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

There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color

Answers

Answer:

Blue = 30

Green = 24

Red = 54

Orange = 12

Step-by-step explanation:

hahahshahhahahahahahauehfudbrog f ghg

Can Someone help me with this problem?

Answers

Answer:

6x + 6

Step-by-step explanation:

Perimeter is the total measurement of all the sides

16x + 12 = (6x + 14) + (4x - 8) + (?)

16x + 12 = 10x + 6 + ?

6x + 6 = ?

AYO HELP ME SHAWTY PLEASE THANKS IG OR SUM WHATEVER

Answers

Answer:

the answer is D undefined slope

Answer:

UNDEFINED SLOPE

Step-by-step explanation:

mark brainliest if u want

7 students drew were 6, 4, 5, 7, and 8. What is the mean height of the triangles?

Answers

489293954922994499349393

Answer:6

Step-by-step explanation: for mean you add up the heights and divide it by the amount of numbers there are

How can you evaluate 2 to the power of 0

Answers

Answer:

How about this: There's always an implicit 1 in the expansion:

23=2⋅2⋅2⋅1=8

22=2⋅2⋅1=4

21=2⋅1=2

20=1=1

Based on the illustrations and the passage, which sentence tells how swifts and
sparrows are different?

Answers

Answer: Sparrows generally fly shorter distances than swifts do.

Step-by-step explanation: hope this right!

Answer:

What's the difference between a swallow and a swift?

=> Swifts fly in the upper part of the air column as they hunt; swallows pursue insects closer to the ground or water.

=> If the bird is perched on a nest box, power line, or branch, that's a giveaway: Only swallows have the wherewithal to sit upright. Swifts are just stage-five clingers.

=> The swift has a slightly forked tail, not as long as the swallow's.

[tex] \infty \infty [/tex]

Find the area of the shaded region. Round to the nearest hundredth

Answers

Answer:

Area of the shaded region = 450.52 square inch

Step-by-step explanation:

Area of the shaded region = Area of the circle - Area of the right triangle inscribed in the semicircle

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

                        = (21)² + (20)²

Hypotenuse = [tex]\sqrt{441+400}[/tex]

                     = [tex]\sqrt{841}[/tex]

                     = 29

Since, hypotenuse of the right triangle is the diameter of the circle.

Therefore, radius of the circle = [tex]\frac{29}{2}[/tex]

                                                  = 14.5 in.

Area of the circle = πr²

                             = π(14.5)²

                             = 660.519

                             ≈ 660.52 in²

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(21)(20)[/tex]

                                         = 210 in²

Area of the shaded region = 660.52 - 210

                                            = 450.52 square inch


HELP FOR 7 AND 8 Pleaseeeee

Answers

I believe the answer to 7 would be;
B. 64 cm

This is was a guess. My reasoning is 8(6) =48 and 8(10)=80, so the number in between would be 64.

Another train of thought was the number in the middle of 6 and 10 is 8 and 8(8) = 64
6, 7, 8, 9, 10
X, X, • , X, X

I believe the answer to 8 would be;
C. 82.5 in

Following the equation, you would multiply 15 and 11 the divide the product by two

15(11)=165
165/2=82.5

Please correct me if I am wrong and have a good day!

Solve for x. Use the photo for the chord

Answers

Answer: x=3

Step-by-step explanation:

up
Write an equation for the translation of x2 + y2 = 49 by 3 units left and 4 units
O(x + 3)2 + (y + 4)2 = 49
O(x + 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y + 4)2 = 49

Answers

Answer: (x+3)^2+(y-4)^2=49

The answer is b :)

Step-by-step explanation:

What is the length of leg s of the triangle below? A. 2.2 B. 4 C. 32 D. 4 E. 1.5 F. 16

Answers

Answer:

s = 4

Step-by-step explanation:

Note that the triangle has 2 congruent base angles, both 45°

This means the triangle is isosceles with congruent legs, then

s = 4

Answer:4

Step-by-step explanation:

non proportional or proportional ?
y= 3.75x + 2

Answers

Answer- non proportional
Non proportional ..................

if today is Wednesday what day of the week will it be after 39 days?​

Answers

Answer:

Monday, may 31, 2021

Step-by-step explanation:

:)))

use decimals to write the decimal number eight and four hundreths​

Answers

Answer: 8.040328

I don't know but hope it helps

What is the answer to this please help

Answers

Answer:

A = 140

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 20

h = 14

Work:

A = 1/2bh

A = 1/2(20)(14)

A = 10(14)

A = 140

I NEED HELP ASAP!!!
Solve for x and AB. Please just type the answer. If it is not a whole number, please put it in decimal form.

Answers

Answer:

l don't understand please explain ppppppppp

How did Eskimos hunt whales?


