A health fitness research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend each week exercising at the center. They want to estimate the mean within a margin of error of 0.4 hours with a 95% level of confidence. Previous data suggest that the population standard deviation (sigma) is 2.6 hours. What is the smallest sample size that meets these criteria

Answers

Answer 1

Answer:

the smallest sample size is 163

Step-by-step explanation:

The computation of the smallest sample size that meets these criteria is shown below:

n = (Z a/2 ×  Standard deviation  ÷ Margin of error ) ^2

Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )

Standard Deviation ( S.D) = 2.6

Margin of error i.e. ME =0.4

n = ( 1.96 × 2.6 ÷ 0.4) ^2

= 163

Hence, the smallest sample size is 163


Related Questions

Please help me with this question

Answers

Answer:

$13.50

Step-by-step explanation:

Answer:

m = 13.50$

Step-by-step explanation:

26.50 + m = 40

m = 40 - 26.50

m = 13.50$

100 POINTS!!! Orthographic projection and isometric projection are two ways to show three-dimensional objects in a two-dimensional space, such as on a piece of paper or a computer screen. Each method gives a different perspective. Do some research and then compare and contrast the two methods for displaying three-dimensional shapes. Then try your hand at creating both types of projections for a simple geometric shape using paper, pencil, and a ruler.

In your opinion, what are the pros and cons of each projection? What are the limitations? In which circumstances, environments, or occupations is one type of projection likely preferred over the other? Describe any special tools that might be needed to create the projection. Which projection is easiest for you to interpret visually? Why?

Answers

Example 1:

The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.

Example 2:

Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.

What is the solution to the following system of equations?
3x + 2y = 30
y = x + 5

Answers

Answer:

D

Step-by-step explanation:

Answer:

I think this one is C

Step-by-step explanation:

It seems like its counting by 5's and the answer to the first equation

PLEASE ANSWER THANK U I NEED HELP

Answers

Answer:

√340=18.43

Step-by-step explanation:

using, pythogoras theorem.

we should find h , where p=14 and b=12

thank you

Answer:

the answer would be ≈18.4

Step-by-step explanation:

I used the pythagorean theorem to find the value for the hypotenuse and then rounded the answer by the nearest tenth to get approximately 18.4 , hope this helps!

Solve for x. 8x+10-5x=15.

Answers

Answer:

=

5

3

Step-by-step explanation:

8

+

1

0

5

=

1

5

3

+

1

0

=

1

5

Answer:

x = 5 / 3 = 1.667

Step-by-step explanation:

8*x+10-5*x-(15)=0

Solve  :    3x-5 = 0

Add  5  to both sides of the equation :

                     3x = 5

Divide both sides of the equation by 3:

                    x = 5/3 = 1.667

x = 5/3 = 1.667

HELP ME PLEASE
bsjsudhdhehe​

Answers

The lines cross at a single point so there is a single solution (A)

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

C

Step-by-step explanation:

radius squared * pi = 63.585

Mary bought a bag for 1600 and sold it for 2000, find the profit %​

Answers

Answer:

125%

Step-by-step explanation:

We are being asked what percent of 1600 is 2000.

The answer is 125%

1600 × 125% = 2000

Answer:

Step-by-step explanation:

100(2000-1600)/1600

100(400)/1600

40000/1600=25%

2The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood of this
number occurring on the next drawing?

(a) Very unlikely. It will almost certainly never happen.
(b) The same as any other four digit number.
(C) Very likely. The number is hot.
(d) Impossible.
(e) There is no way of knowing.

Answers

The answer should be A. It’s very unlikely

The correct answer is,

(a) Very unlikely. It will almost certainly never happen.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The winning number in a Pick 4 lottery was 1234 two days in a row.

Now,

Since, there is a 1 in 10,000 chance of drawing any particular four-digit number in a single drawing, there is very little chance that the same number will be picked twice in a row in a Pick 4 lottery.

Even less likely, at one in 100,000,000,000, is the same number being selected three times in a row.

So, (a) Very unlikely is the correct response. It's almost probably never going to happen.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?

