A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)

Answers

Answer 1

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]

For sample 2:

[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]

Calculating the null and alternative hypotheses:

[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]  

Calculating the test statistic:

[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]

Calculating the conservative degrees of freedom:

[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]

by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].

[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]


Related Questions

I need the answers 5-8

Answers

-3 because you could change it to 5+ -8 and that would be -3

(1/2)x x 3/43=


Pls im so close for finishing 20 POINTS

Answers

3/86 I believe because; 1/2 x 3/43 = 1x3 and 2x43 as denominator = 3/86 MULTIPLY both numerators and denominators.

Answer:

It's 3[tex]x^{2}[/tex]/86

hope this helps:)

Write an equation for this word
sentence: one third of a number
equals 9.

Hurry plsss

Answers

Answer:I believe D

Step-by-step explanation: Hope you get it right

44444444444444 help me ples

Answers

Answer:

a

Step-by-step explanation:

Which situation CANNOT be represented by this equation? 6−7=29 6 x - 7 = 29 CLEAR CHECK Joel earns $7 $ 7 per hour to mow his aunt's lawn. If he spends $6 $ 6 on gas, how many hours, x , will he need to mow to have $29 $ 29 left? Joel mows his aunt's lawn for $6 $ 6 per hour. If he spends $7 $ 7 on gas, how many hours, x , will he need to spend mowing the lawn to have $29 $ 29 left? Joel takes 6 6 hours to mow his aunt's lawn. If he spends $7 $ 7 on gas, how much does he get paid per hour, x , to mow the lawn and still have $29 $ 29 left?

Answers

Answer:

Joel earns $7 per hour to mow his aunt's lawn. If he spends $6 on gas, how many hours, x , will he need to mow to have $ 29 left?

Step-by-step explanation:

The given equation is :

6x - 7 = 29

It is given that total hours be = x

Joel earns $7  per hour, so the total earning of Joel in x hours is = $ 7x

He spends $6 on gas, so = 7x - 6

He is left with $ 29 after spending on gas.

Therefore, the equation becomes :

7x - 6 = 29

Clearly, it can be seen that in this case, the given situation cannot be represented by the given equation, i.e. 6x - 7 = 29.

Find the factor form for each problem. (Show work)

1. 12x²+8x

2. 2x²-16x

Answers

Step-by-step explanation:

12x^2 + 8x

4x ( 3x + 2)

2x^2 - 16x

2x ( x - 8)

I need help pls is due today

Answers

Answer:

a) 1/2, 0.5, 50% b)3/4, 0.75, 75% c) 1/12, 0.08333, 8.333% d) 5/12, 41.6667%, 0.416

Step-by-step explanation:

Answer:

a] 1/2 b] 5/6 c] 1/6 d] 5/4

Step-by-step explanation:

no of even no present/total numbers and so on

try it later

2. Find mzR and mzS.
89°
R
157 T
Р

Answers

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

What is the median for the following data set? 5,7,9,11,13,13

A. 10
B. 8
C. 9
D. 11

Answers

The answer is C.9 because 9+4=13 and 9-4=5 hope this helps

Find the volume of the con round you answer to the nearest tenth

Answers

Answer:

16.76 inch³

Step-by-step explanation:

volume of cone is 1/3 πr²h

h=4

r=2

then 1/3* 22/7* 2*2 *4

=352/21

=16.76

From Monday through Friday Sydney works in the bookstore on one day and in the tutoring center where on another doing on Saturday and Sunday Sydney cooks food 50% of the days how many days does Sidney work in a week what percent of Monday through Friday does Sidney work

Answers

Answer: The other 50%

Step-by-step explanation:

how do you get the value of x7+8x+3-1+7

Answers

Answer:

first add the numbers that have the same variable s x7+8x=15x

then the numbers first add and then you subtract

1+7=8

3-8= -5

15x-5

Answer:

8x+x7+9

Step-by-step explanation:

subtracted one term from another

subtracted 1 from 3 to get 2

x7=+8x+2+7

add two terms together

add 2 and 7 toget 9

x7+8x+9

ANOTHERRR >: D
THANKS FOR ALL THE PEOPLE HELPINGG < 3

Answers

Answer: it C trust me it right & can you please mark me Brainliest

Step-by-step explanation: Hope this help :D

☁️ Answer ☁️

C, x < 4.

