PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food service on campus. It plans to use a scale from 1 to 100, on which 1 is complete dissatisfaction and 100 is complete satisfaction. The administration knows from past experience with such questions that the standard deviation for the responses is going to be about 3, but it does not know what to expect for the mean. It wants to be almost sure that the sample mean is within plus or minus 1 point of the true population mean value. How large, n will the random sample have to be

Answers

Answer 1

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81


Related Questions

how do i solve this 14 − x = 5

Answers

Answer:

9

Step-by-step explanation:

because 14-5=9

You have to move X to make it by itself so it’ll read out 14 = x + 5 and then subtract 14 - 5 to get x. So, 14 - 5 = X which means X= 9

A bank wonders if omitting the annual credit card fee for customers who charge at least $2400 in a year will increase the amount charged on its credit cards. The bank makes this offer to an SRS of 200 of its credit card customers. It then compares how much these customers charge this year with the amount that they charged last year. The mean increase in the sample is $332, and the standard deviation is $108.

Answers

Answer:

We reject the H0

Step-by-step explanation:

Given that:

Sample size, n = 200

x, = 332 ; s = 108

H0 : μ = 0

H1: μ > 0

The test statistic :

(x - μ) / s/sqrt(n)

332 / 108/sqrt(200)

332 / 7.6367532

Zstatistic = 43.47

Pvalue from Zstatistic at α = 0.05

P value is bet small < 0.00001

Pvalue < α

We reject the null

Conclusion: Amount charged on credit card under the no - fee plan increases

PLEASE HELP! Which of the following teams will have a greater standard deviation in their heights ?

Answers

The visiting team will have the greater standard deviation.

I need help and I don’t know how to check it

Answers

Answer:

y=2x+3

Step-by-step explanation:

4 to the power of3 -(2+2to the power of 3) x 5​

Answers

Answer:

14

Step-by-step explanation:

Given the following equation;

4³ - (2 + 2³) * 5

4*4*4 - (2 + 2*2*2) * 5

64 - (2 + 8) * 5

64 - (10) * 5

64 - 50 = 14

Note: the rule of BODMAS was applied.

A student is playing a number game and starts with number -15

Answers

What is even the question

What is the value of x?

Answers

Answer:

x=14/3

Step-by-step explanation:

According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.

Subtract 14 from both sides

56 = 12x

Divide both sides by 12

14/3 = x

x=14/3

What is the area of this composite figure?
5 cm
12 cm
3 cm
3 cm
2 cm
2 cm

Answers

Answer:

quit school its trash

Step-by-step explanation:

e

3) Find AB
B
30°
28
59

A) 24
B) 20
C)27
D) 25

Answers

Your answer would be 27

Convert 45ft from feet to yards
PLS.Answer

Answers

Answer:

15 yards

Step-by-step explanation:

3ft=1yard

45/3=15

A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

[tex]y = \frac{1}{4} x[/tex]  

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula [tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}[/tex]

Thus, the slope is [tex]\frac{1}{4}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{4}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

[tex]y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x[/tex]

PLZ HELP!! WILL MAKE BRAINLIEST!!!​

Answers

Answer:

formula is 6a²= surface area

but since one side is not being painted it is

5a²= surface area

5(3.2)²

=51.2cm

Someone please help me answer this!!

Answers

one and three sixth because u simplify the two fractions

Please help me on this

Answers

43 since 7-2 =5
And 5 times 7 = 35 for the big box
And the top are 2 little boxes of an area of 4
35+8=43

Answer:

Step-by-step explanation:

[tex]e + \frac{1}{8} = \frac{3}{8\\}[/tex]

Answers

he would equal 2/8 or 1/4. We can find this by subtracting 1/8 from both sides. Hope this helps!

please help !!!!!!!!!!!!!!!!!!!



what is A

Answers

Answer:

Step-by-step explanation:

a=11/12

HELP FAST FAST FAST
IM GIVING BRAINLIEST!!!!

A trapezoid has an area of 13.5 inches. The bases are 3 inches and 6 inches. Determine the height of the trapezoid.

EXPLAIN THE PROCESS AND THE STEPS PLEASEEE

Answers

Answer:

h=3in  

Step-by-step explanation:

A=a+b

2h

Solving forh

h=2A

a+b=2·13.5

3+6=3in

work out the area of this sem​

Answers

Answer:

I’m not sure if this is free points or a question but the question is not clear

Step-by-step explanation:

Answer:  Uhmm where is the problem?

