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

The circle below represents one whole . …. What percent is represented by the shaded area ?

Answers

Answer:

50%

Step-by-step explanation:

shaded area = 2/4

shaded area as a percentage ;

     2 / 4 x 100

  = 1 / 2 x 100

  = 1 / 1 x 50

  = 50%

Find the slope (show your solution)

y=4x+5


please help me to answer this i really really need it

Answers

Ok so for this we need to use the gradient (slope) formula :
Y = Mx+c
The slop of the line is M
And the y intercept ( where it goes through on y axis) is C
So if we substitute that into ur equaton
Y = Mx +c
Y= 4x + 5
You can see that M ( the slope) is 4
And C ( y intercept) is 5



Use partial products to multiply

73

×

42

73×4273, times, 42.

Answers

Answer:

13,101,108

as in Thirteen million ,hundred and one thousand, one hundred and eight

A patio measures 4 yd long and 3 yd wide. What is the area in square meters? Round final answer to two decimal places

Answers

Answer:

Step-by-step explanation:

1 yd(36 in/yd)(2.54 cm/in) / (100cm/m) = 0.9144 m

(4(0.9144)) x (3(0.9144)) = 10.03352832 = 10.03 m²

I need to understand this can anyone explain me the easiest way please
Find f(g(2)).
f(x) = 2x + 1
g(x) = 5x

10

12

21

-14

Answers

Answer:

21

Step-by-step explanation:

First, we have to find g(2)

Plug in 2 in the g(x) equation

g(2) = 5(2) = 10

Now, we have f(10)

Pug in 10 in the f(x) equation

f(10) = 2(10) + 1

f(10) = 20 + 1 = 21

199 hares of two different colors, gray or white, gathered on a meadow. Every hare found the ratio of the number of hares of the other color to the number of hares of its color (including itself). What is the greatest value for the sum of all of these ratios?

Answers

Answer:

grey

Step-by-step explanation:

the greatest sum is 25

pls help quick Jack is selling lemonade at a stand outside his house. He is charging $1.50 per cup. He needs to make at least enough money to cover the cost of his supplies, which were $15.25. has anys 192 What is the minimum number of cups of lemonade Jack needs to sell?​

Answers

Answer:

11 cups

Step-by-step explanation:

1.50x10=15 and that wouldn't be the answer because, he needs to cover all of his supplies.  1.50x11=16.5, and that is enough money to cover all of his supplies. So he would need 11 cups total.

If $2,940.00 is invested for 4 months at 3.8% simple interest:
What is the amount of interest earned?

Answers

Answer:

I = $372.40

Step-by-step explanation:

Given the principal amount of $2,940, which is invested for 4 months at 3.8% interest rate:

Use the following simple interest formula to solve for the interest earned:

I = P × r × t

where:

I = interest earned

P = principal amount invested = $2,940

r = interest rate = 3.8% or 0.380

t = time = 4/12 months = ⅓ or 0.3333

Substitute to given values into the simple interest formula:

I = P × r × t

I = $2,940 × 0.380 × 0.3333

I = $372.40

Therefore, the simple interest earned in 4 months is $372.40.

2 dived by 49 with a remainder

Answers

Answer:

The answer is 24 with remainder of 1

Step-by-step explanation:

First, solve the problem by seeing what number gives you 4 when multiplied by 2. That would be 2 (2x2=4)

you subtract 4 by 4 to get zero and bring down the nine

Then you see which number would get you close to nine without overlapping when multiplied by two. That would be 4 (2x4=8)

your answer would be 24 then you subtract 9 by 8 to get a remainder of 1

Help me ASAP now like really fast

Answers

Answer: I think the answer is C.. It looks like an 180 angle from my perspective.

I hope that is correct

Answer:

C

Step-by-step explanation:

Well, we know all the angles must sum up to 180º. From this, we can write the equation ' 3xº + 80º + 2xº = 180º ', which is answer choice C

Thanksgiving Meal Challenge

Considering the final price of the meal, would you rather have a $25 gift

card to apply toward to total price or a 35% off coupon? Show your work

and explain.

Answers

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

Let y represent the price of the meal.

For a $25 gift card to be applied, the final price is:

Final price = y - 25

For a 35% off coupon, the final price is:

Final price = y - 0.35y = 0.65y

y - 25 < 0.65y

0.35y < 25

y < 71.42

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

Find out more at: https://brainly.com/question/25285332

This the right one click it so you can get it right

Answers

Answer:

The one highlighted yellow is the correct option

6 liters is to 72 km as 50 liters is to x km

a ratio is a comparison between two or more numbers or quantities

a. True
b. False​

Answers

The correct answer is true

32 is 40 percent of what number? A 12.8 B 128 C 114 D 124​

Answers

Answer: C

.Step-by-step explanation:

it was right for me so if its wrong im sorry :)

6. Find the percent of decrease from 24 to 18.

Answers

Answer:

25%

Step-by-step explanation:

24-18= 6

6 × 100 = 25%

24

Answer:

25% decrease

Step-by-step explanation:

find 1% of 24     24 divided by 100= 0.24

18 divided by 0.24 = 75

now 100 - 75 = 25

a submarine is submerged to a depth of 650 feet below sea level the ascends 225 feet. Determine the current position of the submarine

Answers

Answer:

Step-by-step explanation:

Ascending means moving towards the surface.

