To test the effectiveness of an exercise program in reducing high blood pressure, 15 participants had their blood pressures recorded before beginning the program and again after completing the program. The difference (after minus before) in blood pressure was recorded for each participant, and the sample mean difference was calculated. A hypothesis test will be conducted to investigate whether there is convincing statistical evidence for a reduction in blood pressure for all who complete the program. Which of the following is the correct set of hypotheses?
A. H0 : bar xD = 0
Ha : bar xD is not equal to 0
B. H0 : bar xD = 0
Ha : bar xD > 0
C. H0 : mu D = 0
Ha : mu D is not equal to 0
D. H0 : mu D = 0
Ha : mu D > 0
E. H0 : mu D = 0
Ha : mu d < 0

Answers

Answer 1

Answer:

E.

H0 : mu D = 0

Ha : mu d < 0

Step-by-step explanation:

The hypothesis is to test if there is a reduction in blood pressure for those who complete the program, this means if the mean difference in blood pressure (that is after - before) is less than 0. Here, the hypothesis is the alternative side while the opposite, that is, there is no difference in blood pressure before and after is the null.

This means :

H0 : μD = 0

Ha : μD < 0

Answer 2

You can use the definitions for null and alternate hypotheses  

The correct set of hypothesis is given by:

Option E.  [tex]H_0: \mu_D = 0[/tex]

[tex]H_a: \mu_D < 0[/tex]

How to form the hypotheses?

There are two hypotheses. First one is  called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

How to find the correct set of hypothesis for the given situation?

Since the test is to test the effectiveness of the exercise program, thus the wish of the tester is to get the result that effectiveness is there. This will be the alternate hypothesis and the null hypothesis will be that there is no difference in the blood pressure before and after the exercise. Thus, we will test against the null hypothesis.

Since the evidence is to be found for all of the people who completed the program, thus it is hypothesis about population perimeter. The average blood pressure difference of the population is denoted by [tex]\mu_D[/tex] and that of the sample is denoted by [tex]\overline{x}_D[/tex]

Thus, we have:

Null hypothesis = the difference in average blood pressure before and after the program of the population is not changed(thus 0 is the difference) = [tex]H_0: \mu_D = 0[/tex]

Alternate hypothesis = the difference in average blood pressure is reduced(since the test is for seeing if the blood pressure is reduced or not) = [tex]H_a: \mu_D < 0[/tex]

Thus,

The correct set of hypothesis is given by:

Option E.  [tex]H_0: \mu_D = 0[/tex]

[tex]H_a: \mu_D < 0[/tex]

Learn more about null and alternative hypothesis here:

https://brainly.com/question/18831983


Related Questions

If I invest $600 at an 11.5% interest rate, how much money will I earn over 5 years? A. $945 B. $345 C. $69 D. $34.50

Answers

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

Answer:

a

Step-by-step explanation:

The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters

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Answer: 1= A/w

Step-by-step explanation:

please solve this 2 step equation, thank you!

p - 9 / 3 = 2

Answers

Answer:

the answers is =5

someone help me plsssssss

Answers

Answer:

i believe b if not b im sorry

Step-by-step explanation:

what is 0.46 as a fraction in simplest form, a fraction of 100, and a percent​

Answers

Answer:

46/100

23/50

46%

Answer:

bleh

Step-by-step explanation:

so that da other guy can get brainliest

3x -5x + 8x = 4x + 18

Answers

Answer:

x = 9

Step-by-step explanation:

6x = 4x + 18

6x - 4x = 18

2x = 18

x = 9

Answer:

-9

Step-by-step explanation:

3x−5x+8x=4x+18

Step 1: Simplify both sides of the equation.

3x−5x+8x=4x+18

3x+−5x+8x=4x+18

(3x+−5x+8x)=4x+18(Combine Like Terms)

6x=4x+18

6x=4x+18

Step 2: Subtract 4x from both sides.

6x−4x=4x+18−4x

2x=18

Step 3: Divide both sides by 2.

2x

2

=

18

2

If a man is driving at a rate of 50 km per hour, how many kilometers will he travel in 30 minutes? A. 25 km B. 30 km C. 150 km D. 180 km

Answers

Answer:

A. 25 km

Step-by-step explanation:

1 hour = 60 minutes

30 minutes is a half of an hour, therefore

50 / 2 = 25

Answer:

a, 25km

Step-by-step explanation:

i dont need brainliest but thx

im jamming to rick astley right now its so fun

Which of the following choices describes the sequence 12, 17, 22, 27, 32,…?
A. each term has two more than the previous term
B. each term has five more than the previous term
C. each term is twice the previous term
D. None of these choices are correct.

