Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.

Answers

Answer 1

Answer:

The  correct option is  E  

Step-by-step explanation:

From the question we are told that

    The  population mean is  [tex]\mu = \$ 758.83[/tex]

     The  null hypothesis  is [tex]H_o : \mu \ge 758.83[/tex]

      The alternative hypothesis is  [tex]H_a : \mu < 758.83[/tex]

      The  p-value is  [tex]p-value = 0.0349[/tex]

      The  level of significance is  [tex]\alpha = 0.05[/tex]

Generally from the value given we see that  the p-value  < [tex]\alpha[/tex] hence  

  The decision rule is  

Reject the null hypothesis  

 The  conclusion is  

    The true average claim amount is significantly less than $758.83.


Related Questions

Help a birb. Get a crown.

Answers

Answer:

6.

in 24/4=6,

24 is the dividend

4 is the divisor

6 is the quotient

in 4*6 = 24,

4 and 6 are the factors

24 is the product

7. division is an operation on two numbers to find the quotient

8. fact family is a group of related facts using the same numbers

9. multiplication is an operation on two numbers to find the product

Answer:

6. 24/4 = 6

7.24

8.4

9.6

4 * 6 = 24,

4 și 6 sunt factorii

24 este produsul

7. împărțirea este o operație pe două numere pentru a găsi coeficientul

8. familia de fapte este un grup de fapte conexe care utilizează aceleași numere

9. multiplicarea este o operație pe două numere pentru a găsi produsul

Step-by-step explanation:

IF you do this for points YOU WILLLL NOT BE BRAINLEST AND YOU HAVE 1 HOUR IF IT IS LESS THAN AN HOUR NO ONE WILLL BE BRAINLEST !!!!!!!!!!!



Which number is missing on the following number line?

Answers

21 is the number missing.

7, 14, 21, 28, 35 (goes by the multiple of 7)

Answer:

21

Step-by-step explanation:

It is going by multiples of 7, so the answer is 21.

Help!! Im stuck on this!

(2x + 3) + (3x + 5)
(8x^2 - 3x +3) + (2x^2 -4x +6)

3 * (2x - 6)
2x * (5x + 11)

*****

(2x + 8) - (4y + 1)
-5x * (3x^2 - 2x - 1)

What do we need to watch for in problems like this?

Answers

Answer:

when doing questions like these you need to do pemdas and do it in order

Step-by-step explanation:

p- parenthesis

e- exponents

m- multipication

d- division

a- adding

s- subtracting

A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?

Answers

Answer:

12.75

Step-by-step explanation:

If you make a proportion: 48/1=612/x

1(612)= 612

612/48

12.75 hours

At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.

What is the distance?

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the division operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.

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can someone help me to solve this queestion on Conditional Probability. In Evs and Life Science class, 25% of the students are boys and 75% of them are girls. The probability that boys passed in Statistics is 0.4 and the probability that girls passed in Statistics is 0.25. One student is selected at random. What is the probability that the selected student is passed in statistics?​

Answers

Step-by-step explanation:

If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.

If a girl student was picked, the probability that they passed is 0.75 * 0.25 = 0.1875.

Total probability = (0.1 + 0.1875) * 100% = 28.75%.

The sales tax for a certain state is 7%. Which of the following situations apply the correct amount of sales tax for the given amount?


a
A $50.00 purchase totals $53.50 with tax.
b
A $700.00 purchase totals $800.00 with tax
c
A $28.00 purchase totals $32.00 with tax.

An $84.00 purchase totals $89.88 with tax.

A $220.00 purchase totals $214.00 with tax.

Answers

Answer:

I think its c but I'm not sure. You need to ask a professional.

Step-by-step explanation:

1) A box contains 6 red marbles, 10 black marbles, 4 green marbles, and 2 white marbles. One
marble is drawn randomly. What is the probability that it is black or white marble?

Answers

Answer:

The probability of a white marble or black marble being drawn is 12/22.

Step-by-step explanation:

First, add all the marbles together.

6 + 10 + 4 + 2 = 22

10 + 2 = 12

= 12/22

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

PLEASE HELP ME I need the answer asap cause my grade is low and this determines my final.