Madeline sells five roses on the first day, seven roses on the second day, ten on the third day, fourteen on the fourth day. If Madeline continues her selling pattern, how many roses will she sell on the tenth day? How many will she sell on the fifteenth day?​

Answers

Answer:

124, I believe

Step-by-step explanation:

each day you're adding on the amount of the day,

5,7,10,14,19,25,32,40,49,59,70,82,95,109,124

days below

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)

5 on day 1

5+2=7 day 2

7+3=10 day 3

and so on

Write an equation to show how the Distributive Property can help you solve each problem. 3 Kelly signed copies of her new book at a local bookstore. In the morning she signed 36 books, and in the afternoon she signed 51 books. It took her 5 minutes to sign a book. How much time did she spend signing books? Equation: Solution:​

Answers

Answer:

wouldnt it be 8 im not sure tho

Step-by-step explanation:

180÷(4+16)-8×3+7×(2+3)​

Answers

Answer:

111

Step-by-step explanation:

Use PEMDAS to solve this equation, so first we have to do parenthesis first. Simplify 4+16 to get 20. Simplify 2+3 to get 5. Therefore, the equation will now look like 180/(20)-8x3+7x(5). Because we can do either division or multiplication first, we have to solve the equation started from the left. Therefore, we do 180/20 which is 90. Then the equation will be 90-8x3+7x5. Multiply -8 and 3 together to get -24. Therefore, the equation will be 90-24+7x5. Because we always do multiplication/division before addition/subtraction. We have to do 7x5 which is equal to 35. Therefore, the equation will look like 90-24+35. Because there is only subtraction and addition now, we should start from the left hand side which is 90-24. Simplify this to get 76. Then the equation will be 76+35. Simplify this to get 111.

If this answer helps, please mark it as brainliest


Mr. Bernstein owns 11 paintings, but has only enough wall space in his home to display five of
them at any one time. How many ways can Mr. Bernstein display three paintings in his home?

Answers

Answer:

In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation you’re familiar with where one quantity changes constantly in relation to another quantity. How are the two quantities in the situation related? If you represent the two quantities on a graph, what will it look like?

Step-by-step explanation:

ILL GIVE BRAINLESTTTTTT

Answers

Answer:

Step-by-step explanation:

5/3 *2=10/6

10/6-6/6=4/6

wirte an inequality to comepare the ratios 2/4 and 5/6​

Answers

The inequality is < so 2/4 < 5/6.

7) Taylor has a bag of marbles that are all the same size. Of all the marbles
in the bag, there are 5 red, 6 pink, 7 blue, 3 green, and 4 yellow marbles.
Using a probability model for this experiment, predict how many times
Taylor would pick up a red marble if she choses a marble 300 times. *
I

Answers

Answer:

60 times

Step-by-step explanation:

There are a total of 5+6+7+3+4=25 marbles

Out of those 25 marbles, 5 are red.

Since there would be a 5/25=1/5 chance of selecting a red marble one time, then we can set up a proportion to find out how many red marbles Taylor will select out of 300 marbles.

1/5=x/300

(1)(300)=(5)(x)

300=5x

60=x

x=60

Therefore, using a probability model for this experiment, Taylor would pick up a red marble 60 times if she chooses a marble 300 times.

The equation a2 + b2 = ca represents the relationship between the three sides of a right triangle.
Hal leans a ladder that is 26 feet long against the side of a building. The base of the ladder is 10 feet from the side of the building.
How high up the side of the building is the top of the ladder?
A 24 feet
B 22 feet
C 28 feet
D 16 feet

Answers

Answer:

Step-by-step explanation:

I think you mean a² + b² = c², not ca.

a = 10, c = 26

b² = c²  - a² = 26² - 10² = 576

b = √576 = 24 ft

You are buying a new internet service. The service costs $75 per month. In the equation below, d is the
total number of dollars that you pay for your service, and t is the time (in months) that you keep the
service.
The relationship between these two variables can be expressed by the following equation:
d = 757
Identify the dependent and independent variables.
Help!!!

Answers

Answer:

The total number of dollars you pay:  Dependent

The time in months you keep your service:  Independent

1. What is 35% of 200?

Answers

Answer:

70 is 35% of 200

Step-by-step explanation:

Your welcome

Answer:

70 is 35 % of 200

Step-by-step explanation:

.35 × 200 = 70

please help !! find the missing sides

Answers

I had this question once in a test as well but instead 30° was there instead of 60° but I’m guessing the answer will be the same too. I’m pretty sure the answer is the last one “x=14 y=7”


What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x – 5y 20?

Answers

Answer:

y=-5x/4-2

Step-by-step explanation:

4x – 5y = 20

y = (4/5)x - 4

slope is 4/5

let new slope m:

(m)(4/5)=-1

m=-5/4

point slope form:

(y-3)/(x+4)=-5/4

y-3=-5x/4-5

y=-5x/4-2

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