Answers

Each term has five more than the previous term

12+5=17

(a) Calculate the mean, median, and mode of the data.
If your answer is not a whole number, enter it as number rounded to the nearest integer.
Mean =
60
Median =
60
Mode = 61
(b) What measure of central tendency, if any, best represents the data?
Mean
Median
Mode
All three represent the data equally well

Answers

Answer:

Step-by-step explanation:

what you see mode mean median;what i see the moleecur stricture of 4dsn_eix+dwk x sjsw39i4

I think it would be mean as it gives you the average answer, most likely being the most accurate.

The distance from New York City to Riverhead is approximately 150 miles. On a map whose scale is 24mi= 2inch, what is the distance between the two locations in inches?​

Answers

Answer:

12.5 inches

Step-by-step explanation:

To best find this answer, we should set up a proportion. Our first fraction is practically given to us in the problem, and would look like this:

[tex]\frac{2in}{24mi}[/tex]

Next, we need to set up our second fraction. An important thing to make sure of is that the 150 is on the same side as the 24 since they are both miles. Here is what the final equation should look like:

[tex]\frac{2in}{24mi} = \frac{x}{150mi}[/tex]

To solve, just cross multiply and divide! First, multiply 2 by 150, giving you 300. Next, just divide the 300 by the remaining 24, giving you a final answer of 12.5 inches. Here's what the final calculations look like:

2in X 150mi = 300

300 / 24mi = 12.5in

Answer:

12.5 inches is your answer

which is the better price?

$5.36 for 20 oz.

or $9.27 for 48 oz.

Answers

Answer:

$9.27 for 48 oz.

[7TH GRADE MATH] Can someone please explain how to round a square root to the tenth place without using a calculator.

(I WILL BE GIVING BRAINLIEST!!!!)

Answers

Answer:

Step-by-step explanation: To find a decimal approximation to, say √2, first make an initial guess, then square the guess, and depending how close you got, improve your guess. Since this method involves squaring the guess (multiplying the number times itself), it uses the actual definition of square root, and so can be very helpful in teaching the concept of square root.

Example: what is square root of 20?

You can start out by noting that since √16 = 4 and √25 = 5, then √20 must be between 4 and 5.

Then make a guess for √20; let's say for example that it is 4.5. Square that, see if the result is over or under 20, and improve your guess based on that. Repeat this process until you have the desired accuracy (amount of decimals). It's that simple and can be a nice experiment for students!

Answer:

The number’s square root is a number that, when multiplied by itself, equals the first number. Another way of saying this is: “What can we multiply by itself to get the number in question?”

Step-by-step explanation:

For example, the square root of 1 is 1 because 1 multiplied by 1 equals 1 (1X1=1). However, the square root of 4 is 2 because 2 multiplied by 2 equals 4 (2X2=4). Think of the square root concept by imagining a tree. A tree grows from an acorn. Thus, it’s bigger than but related to the acorn, which was at its root. In the above example, 4 is the tree, and 2 is the acorn.

Thus, the square root of 9 is 3 (3X3=9), of 16 is 4 (4X4=16), of 25 is 5 (5X5=25), of 36 is 6 (6X6=36), of 49 is 7 (7X7=49), or 64 is 8 (8X8=64), of 81 is 9 (9X9=81), and of 100 is 10 (10X10=100).[1]

The graphs below have the same shape. What is the equation of the blue graph? 

Answers

Answer:

c

Step-by-step explanation:

Anybody know how to do this??

Answers

Answer:

Second option: x= (23.5)(1.18)

Step-by-step explanation:

It has the total and the 1 for the tip to include the original price.

Answer:

option 2:- x= (23.5)(1.18)

Step-by-step explanation:

it includes the whole amount plus the tip to be paid after dinner..

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1051 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 4.7. It is assumed that the two tests measure the same aptitude, but use different scales.

Required:
a. If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1563, find the equivalent ACT score.