Answers

Answer:

i cant see the graph zoom in

Step-by-step explanation:

Answer:

I'm sure it's 2/3

Step-by-step explanation:

the slope is positive and it rises up 2 and over 3

3/5 c = 9 what is the answer

Answers

C=15, look at picture for work

The school carnival has a booth of where people can win prizes by guessing the correct number of items in different sized jars just by looking at them. Jessica really wants the cylinder shaped jar full of sour jawbreakers. What would get her closest to the correct number of jawbreakers without being disqualified from the contest?

Answers

Answer:

D

Step-by-step explanation:

At Harry’s discount handware everything is sold for 20% less than the price marked .if Harry buys tool kits for $80 what price should he mark them of he wants to make 20% profit on his cost

Answers

Answer is D-$120

20% of $80=16
so, the selling price=80+16=$96
Let, by the mark price of 20% profit=x
so, x-(20% of x)=96
or, x-x/5=96
or, x= (96*5)/4
or, x=$120 (Ans)

plz help! will give brainliest!

Answers

x^6

When multiplying numbers in exponential form, if the number is the same, you can simply add the exponents:

x^2 * x^4 = x^(2+4) = x^6

help please!!!!!!!!!!​

Answers

Answer:

x=3

y=5

Step-by-step explanation:

5x+3(0) The y is zero because in the x-intercept the y is zero (same for x)

5/5x=15/5

x=3

5(0)+3y=15

3/3y=15/3

y=5

Question in picture below will give brainly

Answers

Answer:

only student ll (2)

Step-by-step explanation:

g(x)=3x-5 find g(-2)

Answers

Answer:

g(2) = -11

Step-by-step explanation:

So, g(-2), basically meaning that x = -2.

Since we know that, we need to plug -2 into all of the x's.

g(2) = 3(-2) - 5

g(2) = -6 - 5

g(2) = -11

The required value of g(2) would be -11.

What are the functions?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function is given in the question following as:

g(x) = 3x-5

We have to determine the value of g(2) to the given function.

As per the given question, we have

⇒ g(x) = 3x-5

So, g(-2), this meaning that x = -2.

Now, substitute the value of x = -2 in the given function,

⇒ g(2) = 3(-2) - 5

⇒ g(2) = -6 - 5

Apply the addition operation, and we get

⇒ g(2) = -11

Therefore, the required value of g(2) would be -11.

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Simplest form of -1 5/8 divided by 5 8/9

Answers

Answer:

the answer is -117/424, hope this helps :)

In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.

Answers

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}









y=−7x+3
y=−x−3

Answers

Answer:

(1,-4)

Step-by-step explanation:

Given:

y = −7x+3

y = −x−3

Computation:

y = −7x+3......eq1

y = −x−3.......eq2

Eq 1 - 2

-6x + 6 = 0

x = 1

So,

y = −7x+3

y = −7(1)+3

y = -4

So,

(1,-4)

Exercice1
1. Montrer que 5 et-3 sont des diviseurs de -15.
2. Montrer que pour tout entier naturel n, l'entier naturel n + 1 est un diviseur de l'entier n? - 1.
Exercice2
Pour tout entier relatif p, N = 2p? +4p-16 est-il un entier pair?
Exercice3
Sur le site touristique de Carnac, trois parcours en train sont proposés : circuit
court de 12 min en train vert, circuit standard de 21 min en train bleu, circuit long de
42 minutes en train rouge. Le départ se fait simultanément à 14 h. Une famille nom-
breuse ne réussit pas à trouver de la place ensemble et décide d'attendre la prochaine
occasion de prendre un train au choix.
Aquelle heure faut-il revenir au plus tôt pour avoir à nouveau le choix des trois trains ?
Svp aidez moi !

Answers

Step-by-step explanation:

step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out

Which statement best describes a unit rate?

1. John drove 350 miles in 5 hours

2. John drove 10 miles

3. John drove a car and a motorcycle

4. John drove 25 miles in 1 hour

Answers

Answer:

4. John drove 25 miles in 1 hour

Step-by-step explanation:

The unit rate is the number of something per unit. There should be a first number and the second number should always be 1.

The statement which best describes a unit rate is John drove 25 miles in 1 hour .

