Automobile engineers wanted to check the effect of a new automatic transmission on mileage. They selected 50 cars of the same make and model. Twenty-five of the cars used the old transmission, while the other 25 cars used the new model of transmission. A hypothesis test on the difference between the means was conducted. Which one of the following is a condition necessary to conduct this test?

a. The standard deviation of each group should be different.
b. The sampling distribution of the difference between the sample means is bimodal.
c. Since the data were random, no linear regression was possible.
d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.
e. The difference between the means was within one standard deviation.

Answers

Answer 1

Answer:

d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.

Step-by-step explanation:

A hypothesis test on the difference between the means must satisfy the following conditions

1) the samples must be randomly selected

2) each sample must have a known standard deviation

3) the samples must be independent

4) the samples must be from normal distribution

Hence only part d gives the right answer.


Related Questions

four causes of solar eclips​

Answers

Answer:

A solar eclipse occurs when the moon gets between Earth and the sun, and the moon casts a shadow over Earth. A solar eclipse can only take place at the phase of new moon, when the moon passes directly between the sun and Earth and its shadows fall upon Earth's surface

does the graph represent a function

Answers

Yes, exponential or log I think! It is a function — use vertical line test

QUICK PLZZZ!! No picture link or I’ll report u !

Answers

the second option I highly think this is correct but I'm so sorry if not!!! I even did research to see if I was right

what is the circumference?​

Answers

Answer:

Circumference is the area around the whole circle

Step-by-step explanation:

Answer:

The circumference is 50.2

Step-by-step explanation

I worked it out by

C = 2 * π *

Aiden wants to make 1/2 of a batch of muffins the recipe calls for 2/3 cup of milk for whole batch how much milk should aiden use?

Answers

Answer:

Quantity of milk Aiden needs = 1/3 cup of milk

Step-by-step explanation:

Given:

Aiden wants to make muffins = 1/2 batch

Full batch muffins need = 2/3 cup of milk

Find:

Quantity of milk Aiden needs

Computation:

Quantity of milk Aiden needs = Number of batch Aiden make x Amount of milk need for a batch

Quantity of milk Aiden needs = [1/2] x [2/3]

Quantity of milk Aiden needs = 1/3 cup of milk

How do I solve
tan x= 3/5

Answers

Answer:

30.96375653

Step-by-step explanation:

if using a calculator, type in;

shift tan (3/5)

so basically shift tan (0.6)

bracket is important

if writing;

tan^-1 (0.6) = 30.96375653

Alyana's and Stephanie's combined yearly salaries are $20,615. Alyana makes 4/7 of their combined yearly salaries. How much does Stephanie make in dollars?

Answers

Answer:

$8,835

Step-by-step explanation:

Multiply the total ($20,615) by 3/7 to get your answer.

Answer: $11,780

Multiply 4/7 by 20,615

The domain of the function f ( x ) = 45/2 x − 35 is all real numbers except for... ____________

Answers

Answer

Hi!, I do not have any idea.

Thanks

Step-by-step explanation:

A group consisting of 10 children an adult went to a movie theater children tickets cost 5 each and adults tickets cost 8 each and the total cost for 10 people was 62.how much children were in the group

Answers

9514 1404 393

Answer:

  6 children

Step-by-step explanation:

If all of the group were adults, the total cost of tickets would be 8×$10 = $80. The actual cost was $80 -62 = $18 less than that. Since each children's ticket saves $3 off the cost of an adult ticket, there were $18/$3 = 6 children's tickets.

There were 6 children in the group.

_____

If you want an equation, you can let c represent the number of children. Then the cost of tickets is ...

  8(10 -c) +5c = 62 . . . . 10-c is the number of adults

  -3c = -18 . . . . . . . subtract 80

  c = -18/-3 = 6 . . . divide by 3

There are 32 founding members of an organization. The function y 3x + 32 can be used to determine the number of members in the organization
after 3 months.