Answers

Answer:

The other factor is (x - 2)

Step-by-step explanation:

One quick way to solve this is to factor the polynomial and see what you get:

3x² – 10x + 8

= 3x² - 6x - 4x + 8

= 3x(x - 2) - 4(x - 2)

= (3x - 4)(x - 2)

You can also solve this using long division:

[tex]\ \ \ \ \ \ \ \ \ \ \underline{x - 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\3x - 4\ )3x^{2} - 10x + 8\\.\ \ \ \ \ \ \ \ \ \ \underline{3x^2 - 4x}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -6x + 8\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-6x + 8}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0R[/tex]

Two different numbers are randomly selected from the set {-2, -1, 0, 3, 4, 5} and multiple together. What is the probability that the product is 0?

Answers

Answer:

Step-by-step explanation:

For the product to be zero one of the picks needs to be zero. It is easier to find the probability of NOT selecting a zero and subtract that from one.

P(0)=1-P(!0)

P(0)=1-(5/6)(4/5)

P(0)=1-4/6

P(0)=(6-4)/6

P(0)=1/3

Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1

Answers

Answer:

1 1/2

Step-by-step explanation:

If = x+12
what is the value of *?
X
21

Answers

if 21 is the final answer to the equation then x would be 9

Answer:

9

Step-by-step explanation:

SOMEONE PLEASE HELP EVEN IF ITS JUST WHAT YOU THINK PLEAE

Answers

Dang it looks confusing
Is that Geometry

Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?

Answers

Answer: B or C sorry if its wrong

Step-by-step explanation: have a nice day

At a bakery, a baker prepares 6 dozen blueberry muffins for every 5 dozen apple muffins. If the baker prepares 16 dozen blueberry muffins, how many dozen apple muffins will he prepare? Can you please explain how to do this.

Answers

Answer:13 apple muffins dozensStep-by-step explanation:I would write a proportion, I can't use a fraction bar so they will just be on top of each other: Blueberry Muffins    6 Apple Muffins          5 For every 6 Blueberry muffins there are 5 apple muffins (dozens) So when he makes 16 blueberry muffins (dozens) You write it next to the '6' because it's talking about blueberry muffin dozens. The proportion now: Blueberry Muffins  6   16 Apple Muffins        5    x To find x, or the number of apple muffin dozens, you multiply 16 * 5, which is 80. Then divide by 6. 80/6= 13.333 You can't have .333 of a dozen, so round it to 13. ***ANSWER***  He prepared 13 Apple muffin dozens. Hope this helped <3

HELP ME ILL GIVE BRAINLIEST
Which of the following factors can affect the strength of electric or magnetic fields? (YOU MAY SELECT MORE THAN ONE ANSWER)

Strength of the magnet/electric charge


The material that is creating the field

The mass of the object creating the field


The distance from the source of the field

Answers

Answer:

It's strength of the magnet/electric charge and the distance from the soucre of the field

Seven students were surveyed on the number of pets in their house. The results are shown below:
2, 2, 2, 3, 4, 4, 11
What is the mean number of pets?

Answers

Answer:

the mean number of pets is 4.

Step-by-step explanation:

if you add all of the numbers together, you get 28. Then you divide 28 by the amount of students.

The answer is 4, sum of all numbers divided by number of terms is 28/7 and or 4.

In the diagram EF is the bisector of <DEF = m < D' EF.

The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is _______.​

Answers

hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!

The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is the SAS rule.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The SAS rule states that "If two sides and the included angle of one triangle are equal to corresponding two sides and included angle of another triangle, then the triangles are congruent"

From ΔDEF and ΔD'EF

DE = D'E

m∠DEF = m∠D'EF

EF = EF

ΔDEF ≈ ΔD'EF

Thus,

The triangle congruence criteria that can be used is the SAS rule.