I really need help!! ​

Answers

Answer: The Eskimos killed their whale with an exploding harpoon.

Step-by-step explanation:

a crew of Inupiat Eskimos cruising the Arctic Ocean in a small powerboat spotted the whale's spout, speeded to the animal's side and killed the whale with an exploding harpoon.

Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Option J is the correct answer to your question.

In Exercises 10 and 11, the polygons are similar. Find the value of x.

Answers

Answer:

10) x/6 = 4/8

8x = 6 x 4 = 24

x = 3

11) x/15 = 12/8

8x = 15 x 12 = 180

x = 22.5

someone pls help im struggling if you do tysm ! <333 :)

Answers

Answer:

everything except -1 will be the answer

Step-by-step explanation:

4n + 13 < 9

n < -1

if n is -1, the answer would be 9(INCORRECT)

if n is -2, the answer would be 5(CORRECT)

if n is -3, the answer would be 1(CORRECT)

if n is -4, the answer would be -3(CORRECT)

the answer should be the first one

pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)

Answers

Photic zone: seaweeds and corals live here

aphotic zone: mid-ocean level where no light reaches

deep ocean floor: animals that glow are found here

Hope this helped!

Answer:

deep ocean floor - animals that glow are found here

photic zone - seaweeds and coral live here

aphotic zone mid-ocean level where no light reaches

Step-by-step explanation:

I rly hope this helps!! :D

Given f(x) = x^4 -3x^3 +10x^2 -9x +1. Is (x-2) a factor? Is x=-3 a zero? Find f(-1) show all work.

Answers

Step-by-step explanation:

(x-2) is not a factor

x = -3 is not a zero

Please mark my answer as the brainliest for further answers :)

What is the value of X
pls dont sent false links ​

Answers

Answer:

x = 43°

Step-by-step explanation:

The chord- chord angle AED is half the sum of the arcs intercepted by the angle and its vertical angle, that is

x = [tex]\frac{1}{2}[/tex] (54 + 32)°  = [tex]\frac{1}{2}[/tex] × 86° = 43°

Please Help me out I just need the answers and pls make sure they are right idrc for an explantion​

Answers

1. 215.10

2. 57.60

3. 16.11

4. 8.24

5. 89.40

6. 149.10

7. 476

8. 48

9. 59.50

10. 13.49

What are the zeros for 3x^2 - 17x = -10? Below, you need to choose the correct factors and the correct zeros.

Answers

Answer:

Step-by-step explanation:

3x²-17x=-10

3x²-17x+10=0

3x²-2x-15x+10=0

x(3x-2)-5(3x-2)=0

(3x-2)(x-5)=0

3x-2=0,x=2/3

x-5=0,x=5

1. Find the probability that you will roll a six and then a five when you roll a die twice
2. A bag contains 3 red, 4 blue, and 6 yellow marbles. One Marble is selected at a time, and once a marble is selected, it is replaced, find each probability.

Answers

1/36 for the first need the questions for the second

Susan estimated she would spend $250 on school clothes at the start of the school year. She actually ended up spending only $230. What was her percent of error in her calculations?

Answers

Answer:

8.70%

Step-by-step explanation:

Percentage error = (difference between estimated value and actual value / actual amount spent) x 100

difference between estimated value and actual value = estimated value - actual amount

$250 - $230 = $20

($20 / $230) x 100 = 8.6957%

What fraction does point S represent?

Answers

Answer:

C

Step-by-step explanation:

So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.

1. The emblem on a college banner consists of the face of a tiger
inside a right triangle. The lengths of two sides of the triangle are
13 centimeters and 14 cm.
What is the length of the longest side of the right triangle?

Answers


1. For a triangle to be a right triangle, it must satisfy the Pythagorean theorem: ; the square of the longest side (hypotenuse) of the triangle is equal to the sum of the squares of its shorter sides.
We know from our problem that the longest side of our triangle is 15 cm long and the shorter sides are 13 cm and 14 cm respectively, so:





We can conclude that the triangle is NOT a right triangle.

2. Just as before, for a triangle to be a right triangle, it must satisfy the Pythagorean theorem: ; the square of the longest side (hypotenuse) of the triangle is equal to the sum of the squares of its shorter sides.
We know from our triangle that its longest side is 8 ft long and its shorter sides are 4,8 ft and 6.4 ft, so lets use the Pythagorean theorem:




It is 15 cm I have the answer on my homework

what is the geometric mean between 7 and 12

Answers

Answer:

Geometric Mean = 9.17

Step-by-step explanation:

Here,

a = 7

b = 12

Geometric mean = root(ab)

= root( 7 x 12)

= root(84)

= 9.17

9.5 is the geometric mean of any 2 numbers.
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