A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Calculate the 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober. Use t*

Answers

Answer 1

Answer:

The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7079

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.7079\frac{1.496}{\sqrt{40}} = 0.64[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.914 - 0.64 = 0.274 seconds

The upper end of the interval is the sample mean added to M. So it is 0.914 + 0.64 = 1.554 seconds

The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.


Related Questions

A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.

B.
The location of the scuba diver in relation to sea level was feet.

C.
The location of the scuba diver in relation to sea level was feet.

D.
The location of the scuba diver in relation to sea level was feet.

Answers

Answer:

A, B, C, and D

Step-by-step explanation:

all answer choices are the same

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x=13.584

Step-by-step explanation:

[tex] \frac{x}{ \sin(51) } = \frac{11}{ \sin(39) } \\ [/tex]

[tex]x = 13.584[/tex]

[tex]180 - 39 - 90 = 51[/tex]

What is the equivalent ratio??

Answers

1/2 = 50 %
equivalent ratios could be: 2/4, 5/10, 6/12, etc

Answer: 1:2

Since it is a half, we can simply use 1:2 since it is a one-to-two ratio.

Polygon G H I J K has 5 sides.
Which statements are true about the regular polygon? Select three options.

The sum of the measures of the interior angles is 900°.
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
The sum of the measures of the interior angles is 180(5 – 2)°.

Answers

Each interior angle measures 108°.All its angles are congruent.Sum of the measures of the interior angles is 180(5 – 2)°

What is a Regular Polygon?

A regular polygon has equal side lengths and congruent interior angles.

The sum of the interior angles of any regular polygon is determined using the formula: (n - 2)180, where n is the number of sides.

Thus, given polygon GHIJK has 5 sides, we would have the following:

The polygon is a regular pentagon.

Sum of all its interior angles = (5 - 2)180 = 540°.

Each interior angle = 540/5 = 108°

Therefore, the statement that is true about the regular polygon are:

Each interior angle measures 108°.All its angles are congruent.Sum of the measures of the interior angles is 180(5 – 2)°

Learn more about regular polygon on:

https://brainly.com/question/1592456

Answer: b, c, e

Step-by-step explanation:

Which of the following inequalities matches the graph?

A. -2x + 3y > 7

B. 2x - 3y < 7

C. -3x + 2y ≥ 7

D. 3x - 2y ≤ 7

Answers

A. But if it’s wrong then I’m sorry

Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.

Answers

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.

Just really need a answer to this Savvas question!

Answers

Answer:

Solution given:

radius=r=2cm

height=h=9cm

Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³

The required volume is 36π0r 113.1cm³

PLS HELP!!!
PLSSSSS!!!!

Answers

Answer: x=12dm

Step-by-step explanation:

c=13     means hypotenous

a=5     means altitude

b=x=?   means   base

By pythagorean theorem

c^2=a^2+b^2

(13)^2=(5)^2+(x)^2

169=25+x^2

x^2=169-25

x^2=144

Taking sqrt  on both sides

x=12

Please help I forgot how to do this

Answers

Answer:

56.

Step-by-step explanation:

Formula for solving a triangle is 1/2 * base * height.


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

Step-by-step explanation:

Equation: (3x+7) + (10x+17) = 180

*These are consecutive interior angles and they add to 180 degrees

1.) Add like terms

13x + 24 = 180

2.) Subtract 24 from both sides

13x = 156

3.) Divide each side by 13

x = 12

*Substitute x in both expressions to get angle measures

Value of x: 12

3(12)+7 = 36+7 = 43

10(12)+17 = 120+17 = 137

*Check 43+137 = 180

Angle Measures: 1st angle: 43 degrees

2nd angle = 137 degrees

Find the slope of each line (no links I’ll report)

Answers

Answer:

Slope = ⁵/7

Step-by-step explanation:

Slope (m) = change in y / change in x

Using two points on the graph, (-4, -4) and (3, 1),

Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7

Slope (m) of the line = 5/7

Khan academy pls help!

