A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The professor wants to find a sample mean that is within 4.266 hours of the true average for all college students at the university with 99% conconfidence. If the professor knows the standard deviation of the sleep times for all college students is 2.539, what sample size will need to be taken

Answers

Answer 1

Answer:

The sample size is [tex]n = 2[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  [tex]\sigma = 2.539[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>  [tex]n = [\frac{2.58  *  2.539  }{4.266} ] ^2[/tex]

=>  [tex]n = 2[/tex]


Related Questions

The sum of two times a number (x) is less than 19

Answers

Answer:

ANSWER

Let one number  = x

other number      = 2x-3  

(x+2x−3)+7=37

3x = 33

x = 11

∴ The two number are 11 and 19

I need help for this question.​

Answers

Answer:

the water rises 50ft  per minute so for 60min you have to multiply 60 x 50 which will be 3000ft in 60mins

Step-by-step explanation:

Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it ​

Answers

Answer: This is a tough question

Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D

Step-by-step explanation:

Write an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9.

Answers

Answer:

y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]

Step-by-step explanation:

y = 12x - 9

Slope of line perpendicular to given is m = - [tex]\frac{1}{12}[/tex]

P(7, 10)

y - 10 = - [tex]\frac{1}{12}[/tex] (x - 7)

y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]

An equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)

The equation of a line in point-slope form is expressed as;

y - y0 = m(x-x0)

m is the slope of the line(x0, y0) is any point on the line

Given the equation of a line y = 12x - 9

Slope = 12Slope of the line perpendicular is -1/12

Substitute m = -1/12 and ()7, 10) into the equation above to have;

y - 10 = -1/12(x-7)

Hence an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)

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2 L = _____ ml can someone help? :((

Answers

Answer:

2000

Step-by-step explanation:

Answer:

2000 ml

Step-by-step explanation:

HEYYYYYYYYYYYY ONCE AGAIN THIS IS ONLY 3 OF 30 PlS HELPPP

Answers

Answer:

the 3rd one im pretty sure

Step-by-step explanation:

Answer:

the 3rd one <3

Step-by-step explanation:

What is the LCM of eight and nine

Answers

Answer: LCM: 72

Step-by-step explanation:

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

9: 9, 18, 27, 36, 45, 54, 63, 72

Answer:

the anser is 8 and 9 is 72 so 72

of the following pair of variables indicate whether you would expect a positive, negative, or no correlation to exist.
Maximum daily temperature and cost to coolant house​

Answers

Answer:

B

Step-by-step explanation:

Bbbbb bbbbbbbbbbb

Angie and her friends ate 3/4 of a pizza. Her brother Joe ate 2/3 of what was left, How much of the original pizza did Joe eat? Please and thank you!

Answers

so change the fraction to 9/12, and her brothers to 6/12, subtract the 2, and you get 3/12, simplist form, he hate 1/4 of the pizza

The graph represents function 1, and the equation represents function 2:
6
3
2
1
0
0 1
2
3
4
5 6 7 8 9
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
O 3
O4
O 5

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope or rate of change of the function can be:

positivenegativezero, orundefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

[tex]y = 8x+12[/tex]

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

ASE
BCDE is a trapezium with angle CDE = 90°. ABEF is a straight line.
Q2)
D
Diagram
accurately
1159
А
11030
E
F
B
Work out the size of the angle marked x.

Answers

Answer:

128 deg

Step-by-step explanation:

The sum of the measures of the angles of a polygon of n sides is

(n - 2)180

A trapezium has 4 sides, so the sum of the measures of the angles is

(4 - 2)180 = 2(180) = 360

m<CBE + m<C + m<D + m<DEB = 360

Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.

m<ABC + m<CBE = 180

115 + m<CBE = 180

m<CBE = 65

m<C = x

m<D = 90

Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.

m<DEB + m<DEF = 180

m<DEB + m<103 = 180

m<DEB = 77

m<CBE + m<C + m<D + m<DEB = 360

65 + x + 90 + 77 = 360

x + 232 = 360

x = 128

Answer: 128 deg

so we will get a lot of teiangles here.

