trying to get it up.. it would mean a lot if you could help me. I’m not doing so good rn. My parents are very mad about my grades, pls help. JUST 5 QUESTIONS

Answers

Answer:

1.

4x-5x+3-8

-x-5

2.

3x^2+8x^2-2x+7x

11x^2-5x

3.

4x+9x+2y+3y^2

3y^2+5y+13x

4.

-5x-7x-2

-5x+-7x-2

-12x-2

5.

6(3x-5)-9x

6(3(4)-5)-9(4)

6(12-5)-36

6(7)-36

6

hopefully this helps! the boxed answers are the answer to the problem, feel free to comment if you need more help or clarification!

To collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings. She has a graduate student, Henry, to assist her. Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself. How long will it take Briana and Henry to complete the task together?

Answers

Answer:

Both take time together = 36 / 5 hours = 7.2 hours

Step-by-step explanation:

Given:

Briana take time = 12 hour

Henry take time = 18 hour

Find:

Both take time together

Computation:

Briana 1 hour work = 1/12

Henry 1 hour work = 1/18

Both take time together = 1/[1/12+1/18]

Both take time together = 1/[5/36]

Both take time together = 36 / 5 hours = 7.2 hours

Mrs. Gomez likes to put 3 tablespoons on every 2 1/2 cups of ice cream she eats if she has 5 cups of ice cream how much tablespoons of sprinkles does she need

Answers

Answer:

4.5 cups of dookie

Step-by-step explanation:

hope this helps!!!!!!

Answer:

6 teaspoons

Step-by-step explanation:

This is easy because 2 1/2 x 2 = 5. So you simply just multiply 3 by 2 and get 6.

dont mind this question

Answers

Answer:

hello, there.

Step-by-step explanation:

General kanobi

A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.

Answers

Answer:

67 dollars and 20 cents

Step-by-step explanation:

2.10 per thumb cover

32x2.10=67.2

Answer:

if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50

Step-by-step explanation:

Is k=4 a solution of 4 K + 7=7 k-1

Answers

Answer:

k=8/3

Step-by-step explanation:

Let's solve your equation step-by-step.

4k+7=7k−1

Step 1: Subtract 7k from both sides.

4k+7−7k=7k−1−7k

−3k+7=−1

Step 2: Subtract 7 from both sides.

−3k+7−7=−1−7

−3k=−8

Step 3: Divide both sides by -3.

−3k

−3

=

−8

−3

k=

8

3

The value of k is equal to 8/3 for the given expression.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The given expression is  4 K + 7=7 k-1, the value of k is calculated as,

4K + 7=7k-1

Separate the like terms in the above equation and solve for the value of k,

4K + 7=7k-1

7k  - 4k = 7 + 1

3k = 8

k = 8/3

Therefore, the value of k will be 8/3 in the given equation. The value of k = 4 is wrong.

To know more about an expression follow

https://brainly.com/question/4365680

#SPJ2

In a scale model of a product, a part has a volume of 20 inches cubed. If the product will be 4 times longer, 4 times wider, and 4 times taller than the model, then what will be the volume of the product?

Answers

Answer:

1280 in³

Step-by-step explanation:

Volume of model v = 20 in³

The volume is the product of 3 dimensions

If each dimension will increase 4 times, then the volume of the product will be:

V = v*4*4*4 V = 20*64 = 1280 in³

What type of triangle can have one right angle?
acute
equilateral
isosceles
scalene

Answers

a scalene triangle could have a right angle

Carle is cutting pieces of string that are exactly inches long. How many pieces can she cut from a ball of string that has 100 feet?

Answers

Answer:

Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet? 1 foot= 12 inches. A) 49 pieces.Oct 14, 2016

Step-by-step explanation:

The numbers - 12, -7, -2,3,... follow a pattern. What are the next three
numbers in this pattern?

Answers

The pattern is +5...

Answer:

5

Step-by-step explanation:

Can someone help me with this problem ?

Answers

24

do 33 divided by 2 (2= half) you get 16.5, you cant have half a stamp so remove the .5 to get 16, add 8 to get 24

Answer:

50

Step-by-step explanation:

If he sells half of his stamps and buys 8 more after and ended up with 33 I would take away 8 (33-8=25) and get 25 (which is the other half that he didn't sell). After figuring out what the other half was you would double this number and get your starting number which is 50 ( 25*2= 50)

So this is the set-up

50/2= 25+8= 33 and 33-8= 25*2= 50

It might be wrong lol but I hope this helped

Add the following complex numbers: (4 - 2i) + (12 + 7i) A. -8 + 5i B. 16 + 5i C. 16 + 9i D. -8 + 9i

Answers

Summing complex numbers is easy: you just sum the real parts together and the imaginary parts together:

[tex](a+bi)+(c+di)=(a+c)+(b+d)i[/tex]

So, you have

[tex](4 - 2i) + (12 + 7i) = (4+12)+(-2+7)i = 16+5i[/tex]

The list shows the number of miles six people drove in a month .
445, 380, 365, 375, 370, 315

What is the mean absolute deviation of these numbers ?

Answers

The Mean (μ) = 375
Mean Absolute Deviation (MAD) = 25

On a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour. Which equation shows the temperature over time?
A.y=-3x-7
B.y=-3x+7
C.y=3x-7
D.y=3x+7

Answers

Answer:

The equation shows the temperature over time will be:

[tex]y = 3x - 7[/tex]

Hence, option (C) is correct.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

Let 'y' be the temperatureLet 'x' be the time in the hour

Given that one very cold morning, it was -7°F.

Thus, the y-intercept = b = -7

Given that as the day went on, the temperature rose 3 degrees each hour.

Thus, the rate of change = slope = m = 3

Thus, substituting m = 3 and b = -7 in the equation

[tex]y = mx+b[/tex]

[tex]y = 3x + (-7)[/tex]

[tex]y = 3x - 7[/tex]

Therefore, the equation shows the temperature over time will be:

[tex]y = 3x - 7[/tex]

Hence, option (C) is correct.

Solve. Please show your work

Answers

Answer:

128

Step-by-step explanation:

8^2√2^2

64√2^2              rewrite √2^2 as 2

64*2

=128

a service station has 92-octane and 98-octane gasoline. How many liters of each should be mixed to provide 12 liters of 96-octane gasoline needed for chemical research

Answers

we use the rectangle rule

96-92=4 parts of 92 octane

98-96=2 parts of 98 octane

4x+2x=12

6x=12

x=2

4x=8 liters of 92 octane

2x=4 liters of 98 octane

Please send me a answer ASAP please thank you

Answers

Answer:

The answer would be D.9

In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)

Answers

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

Question 3 (10 points)
(01.07 MC)

The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)

Answers

Answer:

7.96 × 10⁸ kg

Step-by-step explanation:

Step 1: Given data

Mass of the Eiffel Tower (mE): 9.16 × 10⁶ kgMass of the Golden Gate Bridge (mG): 8.05 × 10⁸ kg

Step 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower

To determine this ratio, we need to do the following subtraction.

mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg

The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.

Which are 60% as a fraction?

Answers

answer:
6/ 10 and 3/5

Answer:

3/5

Step-by-step explanation:

URGENT
The table shows the derivation of tan(2x). Select the
correct reason for each step.
Reason 1 is
Reason 2 is
Reason 3 is

Answers

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation: ED 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation:

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