Answers

I am going to assume that 3 is supposed to be substituted for x so 3(3)+32= 41 members

Answer:

https://studyandanswers.com/mathematics/question22956714

Step-by-step explanation:

I am not the bot btw. This is the only way I can help you. If you don't like it well to bad

The area of a rectangle is 200 square feet. Find its length if its width is 10 feet.

Answers

Answer:

20        

Step-by-step explanation:

In area you have to multiply so 10 x ? = 200

10 x 20 = 200

The volume of a right cylinder is 2,000π cubic feet, and the height is 20 feet. What is the length of the radius in feet?

Answers

Answer:

r = 10 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

Volume V = 2000π ft³

Height h = 20 ft

Radius r = unknown

Step 2: Solve for r

Substitute in variables [Volume of a Right Cylinder Formula]:                      2000π ft³ = πr²(20 ft)[Division Property of Equality] Isolate r term:                                                 100 ft² = r²Rewrite:                                                                                                             r² = 100 ft²[Equality Property] Square root both sides:                                                    r = 10 ft

Answer:10 ft

Step-by-step explanation:

What annual rate of interest would you have to earn on an investment of $5500 to ensure receiving $434.50 interest after one year?
PLEASE HELPPPP

Answers

answer: 0.079 , 7.9%
434.50/5500 = 0.079

pls answer me this all question correctly pls I beg you pls friends pls pls pls pls pls pls pls pls​

Answers

Answer:

[tex]a. \: 28[/tex]

[tex]b. \: 5[/tex]

Step-by-step explanation:

[tex]a. \: 88 \div 3 \frac{1}{7} [/tex]

[tex]88 \div \frac{22}{7} [/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]88 \div \frac{7}{22} [/tex]

[tex]4 \times 7[/tex]

[tex]28[/tex]

[tex]b. \: 49 \frac{2}{9} \div 9 \frac{4}{9} [/tex]

[tex] \frac{425}{9} \div \frac{85}{9} [/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex] \frac{425}{9} \times \frac{9}{85} [/tex]

[tex]5[/tex]

Hope it is helpful...

Pls help ASAP !!!!!!!!

Answers

Answer:

C I got that

shdjdhfbfhfkdnfhfhfhfbf it wants me to do 20 characters long

30 POINTS!!!!! I NEED IT NOW!!!!!!Find the maximun, minimum,range,medium,mean,mode and the other stuff on the picture if you can if not its ok.

Answers

Answer:

34

Step-by-step explanation:

n is an integer with -5 <2n< 6
Write down all the values of n

Answers

Answer:

it is -2,-1,0,1,2

I’ll give you five Stars right answer only

Answers

Answer:

58

Step-by-step explanation:

i think the answer is 58 please give brainliest

Answer:

(a) 18.5ft

(b) 388.5 ft²

Step-by-step explanation:

(a)

She has 79ft of fence = the perimeter will be 79.

Perimeter of a rectangle = 2(length) +2(width)

79 = 2(21)+2(width)

2(width) = 79 - 42

width = 37/2

width = 18.5ft

(b)

Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²

Which set of data has the smallest difference between the mean and the median?
O A 13, 42, 17, 26, 38
OB. 28, 7, 36, 8, 17
OC 14, 29, 38, 7, 13
OD 23, 36, 25, 38, 30

Answers

Answer:

D 23, 36, 25, 38, 30

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all it's values divided by the number of values.

Median of a data-set:

The median of a data-set is the value that separates the lower 50% from the upper 50% on the ordered set.

If the cardinality n is odd, as in this case, the median is the element at the position (n+1)/2. Since in this case, n = 5, the median is the 3rd element in the ordered set.