90°+x+CED=180°

also CED+DEF=180°(half circle, 360/2)

CED+103°=180°

CED=180-103=77°

77°+90°+X/2=180°

x/2=180-167=13°

Lee is making scarfs for a shelter. He purchased 11 skeins of yarns. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf.

Answers

Answer:

Give me sum

Step-by-step explanation:

Answer:

Most scarves will use one to two skeins of yarn. According to the chart above, you will probably need about 300–650 yards, depending on the weight of yarn, the colors, the stitches, style, and length amongst other factors.

Step-by-step explanation:

Help me please and thank you

Answers

Answer:

ΔMXP, ΔXMP, ΔPMX

Step-by-step explanation:

A triangle has three sides and three points, so it can only be named using the three points, X, P and M.

What is this? Please answer with an explanation

Answers

At 5 and you do this by setting the inside equal to 0 and solving for x

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

Julie Myrick has a credit card that has an APR of 15%, applied at a daily
periodic rate to the previous balance. Her previous balance is $567,31. She made
new purchases totaling S128.92, and a payment-of $125 in the month of June.
What is her new balance?

Answers

Answer.    332.78

Step-by-step explanation:

I subtracted and as awesome its right trust me.

If p varies jointly as q and the cube of r, when
p=270 when q=6 and r=3, find the constant of
variation. Write your answer as a fraction.
y=kxz

Answers

Hope this might help u

The value of constant of variation is, 5.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

⇒ p varies jointly as q and the cube of r.

Since, p varies jointly as q and the cube of r.

Hence, We can formulate;

⇒ p = k × q × r²

Where, k is constant of variation.

Here, p = 270 when q = 6 and r = 3.

Substitute all the values, we get;

⇒ p = k × q × r²

⇒ 270 = k × 6 × 3²

⇒ 270 = 54k

⇒ k = 270 / 54

⇒ k = 5

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Determined to find the slope
(1 7K), and (-3,5K)​

Answers

Answer: [tex]\dfrac{K}{2}[/tex] .

Step-by-step explanation:

As we know ,

The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  is given by :

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]

Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .

What is the answer and plz give me step by step explaining

Answers

Answer: 5/7

Explanation:

You start with 6 + 8(x - 1) = 2(3x + 4)
Wow. That looks like a lot, so you need to take it one step at a time. Because of PEMDAS (Please Excuse My Dear Aunt Sally), which gives us the order of Parentheses (), Exponents(Baby Numbers), Multiply or Divide from left to right according to where it is in the problem, and Add or Subtract from left to right according to where it is in the problem, you need to look at your parentheses first. Let’s start with
8(x - 1). 8 is touching those parentheses all by itself, so it’s being multiplied with the stuff in the parentheses. 8 times x is 8x and 8 times 1 is 8. That gives you

6 + 8x - 8 = 2(3x + 4)

Do the same thing with 2(3x + 4). 2 is touching those parentheses all by itself so you multiply it by the stuff inside to get 6x + 8. You now have

6 + 8x - 8 = 6x + 8

But where do we go from here? Okay well what you’re trying to do is get a single x by itself on one side of the equals and the answer on the other side. So, we have

6 + 8x - 8 = 6x + 8

Let’s start on the left side with 6 + and - 8. If you have 6 and you take 8 away, you can’t because you’ll still need 2, so 6 - 8 = -2. That leaves you with

8x - 2 = 6x + 8

Then, you take the 6x from the right side and add it to the 8x on the left. You have 14x. This gives you

14x - 2 = 8

Look at -2. We want to get rid of that, so we would do the opposite of - which is + so we would add.

14x - 2 = 8
+ 2 + 2
——————
14x = 10

Now look at 14x, which is the same as 14 times x. The opposite of multiplying is dividing so divide.