2/x −3< − 1

Multiply both sides of the equation by 2.

x−6< −2 (negative 2)

Add 6 to both sides.

x < (negative 2) −2 + 6

Add −2 and 6 to get 4.

x < 4

Hope it helps.

Have a nice day noona/hyung.

please help.I don’t understand

Answers

Answer:

y=13 degrees

Step-by-step explanation:

This is an isosceles triangle, we know this because NO and NM are equal.

In an isosceles triangle, the base angles are congruent. In this case, they are angle NOM and angle NMO.

We also know that the sum of the interior angles of a triangle are equal to 180.

With this information, we can make an equation by gathering all the interior angles:

8y+2(3y-1)=180

Solve for y.

8y+6y-2=180

14y-2=180

14y=182

y=13

Is 0.25 greater or less than 0.03?

Answers

Answer:

0.25 is greater than 0.03

Step-by-step explanation:

You can solve this simply by looking for the position of the decimal point.

For example, 0.30 is greater than 0.25, but 0.03 is less than 0.25

0.25  >  0.03

Answer:

Step-by-step explanation:

Two square posters are hanging on a wall. The large poster has an area of 144 square units, and the small poster has an area of 100 square units. How much bigger is the perimeter of the large poster than the perimeter of the small poster?

Answers

Answer:

8

Step-by-step explanation:

If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100

Answer:

Length= squre root of area

Length of big poster = squre root of 144

=12

Length of small poster=squre root of 100

=10

The perimeter = 4*length

Big poster perimeter=4*12=48

Small poster perimeter =4*10=40

The difference= 48 - 40 = 8

It is bigger by 8

PLEASE ANSWER THIS ASAP I WILL GIVE YOU 5 STARS AND BRAINLIEST

Answers

Answer:

1. d

2. c

3. b

4. f

5. a

6. e

Step-by-step explanation:

Good Luck

What is the product of 2x + 3 and 4x^2 - 5x + 6

Answers

Answer:

8

x

3

+

2

x

2

3

x

+

18

Step-by-step explanation:

simply the answer thought bc i didn't simplify

PLEASE HELP due in a few hours!!

Answers

Answer:

75 meters²

Step-by-step explanation:

4 cm= 5 m

12 cm= 15 m

15×5=75

Area of Patio=75 m²

A teacher is correcting a student's homework
assignment, but she cannot read one line of the
student's work. The student's work is shown
below, with a blank space representing the
missing line.
Step 1:
- 2x + 11 = -5
Step 2: -2x + 11 – 11 = -5 – 11
Step 3:
-2x = -16
Step 4:
Step 5:
1x = 8
Step 6:
x= 8
Which of the following represents the correct
Step 4 and the property that would be used to
justify the step?

Answers

step 4: -2x/-2 = -16/-2

Answer without Explanation:

B

Determine the surface area of a cereal box with these dimensions width: 3 inches length: 8 inches height: 12 inches

Answers

It’s 11 inches amd 12 ft but hola Sonora

Find the area of the semicircle. Round your answer to the nearest whole number, if necessary. semicircle 40cm

Answers

Answer:

Answer is NOT 126 CORRECT answer is 628

Step-by-step explanation

First you divide 40 by 2 which equals 20 . Then you do pi which equals 3.14 and you multiply it by 20^(2) which equals 1256 . After that you take 1256 and divide it by 2 which equals 628 .

Fred kicks a ball with a force of 20n to George, who is 5m away. How much work was done to the ball

Answers

Answer:

100 Nm

Step-by-step explanation:

Work is said to be done when a force moves a body through a distance. This may be expressed as

work done = Force * distance

where

work done is measured in joules or Newton-meter

Force is measured in newtons and distance in meters

Substituting the given values,

Workdone = 20 * 5

= 100 Nm

= 100J

a cylinder has a volume of 500cm³ and a diameter of 18cm. which of the following is the closest to the height of the cylinder​

Answers

Step-by-step explanation:

Volume of Cylinder =

[tex]500 {cm}^{3} = \pi {r}^{2} h[/tex]

given d = 18

r = 1/2 x d = 9cm,

[tex]\pi( {9}^{2} )h = 500 \\ 81\pi \: h = 500 \\ h = \frac{500}{81\pi} cm[/tex]

I will leave the answer in terms of Pi as I am not sure how you want to leave your answer as.

which expression is a fourth root of -1 + i√3?