A 13, 42, 17, 26, 38

Ordered set: 13, 17, 26, 38, 42

Median: 26

Mean: (13+17+26+38+42)/5 = 27.2

Difference: 27.2 - 26 = 1.2

B. 28, 7, 36, 8, 17

Ordered set: 7, 8, 17, 28, 36

Median: 17

Mean: (7+8+17+28+36)/5 = 19.2

Difference: 19.2 - 17 = 2.2

C 14, 29, 38, 7, 13

Ordered set: 7, 13, 14, 29, 38

Median: 14

Mean: (7+13+14+29+38)/5 = 20.2

Difference: 20.2 - 14 = 6.2

D 23, 36, 25, 38, 30

Ordered set: 23, 25, 30, 36, 38

Median: 30

Mean: (23+25+30+36+38)/5 = 30.4

Difference: 30.4 - 30 = 0.4

Option d has the smallest difference.

3.
a box has 10 red cubes, 5 blue cubes
and 2 green cubes. If a cube is
randomly picked from the box, which
coloured cube is:
(a) least likely to be picked?
(b) most likely to be picked?​

Answers

Answer:

The Answer is is option B.

A local business had various advertising campaigns. It had television ads numbered 1,2,3,4,5,6, newspaper and magazine ads numbered 1,2,3,4,5, and social media ads labeled 1,2. If a single advertisement campaign is picked at random, what is the probability that the advertisement is a social media ad AND has an odd number?

Provide the final answer as a fraction.

Answers

Answer:

1/2

Step-by-step explanation:

The probability that the advertisement is a social media ad and has an odd number is 1/13.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A local business had various advertising campaigns. It had television ads numbered 1,2,3,4,5,6, newspaper and magazine ads numbered 1,2,3,4,5, and social media ads labeled 1,2.

We need to find If a single advertisement campaign is picked at random, what is the probability that the advertisement is a social media ad AND has an odd number,

Probability = favorable outcomes / possible outcomes

Number of social media ads with an odd number = 1

Total number of ads = 13

We know that,

P(that the advertisement is a social media ad AND has an odd number)

= 1/13.

Hence, the probability that the advertisement is a social media ad and has an odd number is 1/13

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In the French Honor Society, there are 12 girls and 8 boys.
This summer, they are taking a trip to France and only 8
people can go. Find the probability that each of the
following groups will be randomly selected to go on the trip
to France.
a) All girls

b) All boys

c) 4 girls and 4 boys

d) 3 girls and 5 boys

e) At least one boy

f) At least two girls

Answers

Answer:

a) All girls - 12C8 /20 C8

b) All boys - 8C8/20C8

c) 4 girls and 4 boys - 8C4 * 12C4/20 C8

d) 3 girls and 5 boys - 8C5 * 12C3/20 C8

e) At least one boy - 1 - 12C8 /20 C8

f) At least two girls 1 - (1 - 8C8 /20 C8)

Step-by-step explanation:

Given -

Total girls - 12

Total boys - 8

a) All girls - 12C8 /20 C8

b) All boys - 8C8/20C8

c) 4 girls and 4 boys - 8C4 * 12C4/20 C8

d) 3 girls and 5 boys - 8C5 * 12C3/20 C8

e) At least one boy - 1 - 12C8 /20 C8

f) At least two girls 1 - (1 - 8C8 /20 C8)

Identify the distance between points (3,7,1) and (9,6,7), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.

Answers

Step-by-step explanation:

[tex]range = (3,7,1) - (9,6,7) \\ = ( - 6,1, - 6) \\ distance = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } \\ = \sqrt{ {( - 6)}^{2} + {1}^{2} + {( - 6)}^{2} } \\ = \sqrt{73} \\ = 8.5 \: units[/tex]

The distance between points (3,7,1) and (9,6,7) is 8.54 units and the midpoint of the segment is (6, 6.5, 4).

What is Distance?

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We need to find the distance between points (3,7,1) and (9,6,7).

Distance=√(9-3)²+(6-7)²+(7-1)²

=√6²+(-1)²+(6)²

=√36+1+36

=√73

=8.54 units

So the distance between the two points is approximately 8.5 units.