Answers

Answer:

The answer is b

Step-by-step explanation:

Please help ASAP!!!!!

Answers

Answer:

First term of the given series = 4

The last term of the given series = 11

Step-by-step explanation:

Explanation

Given that the sum of the series

                  ∑⁸ₙ₋₁  (n+3)

The [tex]n^{th}[/tex] term of the given sequence

           aₙ = (n+3)

Put n=1

         a₁ = 1+3 = 4

Put n=2

        a₂ = 2+3 =5

Put n=3

       a₃ = 3+3 = 6

Put n=4

     a₄ = 4+3 =7

Put n=5

    a₅ = 5+3 =8

Put n=6

   a₆ = 6+3 =9

Put n=7

  a₇ = 7+3 = 10

Put n=8

  a₈ = 8+3 =11

The sequence of the given series

          4,5,6,7,8,9,10,11

Final answer:-

First term of the given series = 4

The last term of the given series = 11

           

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

4 feet

Step-by-step explanation:

MN/RT=MO/RS

6/3=8/RS

6RS=24

RS=24/6

RS=4

SORRY IF LATE AND WRONG!!!

If p(x) = (2x – 7)(7x + 2), what are the zeros of the polynomial?

Answers

Answer:

x=7/2 and x=-2/7

Step-by-step explanation:

By the Zero Product Property, we will set both expressions equal to 0 and solve:

p(x) = (2x-7)(7x+2)

0 = (2x-7)(7x+2)

2x-7=0 and 7x+2=0

2x=7 and 7x=-2

x=7/2 and x=-2/7

The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

p(x) = (2x – 7)(7x + 2)

Then the zeroes of the polynomial will be

The factor of the polynomial is already given. Then the zeroes will be

x = 7/2, -2/7

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Stacy Arrington is paid $.73 for sewing a
jacket collar, $.86 for a sleeve with cuffs,
and $.94 for a lapel. One week she sewed
318 jacket collars, 112 sleeves with cuffs,
and 37 lapels. Find her gross earnings.

Answers

Answer:

Her gross earnings for that week were $ 363.24.

Step-by-step explanation:

Since Stacy Arrington is paid $ 0.73 for sewing a jacket collar, $ 0.86 for a sleeve with cuffs, and $ 0.94 for a lapel, and one week she sewed 318 jacket collars, 112 sleeves with cuffs, and 37 lapels, to find her gross earnings you must perform the following calculations:

(318 x 0.73) + (112 x 0.86) + (37 x 0.94) = X

232.14 + 96.32 + 34.78 = X

363.24 = X

Therefore, her gross earnings for that week were $ 363.24.

What is the area of this circle in square inches? Use 3.14 for n. Round your answer to the nearest tenth.
the radio is 14
help pleasee​

Answers

Answer: 615.4

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

if the radius is 14

[tex]A=\pi 14^{2} \\A=196\pi \\A=196(3.14)\\A=615.44\\[/tex]

Answer:

615.4

Step-by-step explanation:

Area= 3.14x14²

Area= 615.4

Hope this helps!! have an Amazing day!!

Gideon is filling a container with sand. How much sand will fit in the container?
2 cm
19 cm
11 cm
A 32 cm
B. 209 cm
c. 418 cm
D. 629 cm3

Answers

Answer:

C) 418 cm

Step-by-step explanation:

19*11=209

209*2=418

formula for volume= l*w*h

Can I please have Brainliest?

Alexis has 27.5 ounces of beads. How many necklaces can she make if each one uses 2.5 ounces?

Answers

Answer:

11

Step-by-step explanation:

27.5/2.5

she can make 11 necklaces

$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will.the job take

Answers

Answer: 5

Step-by-step explanation:

If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by C22 is ?

In a matrix with components aij, which represents unit sales for july, the maximum possible value that a31 can have is ?