Answers

Answer:

The answer is "1110, 20.4, and 31.408"

Step-by-step explanation:

For point a:

Given:

[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]

Calculating the SAT score:

[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]

For point b:  

Given:

[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]

Calculating the equivalent ACT score:

[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]  

For point c:

[tex]\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\[/tex]

Calculating equivalent ACT score:

[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]

Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x

F(3) + G(4) - 2H(5) =

Answers

Answer:

These are functions, you must operate accordingly

Step-by-step explanation:

is the 2 in 3x2 an exponent

if it is the answer is 81

2. In the figure, is an exterior angle to triangle .

(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
Answer:

PLZ JUST SHOW YOUR WORK ON A PICE OF PAPER AND PLZ LABLE THEM A, B, C, D IF YOU DO U WILL BR MARKED BRAINLY'S.

Answers

Answer:a

Step-by-step explanation:

⇒ d + e + f = b + a + a + c + b + c

⇒ d +e + f = 2a + 2b + 2c

= 2(a + b + c)

But, according to triangle angle sum theorem,

a + b + c = 180 degrees

Therefore, ⇒ d +e + f = 2(180°)

= 360°

Answer:

I only know a and b so don't hate me...

Step-by-step explanation:

Part A)

 Angle 3 is 103° because 77° + ∠3= 180° and  ∠3 = 180° - 77° = 103°

Part B)

Angle 4 is 77° because ∠3 + ∠4 = 180° and  ∠4 = 180° - 103° = 77°

A: l = h - 7.0
B: l= 9/16h
C:h = 9/16L
D:h = L - 7.0

Answers

Answer:

A

Step-by-step explanation: The answer is A

Solve the Antiderivative.​

Answers

Ln ( | Sec (e^x + π) + tan ( e^x +π ) | )

Answer:

I got the same as the top so I think that's the answer

rename 2 6/12 as a mixed number with a fraction greater than 1.

Answers

2 6/12 renamed as 2 1/2

1
4 adult elephants weigh
6
tons. How much does just one of the elephants weigh?

Answers

Answer: 86

Step-by-step explanation:

14 times 6 = 86

1. Evaluate the expression when b = 24.3
10 + b

HELP!!! I have no clue!!! Please help

Answers

evaluated expression is 34.3

Write the system of equations in slope intercept form.
Show ALL of your work!
y + 2x = 0
2y = -2 - 6

Answers

2x+y=0
y=-4

(x is 2 y is -4)

In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?

Answers

Step-by-step explanation:

✰ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} : [/tex]

AD = 15 , AB = 8 , [tex] \angle[/tex] DAB

✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} : [/tex]

Height & Area of the given parallelogram

✰ [tex] \underline{ \underline{ \large{ \tt{S \: O

\: L \: U \: T\: I\: O \: N}}}} : [/tex]

In right angled triangle ABE :

Hypotenuse ( h ) = 8Perpendicular ( p ) = h [ height ][tex] \theta[/tex] = 20°

Now , Using trigonometric ratio :

[tex] \large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}[/tex]

Plug the known values :

⟶ [tex] \large{ \tt{ Sin(20) = \frac{h}{8} }}[/tex]

⟶ [tex] \large{ \tt{0.34 = \frac{h}{8}}} [/tex]

⟶ [tex] \large{ \tt{h = 0.34 \times 8}}[/tex]

⟶ [tex] \large{ \tt{h = 2.72}}[/tex]

Now , We have :

Base ( b ) = 15Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ [tex] \underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}[/tex]

⟶ [tex] \large{ \tt{A = 15 *2.72}}[/tex]

⟶ [tex] \large{ \tt{A = 40.8 \: {units}^{2} }}[/tex]

Hence , Our final answer :

[tex] \large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}[/tex]

[tex] \large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

A company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.

If they offer a 2 year extended warranty for $11, what is the company's expected value of each warranty sold?

Answers

Answer:

The company is expected to make [tex]\$ 1[/tex] on every extended warranty sold.

Step-by-step explanation:

Let [tex]X[/tex] denote whether a product with the extended warranty requires replacement in that two years. ([tex]X\![/tex] would be a random variable.) Assume that [tex]X = 1[/tex] means that the product requires replacement, and [tex]X = 0[/tex] otherwise.

Assume that this product requires replacement in that two years. That is: [tex]X = 1[/tex]. The company would then bear a cost of [tex]200 \times 1 =200[/tex] for replacing this product (since [tex]X = 1\![/tex], that cost would be the same as [tex]200 = 200 \times 1 = 200\, X[/tex].)

