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

-2.5(4w-4)= -6 and check​

Answers

Answer:

y=60

Step-by-step explanation:

(100 points if answered) (attatched screenshot) Algebra II need question 1 and 2

Answers

Domain: (-♾,2)U(2,♾), {x | x ≠2}
Range: (-♾,3) U(3,♾), {y | y ≠ 3}

Sorry that’s all I can help with


HELP!

during a back to school sale, a store sold jeans at a 25% discount. if one pair of jeans originally cost $35, what was its price during the sale?

Answers

Answer:

15$

Step-by-step explanation:

hope this helped

Answer:

35*0.25= 8.75 (multiply by the discount converted into a decimal)

35- 8.75= 26.25  (subtract that from the original to find the discount price)

or

35* 0.75= 26.25 (multiply by the percentage of the original price that you bought the jeans at)

Step-by-step explanation:

either way the answer is $26.25 is the discounted price

if the nth term of a sequence is n^2 -3, find the first 3 terms and the 10th term.

Answers

Answer: -2, 1, 6,...97

Step-by-step explanation:

1st term: 1^2 - 3 = -2

1^2 = 1

1-3=-2

2nd term: 2^2-3 = 1

2^2 = 4

4-3=1

3rd term: 3^2-3 = 6

3^2 = 9

9 -3 = 6

10th term: 10^2-3 = 97

10^2 = 100

100-3=97

Evaluate 32 divided by 1.6
show work

Answers

Answer:

20

Step-by-step explanation:

32/1.6= 20

How do you want me to show the work? Long division?

Answer:

20

Step-by-step explanation:

Idk how you want me to show the work, sorry. The formatting will be weird unless I attach a pic or something

The height in feet (h) of the ball t seconds after it is released can
be modeled using the formula: – 16t^2 + 10t + 6 = h
Find the time, in seconds, passed before the ball hits the ground
(let h = 0).*
*PLEASE SHOW WORKK

Answers

Step-by-step explanation:

h = -16t² + 10t + 6

When h = 0, -16t² + 10t + 6 = 0.

=> -8t² + 5t + 3 = 0

=> (-8t - 3)(t - 1) = 0

=> t = 1 or t = -3/8 (rejected as time cannot be negative)

Hence 1 second passed before the ball hits the ground.

Charlie can run 2 laps every 10 minutes and 4 laps every 28 minutes. How long will it take for Charlie to run 3 laps.

Answers

Answer:

19min

Step-by-step explanation:

Kevin and his children went into a restaurant and he bought 31.50

Answers

um kevin bought 31.50 of what? food?

Function or Non-Function

Answers

Answer:

2 is not a function.

3 is a function

Step-by-step explanation:

one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function

Helpppppppppppp!!!!!!!!!

Answers

Answer: The answer is D. 1/16

Step-by-step explanation: If you think about it, 2 to the 4th power is 16. But in this situation, you have a negative exponent. To solve an exponent situation with a negative situation, put a 1 as the numerator and put the answer of the expression but with the exponent's positive value as the denominator. Hope this helps :D

if 2x = 10
find the value of x​

Answers

Answer:

5

Step-by-step explanation:

Divide both sides by 2.

Answer:

x=5

Step-by-step explanation:

2x=10

Divide 2 from the other side to isolate the variable.

x=5

a.

[tex] \cot^{2} - \cos ^2a = \cot ^{2} a \times \cos ^{2} a[/tex]

Answers

Step-by-step explanation:

We need to prove that,

[tex]\cot^2 a-\cos^2 a=\cot^2 a\times \cos^2 a[/tex]

Taking LHS,

[tex]\cot^2 a-\cos^2 a[/tex]

We know that,

[tex]\cot a=\dfrac{\cos a}{\sin a}[/tex]

​[tex]=(\dfrac{\cos a}{\sin a})^2 -\cos^2 a\\\\=\cos^2 a(\dfrac{1}{\sin^2 a}-1)\\\\=\cos^2 a(\dfrac{1-\sin^2a}{\sin^2 a})\\\\=\cos^2 a\times \dfrac{\cos^2 a}{\sin^2 a}\\\\=\dfrac{\cos ^2 a}{\sin^2 a}\times \cos^2a\\\\\because \ \dfrac{\cos ^2 a}{\sin^2 a}=\cot^2 a\\\\=\cot^2 a \times \cos^2a\\\\=RHS[/tex]

So, LHS = RHS

Hence, proved.

Geometry B Final Name Date Period Name the relationship. complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior 1 2) 3) 4) 5) 6) 7) 8)​

Answers

Answer:

but we can't write all the answers here

Answer:

Step-by-step explanation:

1. complementary

2. alt ext

3. supplementary

4. corresponding

5. b=65

6. 34

7. x=7

8.x=18

convert 53 yards per hour into inches per day

Answers

1 yard = 36 inches.

53 yards per hour x 36 inches per yard = 1908 inches per hour.

1 day = 24 hours.

1908 inches per hour x 24 hours = 45,792 inches per day.

Lee drank 1 2/3 quarts water Monday. He drank 2/5 water Tuesday. How amny quarts did he drink today?

Answers

Answer:

Lee drank 31/15 qt. of water (2 1/15 qt. as a mixed number, or approximately 20.07 qt. as a decimal).

Step-by-step explanation:

To add and subtract fractions, a least common denominator needs to be found. But first, to make it easier, mixed numbers should be replaced with improper fractions. So, Lee drank 5/3 qt. of water.

Now to find the LCD (least common denominator), the denominators of each fraction should be multiplied by 1, then 2, then 3, etc until a product of one fraction is the same as that of another (as shown):

For 2/5, the denominator is 5, so 5*1 = 5, 5*2 = 10, 5*3 = 15...