Learn more about triangles here:

https://brainly.com/question/25950519

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Pam bought 20 pieces of fruit for her class.
o   Each piece of fruit was either an apple or an orange.
o   She spent $1.25 on each apple.
o   She spent $0.95 on each orange.
o   Pam spent a total of $22.60.
Write a system of equations that can be used to find the number of apples Pam bought. Make sure to define your variables.
 
Choose the correct define variables and the correct system of equations

Answers

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

Answer:

1.25x+0.95y=22.60

x is apples y is oranges

Step-by-step explanation:

20 - 12 = 8

1.25(12) + 0.95(8) = 22.60

1.25 · 12 = $15

0.95 · 8 = $7.60

15.00 + 7.60 = $22.60

i hope that makes sense

Manatees are an endangered species of herbivorous, aquatic mammals found primarily in the rivers and estuaries of Florida. As part of its conservation efforts, the Florida Fish and Wildlife Commission records the cause of death for every recovered manatee carcass in its waters. Of the 392 recorded manatee deaths in 2012, 68 were perinatal and 81 were caused by collision with a watercraft.

Required:
a. What is the probability that the death of a randomly selected manatee was due to collision with a watercraft?
b. What is the probability that the death was not due to collision with a watercraft?
c. What is the probability that the cause of death was due to perinatal problems or collision with a watercraft?

Answers

Answer:

a) 0.206 , b) 0.794 , c) 0.38

Step-by-step explanation:

a) Prob(watercraft collision death)= Watercraft collision deaths / Total deaths = 81 / 392 = 0.206

b) Prob (Death non watercraft collison) = 1 - Prob (Death watercraft collision) = 1 - 0.206 = 0.794

c) Prob (Prenatal or watercraft collision death) = (68 + 81) / 392 = 0.38

Custom drapes are being fitted for a large circular
window. It is difficult to get these measurements, but the
window has an 8 ft horizontal shelf with a 2 ft brace that
sits in the frame. If the brace is extended upward, it
would go through the center of the shelf and the circle.
What is the diameter of the window?
Diameter =
feet

Help please

Answers

The diameter is 17ft
the answer is 17!
have a good day :)

Help please aaaaaaaa​

Answers

Answer:

the first answer is 7 the second is 2

Step-by-step explanation:

to slove plug in a variable in the blank space.

5(a/8)<5

divide both side by 5

a/8 <1

a=7

7/8 <1

-

the same method can be used for the second 6(2/a)=6

divide by 6

2/a=1

a=2

Simplify. Write the answer as a decimal.

Answers

Answer:

what are we simplifying

What is the area of the triangle below?



20 square units
15 square units
7.5 square units
30 square units

Answers

Answer:

7.5 square units

Step-by-step explanation:

Base of the triangle = 5 units

Height of the triangle = 3 units

Area of the triangle

[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]

Answer:

7.5

Step-by-step explanation:

1
This quilt is made up of cloth pieces shaped like isosceles right triangles.
The hypotenuse of each triangle is 16 centimeters long. Find the area of one
cloth triangle. *choose one

32 square centimeters
16 square centimeters
42 square centimeters
64 square centimeters

Answers

Answer:

Its 64 cm

Step-by-step explanation:

Choose the circle with the greatest area​

Answers

Answer:

#3

Step-by-step explanation:

find the errors and correct the following mathematical sentences:​

Answers

Answer:

You are supposed to correct the equation here not solve it.

NEED HELP ASAP BRAINLIEST TO THE FASTEST.
Yolanda has two grandfather clocks in her home. One must be wound every six days. Other must be wound every 14 days. Yolanda winds up both clocks on December 15. When is the next time she will have to wind both of the clocks on the same day?

Answers

Answer:

January 26 or in 42 days

Step-by-step explanation:

The smallest amount of days that both grandfather clocks share is 42 days. 42 days from December 15 is January 26.

hope this helps :)

Which graph represents an increasing function?
Graph A
Graph B
5
4
Z
012
Graph c
Graph D
7
6
5
6
5
4
1
4
3
2
1
1
O Graph A
O Graph B
O Graph C
O Graph D

Answers

Answer:

Graph B is correct answer of this question

hope it helps and your day will be full of happiness

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