The management of a major diary wanted to determine the average ounces of milk consumed per resident in the state of Texas. Past data indicated that the standard deviation in milk consumption per capita across the U.S. population was 4 ounces. A 95% confidence level is required and the margin of error is not to exceed /- 0.5 ounces. Management wanted to double the level of precision and increase the level of confidence to 99%.

Required:
What sample size would you recommend?

Answers

Answer 1

Answer:

The recommended sample size is 1,698

Step-by-step explanation:

The given standard deviation in milk consumption per capita across the U.S., σ = 4 ounces

The required confidence level = 95%

The margin of error, e = ± 0.5

When the precision is doubled, we have the new margin of error = ±0.5/2 = ±0.25

The standard score at 99% confidence level, z = 2.576

The sample size formula is given as follows;

[tex]S = \dfrac{Z^2 \times P \times Q}{E^2}[/tex]

Where;

P × Q = The variance = σ²

∴ P × Q = 4² = 16

The sample size becomes;

S = 2.576² × 16/(0.25²) = 1,698.758656

We round down to get the recommended sample size, S = 1,698


Related Questions

Zach puts $1000 in a savings account earning 5% simple interest for five years how much interest has he earned at the end of the five years

Answers

Answer:

$250

Step-by-step explanation:

The formula for simple interest is I = PRT, where I= interest earned or paid, P = principal deposited or borrowed, R = interest rate as a decimal, and T = time in years.

I = PRT

I = (1000)(0.05)(5)

I = 250

Please help me!

Evaluate (-27)^1/3

1/3 is a fraction

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is correct, but why?

The reason is that the exponent 1/3 indicates a cube root and the cube root of -27 is -3.

[tex]x^\frac{1}{n}=\sqrt[n]{x}[/tex]

So [tex]x^\frac{1}{2}=\sqrt{x}[/tex]

[tex]x^\frac{1}{5}=\sqrt[5]{x}[/tex]

etc.

what is the ans and pls explain

Answers

The answer is a happy to help

Which expression is equivalent to -2 1/4 divide -2/3?

Answers

Answer:

-9/4 divide (-2/3)

Step-by-step explanation:

Find the value of x

Answers

the value of x is 9 according to the image

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Answers

use me as a like button for this question lol

In ΔSTU, the measure of ∠U=90°, UT = 80, SU = 39, and TS = 89. What ratio represents the tangent of ∠S?

Answers

Answer:

[tex]\frac{80}{39}[/tex]

Step-by-step explanation:

SOHCAHTOA

O =Opposite

A = Adjacent

H = Hpotenuse

If we draw it out we can see that the opposite side is the UT and adjacent side is SU for ∠S.

When an angle is asked for like here is S so the opposite side of the angle is the opposite side. and the angle close to it is the adjacent. The biggest side is the hypotenuse.

Acellus
Find the lateral area of this cone.
Leave your answer in terms of 7.
24in
10 in
T ㅠ
Hint: Lateral Area of a Cone = more
Where e = slant height
Enter

Answers

Answer:

24 in

Step-by-step explanation:

i donk know

its a guess

Answer: 260

Step-by-step explanation:

How many 3/8 mile laps does shandra need to run to complete 6 miles?

Answers

Answer:

16 more 3/8 mile runs

Step-by-step explanation:

We can just divide 6 by 3/8

6/1 divided by 3/8

6/1 * 8/3

48/3

16

Ile czystego alkoholu znajduje się we krwii​

Answers

Answer:

100 ml

Step-by-step explanation:

Which negative angle is equivalent to 265°?
A. -85°
B. -65°
C. -95°
D. -75°

Answers

Answer:-95°

Step-by-step explanation: a p e x

The negative angle that is equivalent to 265° would be equal to negative 85 degrees.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The negative angle is equivalent to 265°.

We know that the sum of angles is always 180

So,

we will subtract the angle 180 from the angle of 265 degrees.

