The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.

Answers

Answer 1

Answer:

The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles

Step-by-step explanation:

Formulate the null and alternate hypothesis as

H0: u1= u2  against the claim Ha: u1≠ u2

The data given is

y`1=118,    y`2=109     s21=102,   s22=87

The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2

n1= n2= 64

And

Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2

Sp² = 63*102+6*87/64+64-2

Sp² = 94.5

Sp= 9.7211

Putting the values in the test statistic

t= 118-108/9.7211√1/64+1/64

t= 5.237

Now finding the value of t at ∝=0.01 for two tailed test

t( 126,0.005)= ±2.6154

At alpha= 0.01  the null hypothesis is rejected.

Now finding the value of t at ∝=0.05 for two tailed test

t( 126,0.025)= ±1.979

Even at alpha= 0.05 the null hypothesis is rejected.

Also at alpha= 0.05 the null hypothesis is rejected because the critical value is  ±1.657

Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles


Related Questions

According to the graph, the __________________ is 57-43.

Answers

Answer:

Range

Step-by-step explanation:

The range is the max value minus the min value

A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome

Answers

60 times

You have a 1/3 chance each spin.

1/3 = x/180
180 = 3x
x = 60

What is the decimal equivalent of 2/3?

Answers

Answer:

0.66

Step-by-step explanation:

Answer:

i think 0.6

Step-by-step explanation:

i thank hope it helps

i don’t know if it’s A or B

Answers

Answer:

A

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

:)

The answer is going to be A

HELP I NEED TO DO THIS NOW

Answers

Answer: The answer is 1:2, i hope it helps.

One card is drawn from a regular deck of 52 cards. Find P (a red jack). Express your answer as a fraction and a percent, rounded to the nearest tenth of a percent.

Answers

Answer:

GIME SUM SKITTLES (Points)

Step-by-step explanation:

Answer:

Step-by-step explanation:

??.

What is the area of the figure?
7 in
Bin.
in
16 m

Answers

Answer:

112

Step-by-step explanation:\

Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)

If we follow this and plug in the Numbers we get the equasion- A=7x16

And so we solve and get the answer 112

hope this helped have a great day :3 (brainliest pls i need one more )

Plz help me well mark brainliest if correct....?.?.?.?

Answers

It’s 18 because it says perimeter meaning add all sides


HELP

What is the equation of the trend line in the scatter plot ?

Answers

Yo bro I need food give six seven

There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?

Answers

Answer:

Step-by-step explanation:

It is C

Answer: C- 303

Step-by-step explanation:

A. 1/3
B. 1
C. 2
D. 3/1
E. 1/2
F. 2/3

Answers

Answer:

B

Step-by-step explanation:

the graph is completely proportional so the answer would be 1

1. Write an equation of the line in slope-intercept form that passes through (4.2) and (8.–2).

Answers

Answer:

its (8+4)/(-2-2) so the slope is -3x

Step-by-step explanation:

help please help please ​

Answers

Wouldn’t that be 2/3?! I may be wrong if so sorry

Look at picture and find the value of x please help no links!!

Answers

The best answer to go with is c

Jaylin Earned $36 for 3 hours of work and $60 for 5 hours of work. What is the Constant of Proportionality?

Answers

I believe it would be 12$ per hour or aka constant proportionality!! I hope I get brain-list!!
Explanation
36 divide by 3 = 12
60 divide by 5 = 12
So twelve is your answer

Jason drove 8 4/5 miles to a subway station. He then 15 /6 miles by taxi to attend a meeting. How many total miles did he travel?

Answers

Answer:

Option A: (23 + 29/30) miles

Step-by-step explanation:

Here we just need to add two mixed numbers.

(8 + 4/5) miles and (15 + 1/6) miles.

To add these, we just separate between the whole part and the fraction part:

(8 + 4/5) miles + (15 + 1/6) miles

= (8 + 4/5 + 15 + 1/6) miles

= (8 + 15 + 4/5 + 1/6) miles

= (23 + 4/5 + 1/6) miles

Now we need to find a common multiple between 6 and 5.

So, only analyzing the fraction part of the sum, we can rewrite:

4/5 + 1/6

= 4/5*(6/6) + 1/6*(5/5)

(notice that we are multiplying both numbers by one, so we do not change the expression's value)

= (4*6)/(5*6) + (1*5)/(6*5)

= 24/30 + 5/30

So now both fractions have the same denominator.

