To compare the dry braking distances from 30 to 0 miles per hour for two makes of​ automobiles, a safety engineer conducts braking tests for 35models of Make A and 35 models of Make B. The mean braking distance for Make A is 41feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 45feet. Assume the population standard deviation is 4.3 feet.At alphaequals0.10​,can the engineer support the claim that the mean braking distances are different for the two makes of​ automobiles

Answers

Answer 1

Answer:

There is sufficient evidence to support the claim.

Step-by-step explanation:

Given

[tex]\alpha = 0.10[/tex]

Make A

[tex]\bar x_1 = 41[/tex]

[tex]\sigma_1= 4.6[/tex]

[tex]n = 35[/tex]

Make B

[tex]\bar x_2 = 45[/tex]

[tex]\sigma_2 = 4.3[/tex]

[tex]n = 35[/tex]

First, we state the null and alternate hypothesis

[tex]H_0 : \mu_1 = \mu_2[/tex]

[tex]H_1 : \mu_1 \ne \mu_2[/tex]

Next, calculate test statistic:

[tex]z = \frac{(\bar x_1 - \bar x_2)-(\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}[/tex]

[tex]z = \frac{(41- 45)-0}{\sqrt{\frac{4.6^2}{35}+\frac{4.3^2}{35}}}[/tex]

[tex]z = \frac{-4}{\sqrt{0.6046+0.5283}}[/tex]

[tex]z = \frac{-4}{\sqrt{1.1329}}[/tex]

[tex]z = \frac{-4}{1.0643}[/tex]

[tex]z = -3.7583[/tex]

The critical value at [tex]\alpha = 0.10[/tex] is: [tex]\±1.282[/tex]

[tex]-3.7583 < -1.282[/tex]

So, we reject [tex]H_0[/tex]

This implies that; there is sufficient evidence to support the claim.


Related Questions

Which of the following is equivalent to the complex number i²22

Answers

Answer:

yes I am pretty sure that's correct

¿cuál. es el. valor. nutricional total de la naranja ?​

Answers

Answer:

Las naranjas aportan cantidades importantes de vitamina C y folatos. Tienen un contenido apreciable de tiamina, vitamina A, calcio, potasio yfibra y destacable contenido de carotenoides y flavonoides.

Step-by-step explanation:

Answer:

Las naranjas aportan cantidades importantes de vitamina C y folatos. Tienen un contenido apreciable de tiamina, vitamina A, calcio, potasio yfibra y destacable contenido de carotenoides y flavonoides.

Step-by-step explanation:

If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?

A. 13 cubic ft
B. 7 cubic ft
C. 6 cubic ft
D. 8 cubic ft

Answers

Answer:

C; 6 cubic ft.

Step-by-step explanation:

theres 6 cubes and each are 1 feet 2^ so therefore 6 times 1 = 6 ft. 2^

The answer is c because there is 6 cubes

(DUE TODAY) Paul wants to build this model with clay, but he does not know how much clay to purchase. Draw a line to separate the model into two rectangular prisms. Then write an expression for the volume of the model. What is the volume?

Answers

Answer:

first draw a horizontal line through the middle, (you prob know where)

top prism: 5x4x5

bottom prism: 9x5x3

volume: 5x4x5+ 9x5x3

=235cm²

Step-by-step explanation:

There you go, hope this helps!

ANSWER PLS HELP NOW PLS

Answers

2. 54 inches

3. 18 centimeters

4 163-2 492
8. Find the product of:
a) 123 x 34​

Answers

Answer:

4182

Step-by-step explanation:

A boat traveled one hundred fifty feet in 9.7 seconds. How far would the boat travel in one minute thirty seconds?

Answers

Answer:

40250

Step-by-step explanation:

You have to just basically multiply 9.7x50 and that’s your answer I think .

Please!!!!! help!!!!!

Answers

Answer:

x = 6, x = 8, and x = 10

Step-by-step explanation:

Since 44 > 35, that means that

[tex]2x + 3 > x + 8\\x + 3 > 8\\x > 5[/tex]

so that means the ones that work are x = 6, x = 8, and x = 10

Subtract -4 and -11 with the help of number line. pls answer as soon as possible pls​

Answers

Answer:

7

Step-by-step explanation:

-4 - -11 = 7

remember negative + or - equals a positive same way with a positive + or - positive will give you a  positive.

PLEASE HURRY<33
Graph the following piecewise function. f(x)={x^2+2 if -5

Answers

The graph for the first is line segment joining (x, y) = (−2,−4)and (2, 4), sans the end points. The second part is the line through (-2, -6) and (-3, -9), from (-2, -6), excepting (-2, -6). ..

Step-by-step explanation: you are using y for the piecewise function.

help me with this plssss I dont understand ​

Answers

Answer:

y = 18

a = -2

Step-by-step explanation:

Hello There!

For the first one we need to create an equation to solve for y

23+7=y+12

30=y+12

isolate the variable using inverse operations

subtract 12 from each side

30-12=18

we're left with y = 18

for the second one we need to create an equation to solve for a

3+15+a=8+8+8

3+15=18

8+8+8=16

16=18+a

step 1 subtract each side by 18

16-18=-2

we're left with a = -2

i agree with the person above it seems very accurate

Here is an expression: 3 - 2t

Solve the expression when t is equal to 1. t =

Solve the expression when t is equal to 4. t =

Answers

Answer:

when t equals 1 the answer is 1. when t equals 4 the answer is -5.