265 - 180

= 85°

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ2

Every unitary operator U : X → X is normal. b) A matrix is unitary if and only if it is invertible. c) If two matrices are unitarily equivalent, then they are also similar. d) The sum of self-adjoint operators is self-adjoint. e) The adjoint of a unitary operator is unitary. f) The adjoint of a normal operator is normal. g) If all eigenvalues of a linear operator are 1, then the operator must be unitary or orthogonal. h) If all eigenvalues of a normal operator are 1, then the operator is identity. i) A linear operator may preserve norm but not the inner product.

Answers

yes

for the following reasons:

50 points , please be honest

Answers

Answer:

7

Step-by-step explanation:

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

7^2+b^2=8^2

49+b^2=64

b^2=15

b=[tex]\sqrt{15}[/tex]

What is the area? 20 km 13 km 16 km

Answers

15,600. multiply them

How many integers are there from 1,000 through 9,999? (b) How many odd integers are there from 1,000 through 9,999? (c) How many integers from 1,000 through 9,999 have distinct digits? (d) How many odd integers from 1,000 through 9,999 have distinct digits? (e) What is the probability that a randomly chosen four-digit integer has distinct digits? What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?

Answers

Answer:

(a) [tex]Total= 9000[/tex]

(b) [tex]Total = 4500[/tex]

(c) [tex]Total = 4536[/tex]

(d) [tex]Total = 2240[/tex]

(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits

[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits

Step-by-step explanation:

Solving (a): Integers from 1000 to 9999

To do this, we simply add 1 to the range.

i.e.

[tex]Total= Range +1[/tex]

Range is the difference between the given interval.

[tex]Total= 9999 - 1000 +1[/tex]

[tex]Total= 9000[/tex]

Solving (b): Odd integers

This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)

The first digit can not be 0 (i.e any of the remaining 9 digits)

There is no restriction to other digits

Numbers from 1000 to 9999 are 4 digits, so the possible selection are:

[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]

Total selection is:

[tex]Total = 9 * 10 * 10 * 5[/tex]

[tex]Total = 4500[/tex]

Solving (c): Distinct digits

This implies that all 4 digits are different and the first can not be 0.

So, we have:  

[tex]First = 9[/tex] i.e. (1 - 9)

[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit

[tex]Third = 8[/tex]

[tex]Fourth = 7[/tex]

Total selection is:

[tex]Total = 9*9*8*7[/tex]

[tex]Total = 4536[/tex]

Solving (d): Odd digits that are distinct

This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)

The first digit can not be 0 and must be different from the last (i.e 8 digits)

The second digit must be different from the first and the last(i.e. 8 digits)

The third digit must be different from the three other digits (i.e. 7 digits)

So,

[tex]Total = 5 * 8 * 8 * 7[/tex]

[tex]Total = 2240[/tex]

Solving (e): Probability that a number is distinct

In (a), total possible digits is 9000

In (c), total distints are 4536

So, the probability is:

[tex]Pr = \frac{4536}{9000}[/tex]

[tex]Pr = 0.5040[/tex]

In (d), total odd distinct digits are 2240

So, the probability is:

[tex]Pr = \frac{2240}{9000}[/tex]

[tex]Pr = 0.2489[/tex]

I need help with this if your right I will mark uou

Answers

Answer:

I think it's a

Step-by-step explanation:

Morgan is a teacher and takes home 87 papers to grade over the weekend. She can grade at a rate of 9 papers per hour. How many papers would Morgan have remaining to grade after working for 7 hours?

Answers

Answer: 24

Step-by-step explanation: Delta math  a=78+(7−1)(−9)

Answer:

2369.9

Step-by-step explanation:

Add it back

Help me please with this thank you

Answers

I believe it is 4. I am not 100% sure

11. The product of 4.8 and 0.4 is 19.2
A) True
B) False


Answers

Answer:

false it's product is 1.92

Find the surface area of the rectangular prism.
15 cm
3 cm
5 cm

Answers

Answer:

Step-by-step explanation:

Formula

SA = 2*L*w + 2*L*h + 2*h*w

Givens

L =  15

w = 5

h = 3

Solution

SA = 2*15*5 + 2*15*3 + 2*5*3

SA = 150 + 90 + 30

SA = 270 cm^2


[tex] \sqrt[3]{54} [/tex]
How do I solve?​

Answers

Answer:

find the cubic root of the number given

Solve for x
(13x + 4)º
98

Answers

Answer:

6

Step-by-step explanation:

13x + 4 = 180 - 98

x = 6

17 cm
12 cm
5 cm
pls help

Answers

Answer:

30 cm²

Step-by-step explanation:

A = bh/2

A = (12 cm)(5 cm)/2

A = 30 cm²

Question 1 of 12
Points X(6,8), Y3, 3), and 213, -3) form a triangle. What is the area of AXYZ?
(8.3 points)
A. 76 units?
B. 110 units2
C. 34 units
D. 68 units?

Answers

B


The answer is, I already took this

Answer:

answer b

Step-by-step explanation:

I definitely did it;)

Find the direction of the vector <-3, -5>

Answers

Answer:

The vector

V

=

(

4

,

-

3

)

is at an angle of

36.67

°

to the positive

x

-axis.

Explanation:

I'll presume you're looking for the angle which the vector makes with the

x

-axis.

We use our old friend

tan

for this.

tan

θ

=

y

x

θ

=

tan

1

(

y

x

)

θ

=

tan

1

(

3

4

)

=

tan

1

(

0.75

)

θ

=

0.64

θ

36.67

°

Because

tan

1

can only return angles between -90° and +90° (that is, in

Q

IV

or

Q

I

), we then check which quadrant the point

(

4

,

-

3

)

is in, to confirm whether we can keep this answer or if we need to add 180°.

(

4

,

-

3

)

is in quadrant 4, and so the value given by

tan

1

is fine as it is.

The vector

V

=

(

4

,

-

3

)

is at an angle of

36.67

°

to the positive

x

-axis.

The volume of the following solid figure could be found by multiplying the area of its circular base by the height of the cone. True False

Answers

Answer:

its false

Step-by-step explanation:

Brainly is so bad. They are deleting all of these questions like ITS MY HOMEWORK AND I NEED HELP THAT WHAT THE APP IS FOR??????? STOP DELETING QUESTIONS BECAUSE THERE ARE SOME KIDS CRYING BECAUSE THEY JUST CANT UNDERSTAND IT AND THEY NEED AN EXPLANATION BRAINLY IS GETTING WORSE AND WORSE.

Answer:

The answer to this question is FALSE

hope you have a nice day!

Which of the following equations is of a parabola with a vertex at (3.0)?

Answers

Answer:

D) y= x^2 +3

Step-by-step explanation:

determine if function. HELLPPP If you awnser correctly i will try and give you a brainlyyyy.​

Answers

Answer: This relation is not a function

Step-by-step explanation:

To find out if a relation is a function, we need to use the vertical line test, which means each input value only has one output value. This graph does not pass that vertical line test.

Answer:

I believe it is a function

Step-by-step explanation:

You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary.

Answers

29.99 *0.065 = 1.94935.
1.94935+29.99 =31.93935 - rounded = 31.94 cents

Answer:

hjvcwhcd

Step-by-step explanation:

hccdw u hvucoijihcxpoiyutrdjrggggggggggggggggggggggggggggggggggggggg

The area of a rectangle is 96 cm2. If the breadth of the rectangle is 8cm, find its perimeter ​

Answers

Answer:

area = length x width

96/8= 12 = something i have no idea what is breadth, but it doesnt matter

perimeter = 2(length) + 2(width)

2(12) + 2(8)=40cm

hope that answers your question

ps. fix your typing...skill, or word vocabulary thing...

Step-by-step explanation:

Answer:

40 cm

Step-by-step explanation:

Data:

Area (a): 96 cm

Width (b): 8 cm

a = b•h

96 = 8•h

96/8 = h

12 = h

The perimeter is the sum of all the sides, so.

Perimeter:

12+12+8+8 = 40

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