Suppose you plan to take a survey of Math 146 students asked about their overall grades at CBC. 22 students were surveyed, and it was found that the average GPA of the 22 sampled students was a 3.2, with a standard deviation of 0.9 points. Suppose you want to re-sample the population to reduce the margin of error. If you plan to calculate a 90% confidence interval for the true mean GPA of Math students, how many samples would be necessary to reduce the margin of error to 0.2 points?

Answers

Answer 1

Step-by-step explanation:

we have the data set given below here and using it, we want to find the sample mean X. Bar, the sample standard deviation S. And constructed 99% confidence interval for the population we knew, assuming the population is normally distributed. So since we have this data we can find expire and s using the appropriate definitions expire, is that some of the data divided by n 2.353 and s. Is the square root of the sum of deviations of the mean square divided by n minus one. In this case 1.3 Now with X. Bar and sample standard deviation S, we can use a student's t distribution to construct this confidence interval. So we can identify the appropriate T score. So for the degree of freedom and minus one equals 14 and critical values um providing probability 140.99 for the confidence interval,  to identify T C equals 2.977 Now, with this T. C, we can identify the margin of error E, which is given by this formula plugging in our T C. S and N. We obtain E equals 0.572 And now plugging into our confidence interval formula, which is that new falls between a sample mean minus C, and sampling plus E gives us our confidence interval. That new is between 1.781 and 2.9 to 5 with 99% confidence.


Related Questions

HELP QUICK!!! I Really need the answer l'll give you ten points.

Answers

45 because there is a three on the top so 15 times 3 is 45 :)
15 x 31 = 465 this is the greatest number because 15 x 32 = 480

A square is 3 inches by 3 inches. What is its area

Answers

Answer:

9

Step-by-step explanation:

Because area is multipication, you need to multiply legth and width. So 3x3=6. Hope it helps! :)

Please help do this

Answers

Answer:

1)m+5q=1+5x5 =262)(y-x^3)=3-1^3 =3-1 =23)q(p+2)=3(3+2) =3(5) =154)y+y-x=5+5-6 =10-6 =45)(z+y)÷6=6+6÷6 =26)h(j-h)=3(6-3) = 3x3=97)x+y+y = 5+2+2=98)z^2-y =9-4=59)b(4+a)=2(4+6) =2x10 =2010)m-n+m =5-1+5 = 4+5 =911)(h+j)÷6 = (2+4)÷6 = 1

mark as brainliast plz

6. Suppose that a password for a computer system must have at least 6, but no more than 9 characters, where each character in the password is a lowercase English letter, or an uppercase English letter, or a digit, or one of the five special characters *, <, >,!, and #.

(a) How many different passwords are available for this computer system?

(b) How many of these passwords contain at least one occurrence of at least one of the five special characters?

(c) Using your answer to part (b), determine how long it takes a hacker to try ev ery possible password, assuming that it takes one microsecond for a hacker to check each possible password.

Answers

a. There are 26 letters in the English alphabet, with two cases for each letter; 10 numerical characters in the range 0-9; and 5 special characters; thus a total of 26•2 + 10 + 5 = 67 characters.

Any character can be used more than once, so there are

67⁶ + 67⁷ + 67⁸ + 67⁹

or 27,618,753,243,839,080 total possible passwords.

b. If we require at least 1 special character, then there are 62 choices for each ordinary character we use and 5 for each special character.

Suppose we use a password of length 6. Then there are

62⁵•5¹ + 62⁴•5² + 62³•5³ + 62²•5⁴ + 62¹•5⁵ + 62⁰•5⁶

or

[tex]\displaystyle \sum_{k=1}^6 62^{6-k}\cdot5^k[/tex]

We count the longer passwords in a similar fashion:

[tex]\displaystyle \sum_{m=6}^9 \left(\sum_{k=1}^m 62^{m-k}\cdot5^k\right)[/tex]

or 1,206,930,268,794,100 total passwords

c. 1 second (s) is equal to 10⁶ microseconds (μs). If it takes 1 μs to try 1 password, then it would take

(1,206,930,268,794,100 passwords) • (1 μs / password) • (1 s / 10⁶ μs)

= 1,206,930,268.7941 s

= (1,206,930,268.7941 s) • (1 min / 60 s)

≈ 20,115,504.4799 min

≈ (20,115,504.4799 min) • (1 h / 60 min)

≈ 335,258.408 h

≈ (335,258.408 h) • (1 day / 24 h)

≈ 13,969.1003 days

≈ (13,969.1003 days) • (1 year / 365 days)

38.2715 years

The total age of a cat, dog, and a monkey is 4 years 2 months. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?

Answers

Answer:

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

Step-by-step explanation:

whats the answer can someone answer please​

Answers

Answer:

b and c

Step-by-step explanation:

What is the answer to this question?

Answers

Answer:

The answer should be A.

Step-by-step explanation:

1. What is the slope of this graph?
2. What is the y-intercept for the graph?

Answers

Answer:

ndjsjz

Step-by-step explanation:

ujz d d f f f g f tt r r r r r r r r r r0

8nnnnjjj

can some one awnser this i got 2 more questions for this test.

Answers

Answer:

and question is

Step-by-step explanation:

Solve for x. x+12√=x√+2

Answers

[tex]x = - \frac{2 \sqrt{3} + 12 }{11} [/tex]

hope it helps

see the attachment for explanation

[tex] \: [/tex]

Need help please need help

Answers

Answer:

b.y=4

c. x=6

These are the answers hope this helps

Answer:

sorry cant help

Step-by-step explanation:

What’s 3 plus 3 please help I don’t the answer

Answers

Answer:

6

Step-by-step explanation:

3+3=6 lolzzz ik u already knew that but im taking dem points!!!