14x = 10
/14 /14

X = 10/14 which simplifies into 5/7

How to solve
3sin^2x-5sinx-2

Answers

So not commit sins
Become one with the lord
Read the bible
Too many sins
Ask the lord for forgiveness
Thats how you solve you answer
Explanation
Listed above
Bababoey

I need help on this onee pleasee

Answers

Answer:

1. 2nd row multiplied by the 3 columns : 7x³ , -35 x²,42

2. 3rd row multiplied by the 3 columns :  -4x² , 20x ,-24

Step-by-step explanation:

The table requires you to perform multiplication of the terms

The product is as follows;

1. 2nd row multiplied by the 3 columns

7x * x² = 7x³

7x * -5x = -35 x²

7x * 6 = 42

2. 3rd row multiplied by the 3 columns

-4 * x² = -4x²

-4 * -5x = 20x

-4*6 = -24

A circular tablecloth has a diameter of 6 feet,as show on the picture.



What is the area,in square feet,of the tablecloth.​

Answers

Nsnsnanannajakaabaatayqqjabwhwwkk

The following are the last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 29 runs. What is his new mean score? Give your answers as decimals.

Answers

Answer:

a. 12.5   b. 14

Step-by-step explanation:

If you add all of the scores together (125) and then divide by the the number of scores in the sequence (10), you get 12.5, and then you need to add the 29 on to 125 and divide that by 11, because thats the new amount of numbers in the sequence, to get 14.

Find the length of AB PLEASE HELP

Answers

Answer: D) 53.74

This value is approximate.

===========================================

Work Shown:

x = length of AB

Use the sine rule to say

sin(angle) = opposite/hypotenuse

sin(B) = AC/AB

sin(61) = 47/x

x*sin(61) = 47

x = 47/sin(61)

x = 53.7376 ..... make sure your calculator is in degree mode

x = 53.74

So AB = 53.74 approximately

Can someone help with this please?

Answers

Answer:

n=5 and it's output is -13

Step-by-step explanation:

By inspection, the inputs increase by +1 and the outputs decrease by 2

Thus ,n=4+1=5 and it's output is -11-2=-13

What is the distance between -23 and 6

Answers

Answer:

29

Step-by-step explanation:

add 23 to cancel the negative then add 6 to get the final answer

Answer:

29 units.

Step-by-step explanation:

The distance is  6 - (-23)

= 6 + 23

= 29 units.

Find the angle θ between vectors r and s, where |r| = 16, |s| = 9, and r · s = 125. θ = 85.87° θ = 82.65° θ = 29.77° θ = 16.26°

Answers

Answer:

C - 29.77

Step-by-step explanation:

Edge 2020

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The angle θ between vectors r and s is 29.766°.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of two vectors is written as,

[tex]r \cdot s = |r|\cdot |s| \times \cos(\hat I)[/tex]

Substituting the values,

125 = 16 · 9 × Cos(θ)

0.868 = Cos(θ)

θ = 29.766°

Hence,  the angle θ between vectors r and s is 29.766°.

Learn more about Multiplication:

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Evaluate x² + 2x - 4 if x = -4.

Answers

Answer:

the answer is ;4

Step-by-step explanation:

The explains why a x b = b x a and a + b = b + a.

Answers

Answer: The commutative property

Explanation: the commutative property of addition/multiplication states that no matter what order the expression is in it will equal the same thing.

Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?

Answers

Answer:

95%is the answer

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

We can use the balancing method to do this.. first what is the total below 90?

The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?

The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%

Now we use the balancing method to get from 5-10.

Using the balancing method we get 95%

Please can someone help me please
It is attached

Answers

the answer is 1! I hope this is right
Simplify the expression

(y+1)^3

Using , (a+b)^3=a^3a^2b+3ab^2+b^3expand the expression

y^3+3y^2+3y+1=
Answer
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