Answers

Answer:

[tex]C_{22} = 389[/tex]

[tex]Max(A_{31}) =376[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): The entry C22

First, matrix C represents the inventory at the end of July.

The entry of C is calculated as:

[tex]C = Inventory - Sales[/tex]

i.e.

[tex]C = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right] - \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}543-102&356-78&643-97\\364-98&476-87&419-59\\376-54&903-89&409-79\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}441&278&546\\266&389&360\\322&814&330\end{array}\right][/tex]

Item C22 means the entry at the second row and the second column.

From the matrix

[tex]C_{22} = 389[/tex]

Solving (b): The maximum A31 possible.

From the given data, we have:

[tex]Inventory = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right][/tex]

[tex]Unit\ Sales = \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]

From the matrices above.

A31 means entry at the 3rd row and 1st column.

So, the possible values of A31 are:

[tex]A_{31} = 376[/tex]

and

[tex]A_{31} = 54[/tex]

By comparison, 376 > 54

So:

[tex]Max(A_{31}) =376[/tex]  

9 is what percent of 45?

Answers

Answer: 20%

9/45 x 100%= 20%

Answer:

20

Step-by-step explanation:

Edgenuitu

A triangle has angles measuring 108 and 24 degrees. What is the measure of the third angle?

Answers

Since a triangle’s total degrees equals 180 you would do 180-108-24 and you would get 48° for your answer

equivalent equation for 3:7

Answers

Answer:

Hay fracciones infinitas equivalentes a 3

7

. Vea algunos ejemplos:

3

7

, 6

14

, 9

21

, 12

28

, 15

35

, 18

42

, 21

49

, 24

56

, 27

63

, 30

70

, 33

77

, 36

84

, 39

91

, 42

98

, 45

105

, 48

112

, 51

119

, 54

126

, 57

133

, 60

140

...

Lista más fácil de copiar y pegar:

3/7, 6/14, 9/21, 12/28, 15/35, 18/42, 21/49, 24/56, 27/63, 30/70, 33/77, 36/84, 39/91, 42/98, 45/105, 48/112, 51/119, 54/126, 57/133, 60/140 ...

Step-by-step explanation:

Answer: Hello, There! your Answer is Below

6:14

Step-by-step explanation:

Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Hope this Helps!!

Plz explain your Question Better.

A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

a. Trueb. False

Answers

Answer:

a. True

Step-by-step explanation:

By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.

In the given question the null hypothesis is

H0: u ≤ 1 hour and Ha:  u > 1 hour

So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

The given statement is true.

What is the area of the shaded segment shown? Round your answer to the nearest tenth please help me solve this

Answers

Answer:

0.3 in²

Step-by-step explanation:

This picture is NOT to scale.  That 20° Angle looks more like 70°.

Area of the circle = 81pi = 254.469

20/360 of the circle = 1/18 = 14.137

Area of triangle = 13.851

14.137-13.851= 0.3 in²

Ok. Keleiek 2/7=^++^*€€£|€|£|

Answers

What is that??????????????

Answer:

pardon?

Step-by-step explanation:

Simplify: -4g(8g + 5)

Answers

Answer:

−32^2−20

Step-by-step explanation:

How much money is needed to buy one fourths of a pound of butter at $.92 a pound 4 pounds of sugar at $.24 a pound and six eggs at $.72 a dozen

Answers

Answer:

$1.55

Step-by-step explanation:

(0.92/4) + (4 x 0.24) + (0.72/2) = 1.55

Which expressions are equivalent to 6 + 12x?

Answers

Answer:

Expressions A, C, D are equivalent

Step-by-step explanation:

Equivalent expressions:

Two expressions are equivalent if they give the same result. So

Option A:

3(2 + 4x)  =3*2 + 3*4x = 6 + 12x

So equivalent

Option B:

3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent

Option C:

5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.

Equal, so equivalent

Option D:

7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x

Equal, so equivalent.

Option E:

7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x

Different, so not equivalent.

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