A square piece of paper has a perimeter of 36 cm. What is the area of a square piece of paper with twice that perimeter? *
323 sq.cm
324 sq.cm
81 sq.cm
---------------------
( perimeter = l+ b )
(area = l × w )
(l= length)
(b= breadth )
(w= width) ​

Answers

Answer:

Area= 18 x 18=324 sq.cm

Step-by-step explanation:

p=36 x2=72 (as it is twice that of the original paper)

since it is a square, length of 1 side = 72/4= 18

so, the area = l x l= 18 x 18= 324 sq.cm

Answer:

Area= 18 x 18=324 sq.cm

Step-by-step explanation:

p=36 x2=72 (as it is twice that of the original paper)

Since it is a square, length of 1 side = 72/4= 18

Therefore, the area = l x l= 18 x 18= 324 sq.cm

Hope this helps :)

What is the y-intercept of the graph of the equation [tex]y=x(1/4) - 2/3[/tex]


A. -2/3

B. 2/3

C. -1/4

D. 1/4

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x - [tex]\frac{2}{3}[/tex] ← is in slope- intercept form

with y- intercept c = - [tex]\frac{2}{3}[/tex] → A

In Martin's class of 20 students, 4 students report that social studies is their favorite class and 75% of the students report that PE is their favorite class. Show your work to explain how to determine whether more students prefer social studies or PE. (5 points)
pls Help!

Answers

Answer:

More students like PE

Step-by-step explanation:

100÷20=5

1 student = 5%

4×5=20

20% students favourite is social studies

75%>20%

Will someone PLEASSSSSSEEEEEEEE help me

Answers

Answer:

C

Step-by-step explanation:

i did the math she needs to wake up at 8:00

Find the area of grass

Answers

Answer:

125m²

Step-by-step explanation:

find the area of ​​the green rectangle and remove the area of ​​the yellow rectangle

(12 - 2) * (16 - 2) - (6 * 2.5) =

10 * 14 - 15 =

140 - 15 = 125m²

Help help help please 2 more questions please please

Answers

it is first dilated by 4 and then reflected across the y-axis

please help :( ill give 40 points

Answers

Answer:

1. distance and time are the variables. 2. the variables are related by the speed of the car

A random number generator generates numbers from 1 to 10. What is the probability that the number generator generates a 3 ?

Answers

Answer:

1/10

Step-by-step explanation:

the probability is that it will be 1/10

(-5)⁶ ÷ (-5)⁸
Solution​

Answers

The answer is 1/25. I hope it helps you


Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions

(1/3) ² +1 and 2 - 8/9

(1+ 1/5)^2 and 2
16/25

Answers

Equations are expressions with equal values

(1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign(1+ 1/5)^2 and 2  16/25 do not form an equation when joined together with an equals sign

(a) (1/3) ² +1 and 2 - 8/9

Rewrite as:

[tex]\mathbf{(1/3)\² +1 = 2 - 8/9}[/tex]

Evaluate the exponent

[tex]\mathbf{1/9 +1 = 2 - 8/9}[/tex]

Take LCM

[tex]\mathbf{1\frac 19 = \frac{18- 8}{9}}[/tex]

[tex]\mathbf{1\frac 19 = \frac{10}{9}}[/tex]

Simplify

[tex]\mathbf{1\frac 19 = 1\frac{1}{9}}[/tex]

Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign

(b) (1+ 1/5)^2 and 2  16/25

Rewrite as:

[tex]\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}[/tex]

Take LCM

[tex]\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{\frac{36}{25} =2\frac{ 16}{25}}[/tex]

Rewrite as:

[tex]\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}[/tex]

Hence, (1+ 1/5)^2 and 2  16/25 do not form an equation when joined together with an equals sign

Read more about equations at:

https://brainly.com/question/13636476

Answer:

(1/3)^2 + 1 and 2 - 8/9 : Yes

(1 + 1/5)^2 and 2 - 16/25 : No

Use properties to evaluate 1/3 (-5 ÷ 1/2 ) 1/4?

A. - 5/2
B. 5/8
C. - 5/8
D. 5/2

Answers

I believe the correct answer is C

i need help on this math problem

Answers

Answer:

I cant Really type the thing out, i posted a screen shot

Step-by-step explanation:

Who could help me out on these questions there is a store to it ! Asap pleaseee

Answers

where is the passage?

if b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form

Answers

Answer:

3p² + 32p + 13

Step-by-step explanation:

Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13

Answer:

3p² + 32p + 13

Step-by-step explanation:

3p² + 32p + 13

using agona} John ran 6/7 per day, he already for 8days. what is the total distance that he ran for 8 days ?

Answers

The correct answer is 16

Work out the missing numbers
-6x_= -30
-6x_= 0
-6x _=18
_x-6= -54

Answers

Answer:

1. 5

2. 0

3. -3

4. -38

Step-by-step explanation:

from 1 to 4 i answered and solved hope its helpful

here's my question. ​

Answers

Answer:

30 Chocolates

Step-by-step explanation:

The box was new and therefore full, so it had 5/5 of chocolates left.

When Bob ate 18, 2/5 were left, so he must have eaten 5/5 - 2/5 or 3/5 of the chocolates:

5/5 - 2/5 = 3/5

You know that 3/5 of the chocolates are 18, as he ate 18 chocolates. Divide 18 by 3 to get 6:

18 / 3 = 6

This is 1/5 of the chocolates. Multiply this by 5 to get 30:

6 * 5 = 30

This is 5/5 of the chocolates and therefore the total is 30 chocolates.

The equilateral triangle with side 12 has altitude

Answers

Answer:

C

Step-by-step explanation:

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