What is unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

According to the question

Best describes a unit rate is that which have second term as 1 unit

So,

Only John drove 25 miles in 1 hour satisfy the condition ,

Hence, The statement which best describes a unit rate is John drove 25 miles in 1 hour .

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a grandfather is nine times older than his granddaughter. in 8 years the grandfather will be five times older than his granddaughter how old is each of them now?

Answers

Answer:

Grandfather is 72 and granddaughter is 8

Step-by-step explanation:

f is grandfather and d is granddaughter.

f = 9d

f+8 = 5(d+8)

9d+8=5d+40

4d=32

d=8

f=9*8=72

Answer:

the grandpa is 72 the little girl is 8

Step-by-step explanation:

A surveyor is trying to find the length of a lake. He finds a baseline distance AB of 125 m. Angle A is measured to be 41.6° and angle B is measured at 124.3°. Find the length of the lake d. Please and Thank you.

Answers

Answer:

[tex]d = 340.7m[/tex]

Step-by-step explanation:

See attachment for question illustration

From the attachment, we have:

[tex]AB = 125m[/tex]

[tex]<A = 41.6[/tex]

[tex]<B = 124.3[/tex]

Required

Solve d

First, we need to calculate <C

[tex]<A + <B + <C = 180[/tex] --- angles in a triangle

[tex]41.6+ 124.3 + <C = 180[/tex]

[tex]165.9+ <C = 180[/tex]

Make <C the subject

[tex]<C = 180 - 165.9[/tex]

[tex]<C = 14.1[/tex]

Next, we apply Sine's law to solve for d

[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]

In this case:

[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]

Make d the subject

[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]

[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]

[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]

[tex]d = 340.663639629[/tex]

[tex]d = 340.7m[/tex]

Hence, the base of the lake is approximately 340.7m

A tax deduction helps lower one's taxes, bit how does it do it?

A) a tax deduction increases one's income

b) a tax deduction lowers one's taxable income aking less tax due

c) a tax deduction lowers the percentage of sales tax for those with lower income

d) a tax deduction lowers the percentage of sales tax for those with lower income​

Answers

Answer is B because I learned it in school

Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon choose 

Answers

Answer:

4 5 and 20

Step-by-step explanation:

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!

Answers

The first option is correct. See an explanation below.

The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the center of the circle be P ( -4 , 9 )

Let the diameter of the circle be d = 10 units

So , the radius of the circle r = d/2 = 5 units

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

So , the equation of circle is

( x + 4 )² + ( y - 9 )² = 25

Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25

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If h(x)= -4x-10, find h(-5).

Answers

Answer:

h= −4x−10/x

Step-by-step explanation:

Which expressions are equivalent to 6a(5+d) ?

Select each correct answer.


30a+6ad

30ad

30a+(6a⋅d)

(6a⋅5)+(6a⋅d)

11a + d

Answers

Answer: A is correct i think

Step-by-step explanation:  6a x 5 = 30a

                                              6a x d = 6ad

Answer:

A

Step-by-step explanation:

RENT? GIVE ME RENT If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe

Answers

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

b) The ratio 3:5 can be written in the form 1:n
Choose n from the following.
a 5/3
b 1/5
c 3/5
d 1/3​

Answers

Answer:

Answer: a 5/3

Step-by-step explanation:

Ratios as Fractions

The ratio 3:5 can be expressed as the fraction

[tex]\frac{3}{5}[/tex]

If we wanted to express the ratio in the form 1:n, we can manipulate the fraction in such a way that it has the number 1 in the numerator.

Dividing numerator and denominator by 3:

[tex]\displaystyle \frac{\frac{3}{3}}{\frac{5}{3}}[/tex]

Simplifying:

[tex]\displaystyle \frac{1}{\frac{5}{3}}[/tex]

Thus, the fraction represents the ratio:

[tex]1:(\frac{5}{3})[/tex]

[tex]Thus, n=\frac{5}{3}[/tex]

Answer: a 5/3

i really need help asap

Answers

Answer:

-7=k

Step-by-step explanation:

5k-3k-2=-16

2k-2=-16

2k=-14

k=-7

k= -7 should be the answer !
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