On the other hand, assume [tex]X = 0[/tex] (that is: this product does not require replacement in that two years.) The company would not need to pay for replacing this product. Since [tex]X = 0\![/tex], the expression [tex]200\, X[/tex] would still represent the cost for the company for this warranty.  

Either way, [tex]200\, X[/tex] would denote the replacement cost that the company would bear for this product. However, given that the company would charge [tex]\$ 11[/tex] for the extended warranty, the net revenue of the company on this warranty would be [tex]((-200) \, X + 11)[/tex]. (An earning of [tex]\$11 \![/tex] minus a spending of [tex]200\, X \![/tex].)

The question states that [tex]0.5\%[/tex] of the products would need replacement in this period. In other words, the expected value of [tex]X[/tex] would be [tex]\mathbb{E}(X) = 0.005[/tex].

The expected revenue of the company on this warranty would be:

[tex]\mathbb{E}(200\, X + 11)[/tex].

Apply the linearity of expected values to find the value of [tex]\mathbb{E}(200\, X + 11)[/tex]:

[tex]\begin{aligned}& \mathbb{E}((-200)\, X + 11) \\ &= (-200)\, \mathbb{E}(X) + 11 \\ &= (-200) \times 0.005 + 11 = 1\end{aligned}[/tex].

Hence, the company is expected to make [tex]\$ 1[/tex] on every extended warranty that it sold.

HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST

Answers

i would say line t !!
it goes through both lines not just one.

Line passes through (-5,3) and (-6,-1). Line B passes through (3,-2) and (2,-7). Are the lines parallel? Explain.

Answers

Answer:

No they are not parallel.  

Step-by-step explanation:

You have to figure out the slopes of each set of points. For  (-5,3) and (-6,-1) the slope is 4 and for  (3,-2) and (2,-7) the slope is 5. You can only have parallel lines if the slope is same and the y- ints are different. Here the slopes aren't same.

Sorry If im wrong. Hope this helps!

The two given lines are not parallel.

What is the slope of a line which passes through points ( p,q) and (x,y)?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

We are given that;

The points= (-5,3) and (-6,-1),  (3,-2) and (2,-7)

Now,

For line A, let’s use (-5, 3) and (-6, -1) as the two points. Plugging these values into the formula, we get:

m = (-1 - 3) / (-6 - (-5)) = -4 / -1 = 4

So, the slope of line A is 4.

For line B, let’s use (3, -2) and (2, -7) as the two points. Plugging these values into the formula, we get:

m = (-7 - (-2)) / (2 - 3) = -5 / -1 = 5

Hence, the slope of line B is 5.

Since the slopes of line A and line B are not equal (4 ≠ 5),

Therefore, by the slope the answer will be they are not parallel.

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ3

Please answer fast I need the Answer

Answers

Answer:

just do it urself

Step-by-step explanation:

Find the Area: 12 ft 12 ft​

Answers

a=12 ft

Po=(0.25×π×a²)

Pc=a²+0.5×Po

Pc=a²+0.5×(0.25×π×a²)

Pc=a²×(1+0.5×0.25×π)

Pc=a²×(1+0.5×0.25×π)

Pc=144×(1+0.5×0.25×π)

Pc≈200.55 ft²

cinco ejemplos de incremento​

Answers

Answer:

Ejemplos de incremento matemático que pueden ocurrir son:

-Suma: se adiciona una cantidad adicional a otra previamente existente. Ejemplo: 5 + 2 = 7, donde 5 es la cantidad inicial, y 2 es la cantidad adicional, sumando 7 como cantidad final.

-Multiplicación: aquí se adiciona el mismo número inicial tantas veces como su multiplicador indique. Ejemplo: 5 x 3 = 15, donde el número inicial 5 es sumado 3 veces (5 + 5 + 5) para dar un total de 15.

-Potenciación: en este caso se multiplica el mismo número por sí, por la cantidad de veces que indique el número potenciador. Ejemplo: 7^2, donde 7 es multiplicado por 7 dos veces, es decir, 7 x 7, cuyo resultado es 49.

Así, cinco ejemplos de este tipo de operaciones pueden ser:

6^3 = 216

4x4 = 16

25+90 = 115

77 + 2x8 = 93

88 + 14 = 102

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