To find the midpoint of the segment between the two points, we use the midpoint formula:

midpoint = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)

Using the given points, we have:

midpoint = ((3+9)/2, (7+6)/2, (1+7)/2)

= (6, 6.5, 4)

So the midpoint of the segment is (6, 6.5, 4).

Hence,  the distance between points (3,7,1) and (9,6,7) is 8.54 units and the midpoint of the segment is (6, 6.5, 4).

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Petra is making necklaces to sell at a craft fair. The hardware for each necklace costs $3.75,
and each bead costs $0.50. The number of beads Petra needs depends on the design she
chooses. Which expression gives the total cost to make 30 necklaces with b beads?
30 (4.25b)
30 (3.75b + 0.5)
30 (0.55 +3.75)
30 (0.5b) + 3.75

Answers

the answer would be 30(0.5b)+3.75 i think because .50 would have to have a variable since we don’t know the number of beads.

suppose that a population parameter is 0.2, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values?
A. 0.1
B. 0.3
C. 0.4
D. 0.2

Answers

Answer:

D 0.2

Step-by-step explanation:

YES THIS IS RIGHT

The required, mean of the sample proportions would approach is 0.2.

What is a normal distribution?

Normal distributions can be altered to standard normal distributions by the formula:

Z = (X - μ)/σ

As the size of each sample increases, the mean of the sample proportions would approach the population parameter, which in this case is 0.2. This is known as the central limit theorem.

Therefore, the answer is D. 0.2.

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Which of the following is the inverse relation of the set?
{(3, 1), (4, 2), (5, 3), (6, 4)} ?
A)

{(3, 1), (4, 2), (5, 3), (6, 4)}

B)

{(2, 4), (3, 3), (5, 4), (6, 1)}

C)

{(1, 3), (2, 4), (3, 5), (4, 6)}

D)

{(2, 1), (4, 3), (5, 3), (6, 4)}

Answers

Answer:

c number because even or odd numbers are equal i hope help you

please mark me brainlist

Answer:

C is the Correct answer.

Step-by-step explanation:

Why 117+3 = 5! is correct

Answers

Answer:

5!= 5×4×3×2×1

117+3=120

5×4×3×2×1= 120

therefore 117+3=5! is correct

The statement 117+3 = 5! is correct because;

The left hand side and right hand side give the same solution of 120.

We want to find out why 117 + 3 = 5! is correct.

Let us first find the left hand side of the equation;

117 + 3 = 120

Now, for the right hand side, 5! simply means 5 factorial.

Factorial of a number is a term used in maths to denote the product of all

positive integers less than or equal to that number. For example; n!. That is

factorial and it means the product of all positive integers below n.

Let's apply the concept of factorial to 5!.

All positive integers less than or equal to 5 are; 5, 4 , 3, 2, 1

Thus; 5! = 5 × 4 × 3 × 2 × 1 = 120

This 5! = 120 and it is the same as 117 + 3 = 120. Thus the given statement in the question is true.

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2+9n=72
how do you find what n equals?

Answers

Answer:

the correct answer is 7.78

Identify the transformation that was applied to this letter.
HELPoo

Answers

reflection over y-axis


1. A polygon is convex if all the diagonals are found in the___ of a polygon.
A. exterior
B. interior
C. equilateral
D. equiangular
2. A regular polygon is both equiangular and____.
A. equal
B. equivalent
C. equilateral
D. concave​

Answers

A polygon is convex if all the diagonals are found in the interior of a polygon.

A regular polygon is both equiangular and equilateral

Option B and C

What is Polygon?

A polygon is simply defined as a shape, A polygon is a flat-surfaced two-dimensional shape that has straight sides.

In conclusion

A polygon is convex if all the diagonals are found in the interior of a polygon.

A regular polygon is both equiangular and equilateral

Read more about  Angle

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