Then, replacing that in the sum equation we get:

(23 + 4/5 + 1/6) miles =  (23 + 24/30 + 5/30) miles

= (23 + 29/30) miles

Then the correct option is option A.

convert (-2,2) into equivalent polar coordinates

Answers

(2rad2, 135) is the polar equivalent

Please If you plan to help me with any of these and respond to I would be grateful please show that this application is for good answers God bless you

Answers

Answer:

Step-by-step explanation:

Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.

A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the
arc?
A. 52.36 inches
B. 75.4 inches
C. 0.1308 inches
D. 3000 inches

Answers

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.

Help me with Perpendicular angles

Answers

Answer:

x = 50°

x = 70°

Step-by-step explanation:

A right angle is indicated by a small box.

The angles shown are right angles = 90° each. Therefore:

✔️x + 40° = 90°

Subtract 40° from each side

x = 90° - 40°

x = 50°

✔️x + 20° = 90°

Subtract 20° from each side

x = 90° - 20°

x = 70°

can someone help me please please?

Answers

Answer:

22

Step-by-step explanation:

Count the dot

Find the area of the composite figure.
A. 65.1 sq in
B. 90.3 sq in
C. 106.3 sq in
D. 241.1 sq in

Answers

Answer:

I think B but not so sure

Hoping you have a good day

Answer:

Step-by-step explanation:

radius of semi circle=8/2=4 in

height of triangle=14-4=10 in.

area of composite figure=1/2×8×10+π×4²=40+16 π≈90.3 sq. in

kevin scored 11 points in his last basketball game. if kevin made two more free throws (one point each) then two-point shots, how many of each shot did he make? choose the graph that best depicts this problem.

Answers

Answer:

Kevin made 5 free throws and 3 two-point shots.

Step-by-step explanation:

Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:

11 x 1 + 0 x 2 = 11

6 x 1 + 4 x 2 = 14

5 x 1 + 3 x 2 = 11

Therefore, Kevin made 5 free throws and 3 two-point shots.

Answer:

Step-by-step explanation:

Graph

Write the hourly wage 15 dollars an hour as a fraction

Answers

it can be written like this, hope this helps: $15/hour <3

The hourly wage 15 dollars an hour as a fraction is $15/1hr.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

There is a fraction, containing numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

Given;

wage of 1hour = $15

In fraction;

15dollars/1hour

Therefore, the answer in fraction will be 15/1

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ2

Solve for x in this equation: 3/4+ |5-x| = 13/4

Answers

Answer:

  x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

  |5 -x| = 10/4 = 2.5

This resolves to two equations:

5 -x = 2.5   ⇒   x = 5 -2.5 = 2.55 -x = -2.5   ⇒   x = 5 +2.5 = 7.5

The solutions are x = 2.5 or 7.5.

Evaluate 5x when x =8

Answers

Answer:

5x

= 5(8)

= 40

I hope I've helped

A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
00
11
14
16
15 12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Enter

Answers

I think that would be 16

Robert must read a few books from his home library. He read any 4 out of 6 books from the top shelf, and then any 2 out of 3 books from the middle shelf and then any 3 out of 6 books from the bottom shelf. In how many ways can Robert read the books, if different orders in which the books will be read count as different ways

Answers

Answer:

Robert can read the books in 129,600 different ways.

Step-by-step explanation:

The order in which the book are read is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Top shelf:

4 books from a set of 6. So

[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]

Middle shelf:

2 books from a set of 3. So

[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]

Bottom shelf:

3 books from a set of 6. So

[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]

Total:

360*3*120 = 129,600

Robert can read the books in 129,600 different ways.

7
Identify the vertex, axis of symmetry,
and y-intercept.
f(x) = -1 (x + 4)2 – 5
Vertex:
Axis of symmetry:
y-intercept:

Answers

No Vertex : 3
Axis of symmetry :1
Y-intercept : (0,13)

Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4

Answers

Answer:

[tex]x < -4[/tex]

[tex]-4 > x[/tex]

Step-by-step explanation:

Given

Description of number line

Range: -6 to 2

Open circle on -4

Left shaded

Required

Select the number line

From the question, we understand that the left side of the number line is shaded.

This means that the inequality is [tex]\le[/tex] or [tex]<[/tex]

Also, the open circle on -4 means that we discard [tex]\le[/tex].

So, the inequality is:

[tex]x < -4[/tex]

The opposite of the above inequality is:

[tex]-4 > x[/tex]

Answer:

A, D.  

Step-by-step explanation:

good luck with edge :)

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