Answer:

1

5

Step-by-step explanation:

solve the expression when T=1

3-2[t]

3-2[1]

3-2

1 ans

solve the expression when T=4

3-2[t]

3-2[4]

3-8

5 ans

The height of a pelican as it swoops down to catch a fish in the lake is modeled by this equation, where x represents the time, In seconds, and y represents the height of the pelican, In feet.​

Answers

Answer:

Option A : The system has two solutions, and both are viable because they result in positive values of time.

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

The system has two solutions, and both are viable because they result in positive values of time.

The Murphin Company has 2,342 employees and the Galdstock Company has 1,750 employees. How many fewer people work at the Galdstock Company than at the Murphin Company?​

Answers

Answer:

592

Step-by-step explanation:

This is a subtraction problem.

2,342 - 1,750 = 592

Car X traveled 64 miles and consumed 2 gallons of fuel, and Car Y traveled 54 miles and consumed 1.8 gallons of fuel. Which car traveled more miles per gallon?

Answers

Answer:

c

Step-by-step explanation:

There is 12/15 of pizza left. How many 4/10 pieces can be made from the leftover pizza?​

Answers

Answer:

there will be 1/5 left over pizza to make a nother pizza. this is making me hungry.

Find the slope of the line that passes through Point A (-1, -6) and Point B (-7, -3), using the formula m= y2-y1/x2-x1.​

Answers

Answer:

Step-by-step explanation:

Given A (-1, -6) and  B (-7, -3)

Slope (m)

= y2-y1/x2-x1

= - 3 + 6 / - 7 + 1

= 3/-6

=-1/2

hope it helps :)

Answer: 3 / -6

Step-by-step explanation:

-3 - (-6) / -7 - - 1 = 3 / -6

The subtraction turns into addition because to “-“ equals “+” and if graphed the points will go up three units and six units to the left

I don't know what to do ​

Answers

120°, thinking logically it’s bigger than 90° but not big enough to be over 150°, so your last answer is 120°
That’s a 120 degree

Um... anyone know this?

Answers

Answer:

show more picture pls!

Step-by-step explanation:

• How do you write the mixed number shown as a fraction greater than l? 3 4​

Answers

Answer:

[tex] \frac{14}{4} [/tex]

simplified [tex] \frac{7}{2} [/tex]

Step-by-step explanation:

To turn a mixed number into a fraction :

[tex]3\frac{ + 2}{ \times 4} [/tex]

3 x 4 =12 +2 =14 that will be your numerator (top number on a fraction)

and 4 will be your demoninator (bottom number)

What is the value of x in the equation?
3(2x+3)=27

Answers

Answer:

x=3

Step-by-step explanation:

3(2x+3)=27

2x+3=27/3=9

2x=9-3=6

x=6/2=3

Look at the picture.
Thank u!

Answers

Answer:

I'm pretty sure its 16/30 = 8/15

Step-by-step explanation:

I don't know what simplify expressions means, I do know how to convert decimals into fractions and multiply fractions so.

PLSS HELP WILL GIVE BRAINLIEST



Type the correct answer in the box. Spell all words correctly.
Which area of number sense relates to the quantity of ingredients in recipes?
A _______ is an area of number sense that relates to the quantity of ingredients in recipes.


Answers

A measurement is an area of number sense that relates to the quantity of ingredients in recipes

Answer:hey cuz that bum is wrong answer is not measurement

Step-by-step explanation:

Which of the following measures could NOT be the three sides of a triangle?

Question 13 options:

2 in, 5 in, 6 in


17 in, 8 in, 10 in


22 in, 20 in, 5 in


15 in, 4 in, 20 in

Answers

Answer:

15 in, 4 in, 20 in

Step-by-step explanation:

The sum of the smaller two sides of a triangle must be greater than the third side.

In terms of x, what are the dimensions of a rectangle whose area is represented by the
expression 49x2 - 16?
Please help

Answers

The term is 18 HOPE IT HELPS

Help please I give brainliest

Answers

Answer:

A) No Association

Step-by-step explanation:

Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.

Hope it helps!

A - (n+y) = 10y + 32
solve for y
25 POINTS Please respond

Answers

Answer:

y=-32/11+a/11-n/11

Step-by-step explanation:

math HELPPPO MEWEEE PLZZZZ

Answers

Answer:

63.5 is the correct answer

Which shapes can the composite figure be divided into to find the area?

O a rectangle and a triangle
O a rectangle and two triangles
O a trapezoid and a rectangle
O a trapezoid and two triangles

Answers

A rectangle and two triangles

How do you solve 3n-4=14! I need it explained

Answers

Here you go!
3n-4=14
+4 +4
3n=18
(Divide both sides by 3)
n=6

Answer:

n=6

Step-by-step explanation:

3n-4=14

Add 4 to both sides;

3n-4+4=14+4

Simplify;

3n=18

Divide both sides by 3

3n/3=18/3

Simplify;

n=6

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