Answers

Answer:

−1+1.732051i

Step-by-step explanation:

what is the value of (6.6 x 10^17) - (9.2 x 10^14) over 4 10^16

Answers

Answer: 8.7

Step-by-step explanation:

Make x the subject

x = 360.18/ 41.4

x= 8.7

Answer:

16.477

Step-by-step explanation:

((6.6×10^17)−(9.2×10^14))/(4×10^16)

(6600x10^14 - 9.2x10^14)/(4x10^16)

(6590.8x10^14)/(4x10^16)

1647.7x10^-2

16.477

someone please help!!​

Answers

Answer:  -7

Step-by-step explanation:

In order to find rate of change, we use two points (0,70) and (3,49).

rate of change = (y2 - y1)/ (x2 - x1)

                         = (49 - 70) / (3 - 0)

                         = -21/3

                         = -7

A chi-squared test for homogeneity of proportions requires that

A. ni, n2, n3, ... > 30
B. all expected counts are > 5
C. nipi, n2p2, n3p3, ... > 10​

Answers

The answer is Is B
..................

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B (3, -4)

Step-by-step explanation:

A( -7, 2)

midpt ( -2, -1)

Equation:

(x + 5, y - 3)

Solve for B:

( -2, -1)

(x + 5, y - 3)

(3, -4)

HELPPPPPPPPPP :(

If there are two doors, each 36 inches wide.
Door A opened to 86° angle. Door B opened to 82°

which door's outer edge is farther from its closed position? and please explain it ♡​

Answers

Answer:

B its B

Step-by-step explanation:

Other Questions
explain why student shouldn't leave school Which is other endpoint of line segment with one endpoint at (1,3) and midpoint (3,5) How did the invention of the plow change the lives of the Sumerians of Mesopotamia? can someoneone help me with please i have to sent it todayWriting A storyRead the task below.Your English teacher has asked you to write a story for your school magazineThe story must begin with this sentence:It all began when Hayley was woken up by a loud noise.Your story must include: an open window a broken vaseWrite your story. Use this picture to name one pair of ALTERNATE EXTERIOR angles: * Solve the system of equations by substitution. * -8x + 2y = 4 y = 4x + 2 When the volume and concentration of a base that completely neutralizes an acid is known, you can determine the concentration of the acid due to at the point of neutralization, the number of moles of acid equals the number of moles of base.why does this happen? (btw this is describing titration) the criteria for the answer is "Try to answer why the results occurred. If you are in chemistry, what is happening at the molecular level with bonding, electrons, etc. " WILL MARK BRAINLIEST!!!! Which series is arranged in order from largest to smallest in size? Question 7Which expression is equivalent to the expression shown?10 x 4045104 x 4159940104 x 45 why is it that talent alone is not enough to guarantee success? why is knowledge essential in achieving success?please help me ANSWER QUICK PLSS!!!Write congruence statements comparing the corresponding parts in the congruent triangles shown below. a. congruent; a reflection followed by translationb. congruent; a rotation followed by a reflectionc. congruent; a reflection followed by another reflectiond. not congruent Do you think that the violence during the 1967 Detroit riot was justified?Why or why not? Help me with this question. Thx! please help i have been stuck on this for 3 hours Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?thousandstenstenths thousandths PLEASE HELP ME AS QUICK AS POSSIBLE City A and City B are 540 miles apart on a map. The scale on the map is 1inch:60 miles. How many inches apart on the map should City A and City B measure. Explain how you would solve this problem. What would the final answer be? Sorry for the lack of questions yesterday! Heres another one, though:What are the next three letters in this combination? OTTFFSS What are the five prominent religions in Asia? Which religion do you *NOT* find? Hay que entregar la ___ a tiempo Regla Tarea Ayuda Tarde