For 5/3, the denominator is 3, so 3*1 = 3, 3*2 = 6, 3*3 = 9, 3*3 = 4, 3*5 = 15...

15 is the LCD, since both denominators can be multiplied by a whole number for a product of 15.

Now, each fraction is multiplied by 1, by multiplying each fractions numerators and denominators by the number found previously that causes the denominator to equal 15:

For 2/5, 5*3 = 15, so both 2 and 5 are multiplied by 3

        2* 3 = 6, 5 * 3 = 15, so 2/5 = 6/15

For 5/3, 3*5 = 15, so both 5 and 3 are multiplied by 5

        5* 5 = 25, 3 * 5 = 15, so 5/3 = 25/15

Now these fractions can easily be added or subtracted by performing these operations on their numerators. Sonia drank 6/15 qt. more than Lee, so she drank 6/15 + 25/15 qt. of water, or 31/15 qt.

Step-by-step explanation:

Hugo is saving for a new baseball glove. He saves $10 the first week, and $6 each week for the next 6 weeks. The expression 10+6 with the power of 2 represents the total amount in dollars he has saved. What is the total amount Hugo has saved?

Answers

Answer$46

Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.

The area of the rectangle is 64.8 square centimeters. What is the perimeter of the rectangle? 10cm and 8cm​

Answers

10cm + 10cm + 8cm + 8cm = 36cm

The perimeter of the given rectangle is 32.2 cm.

What is a perimeter?

The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Given that, The area of the rectangle is 64.8 square centimetres.

Area = l*w

l*w = 64.8

l = 64.8/w

Perimeter = 2(l+w)

= 2(64.8/w+w)

= 129.6/w +2w

We take the derivative of P and set it to 0,

dP = -129.6/w²+2

-129.6/w²+2 = 0

129.6/w² = 2

2w² = 129.6

w² = 64.8

w = 8.05

Now, we have,

l = 64.8/w

∴ l = 64.8/8.05 = 8.05

The perimeter = 2(l+w)

= 2(8.05+8.05)

= 2*16.10

= 32.2 cm

Hence, The perimeter of the given rectangle is 32.2 cm.

For more references on perimeters, click;

https://brainly.com/question/6465134

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Victoria wants to purchase a skateboard. She finds it regularly sells for $139.99 and is on sale for 15% off.
What is the final cost of the skateboard?
Write your answer in steps: (Explain how you solved it)

Answers

Answer:

118.99

Step-by-step explanation: 15% off so you're only gonna pay 85% of  139.99. so 139.99 times 85% is 118.99

Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of
$42,000. Their down payment is what percent of the purchase price? What percent of the purchase
price would a $49,000 down payment be?
Their down payment is % of the purchase price.

Answers

Answer:

their down payment is 30%

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the price of the apartment is 140,000 dollars

lets find out how much is 1%

140,000/100=1400

42,000/1400=30  

42,000 is 30% of the apt price

49,000/1400=35

49,000 is 35% of the apt price

f(x) = 2x + 3 and
g(x) = -3x + 1
f(4) + g(-2)=?

Answers

This is your perfect answer

Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?

Answers

Answer:

30%

Step-by-step explanation:

3.25 minus 2.50 equals 0.75. 0.75 is 30 percent of 2.50.

Write the mixed number as a percent.
4 7/500

Answers

Answer:

4 7/500 as a percent is 401.4%

The mixed fraction [tex]4\frac{7}{500}[/tex] can be represent as 401%.

What is fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Fraction : 4 7/500

Now, writing the fraction in normal fraction form

= 4 7/500

= 2007/500

Now, to convert into percent

= 2007/ 500 x 100

= 2007/ 5

= 401%

Learn more about fraction here:

https://brainly.com/question/10354322

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1. An iPhone is on sale for $780. It originally cost $1000.00. What is the percent of change?

Answers

Answer:

your answer is going to be 220.

My head is hurting can you help me

It’s 16 points

Answers

Answer:

-6, -4

Step-by-step explanation:

If you flip the shape over the Y axis you can see

A new window costs $600 plus VAT 20%. How much is the total bill?

Answers

Answer:

720

Step-by-step explanation:

600*.2=120

120+600

720

Answer:

720 dollars

Step-by-step explanation:

find 20% of 600 dollars

[tex]\frac{20}{100} * 600[/tex]

= 120 dollars

600 + 120

= 720

I hope this helped!

please mark me as brainliest

Solve x^2 +13x+12=0 Please answer this

Answers

Answer:

x=−1 or x=−12

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+13x+12=0

Step 1: Factor left side of equation.

(x+1)(x+12)=0

Step 2: Set factors equal to 0.

x+1=0 or x+12=0

x=−1 or x=−12

Answer:

Solution

=

1

=

1

2

Step-by-step explanation:

I'm not 100 % sure about my answer

Ryan's dog weighs 50 pounds, and Mark's dog weighs p pounds. Which expression shows their combined weight? A. 50 × p B. 50 + p C. 50 ÷ p D. 50 - p

Answers

Answer:

B, 50 + p.

Step-by-step explanation:

To combine their weight, you would add them together. B is the only answer that uses addition.

giving brainly !! if u help me

Answers

1. The goal to solving an equation is finding the solution.
3. You need to subtract 1 from both sides.
4. I think you would add 5 to both sides? Not totally sure.
5. Subtract 5 from both sides.
6. The parentheses, you need to distribute the negative three.

Sorry I don’t know the answer to question two.....

If f(x)=34x+56 , what is f(12)?

Answers

Answer:

f(x)= 34x +56      34(12) +56=464

Step-by-step explanation:

what’s the answer to this ?

Answers

Answer:

the answer should be [tex]-20.2m - 11.8[/tex]

Step-by-step explanation:

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