So the submarine is 340 feet below sea level.

The submarine ascends 76feet.

340

76

=

264

f

e

e

t

below sea level.

Answer: 425 feet

Step-by-step explanation:

650 - 225 = 425

ascend is positive

650 is technically negative

Which expression is equivalent to 45 divided by (2 - x)

Answers

Answer:

 45

---------

(2 - x)

Step-by-step explanation:

That would be:

 45

---------

(2 - x)

Also valid:  45/(2 - x)

Solve −3x2 + 30x − 90 = 0

Answers

Step-by-step explanation:

so, it is a quadratic equation :

-3x² + 30x - 90 = 0

the first thing we can do is divide by 3

-x² + 10x - 30 = 0

remember, the formula to solve and find the 2 solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here

a = -1

b = 10

c = -30

x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =

= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =

= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =

= 5 ± -sqrt(5)i

x1 = 5 - sqrt(5)i

x2 = 5 + sqrt(5)i

remember, i = sqrt(-1), a complex number.

Write an equation for the nth term of the arithmetic sequence 7,2,-3,-8,

Answers

Answer:

-5n+12

Step-by-step explanation:

find the difference which is -5

then find the difference from -5 to 7 which is 12

put it in the sequence

-5n+12

Answer:

-5n+12 that would be your equation                                        

Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost
among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.
$=

Answers

Answer:

250 - [tex]\frac{p}{24}[/tex]

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on  present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

250 - [tex]\frac{p}{24}[/tex]

Hence, the required expression will be

250 - [tex]\frac{p}{24}[/tex]

(Hope this helps can I please have brainlist (crown)☺️)

Solve
-14 - 7
A. -21

B. -7

C. 7

D. 21

Answers

Answer:

since negative and negative are plus we add it but not

change the sign

Step-by-step explanation:

so the answer is -21

hope I helped

Help needed with this asap

Answers

Answer:

x = 10

Step-by-step explanation:

RO and OQ are congruent

Since RO = 50, and RQ = 12x - 20,

OQ = 12x - 20 - 50 = RO

50 = 12x - 70

120 = 12x

x = 10

-Chetan K

X = 10 easy peasy . can i get marked brainlest

50 points! Help (Vectors)

Answers

Answer:

[tex]<8,10>[/tex]

Step-by-step explanation:

Answer:

Blue (8,10)

Step-by-step explanation:

2(4)=8

2(5)=10

Please please help please help me help please help me

Answers

Your equation should be y= 9/10x-5

A calculator is selling for $80 with an 8.5% tax. How much will you pay in tax for the calculator?

Answers

Answer:

$86.80

Step-by-step explanation:

Giving brainliest!
Starting at sea level, a submarine descended at a constant rate to a depth of −3/4 mile relative to sea level in 5/8 minutes.

The submarine continues to descend at the same rate. What is the submarine's depth relative to sea level after the first minute?

Answers

66 because of the equation and it does 50 ‘of 90

Answer:

Step-by-step explanation:

Let r be the rate of descent in miles per minute

-3/4 miles / 5/8 minutes

-3/4 • 8/5 = -24 / 20 = -1.2 mi/min

so in one minute

-1.2 mi/min (1 min) = -1.2 miles


A six sided die is tossed. Determine the odds against rolling a 3.

The odds are :

Answers

Answer:

1/6 because 3 is one of the sides of the 6

The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.

The total number of possible outcomes is 6, since there are six sides on the die.

Therefore, the odds against rolling a 3 are:

5:1

This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:

P(not rolling a 3) = 5/6

Alternatively, the probability of rolling a 3 is 1/6, so we can also say:

P(rolling a 3) = 1/6

And the probability of not rolling a 3 is:

P(not rolling a 3) = 1 - P(rolling a 3)

= 1 - 1/6

= 5/6

Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

To learn more on probability click:

https://brainly.com/question/11234923

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Five kittens are sharing 6 cups of milk equally. How much milk does each kitten get?

Answers

Answer:

1 1/5

Step-by-step explanation:

We know that there is 5 kittens that have to eat six bowls of milk

Each cat would get 1 whole bowl of milk. All the kittens have to share 1/5 of the sixth bowl of milk.

Five kittens are sharing 6 cups of milk equally so 1  1/5 cup of milk is given to each kitten.

What is meant by Mathematical expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Expressions in writing are made using mathematical operators such addition, subtraction, multiplication, and division.. For instance, the mathematical equation for "4 added to 2" will be 2+4.

Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations. For instance, the arithmetic operation 9 + 14/2 - 6*(5 + 3) results in -32.

Given,

6 cup of milk so there are 5 kitten

To give 6 cup of milk to 5 kitten is=6/5

= 6/5

=1  1/5

Therefore Five kittens are sharing 6 cups of milk equally so 1  1/5 cup of milk is given to each kitten.

To learn more about Mathematical expression refer to:

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Tom is reviewing his cell phone bill. When he gets to the text message part he notices that he send 1 text message in October,7 text messages in November, 49 messages in December,and 343 text messages in January. what kind of sequence is this?
a. arithmetic b. geometric c. both d. neither​

Answers

Answer:

it is c. both i guess anyways thanks

i hope you passed and sorry for taking your points

Step-by-step explanation:

pls help with number 12

Answers

9514 1404 393

Answer:

  a.  Zachary is correct

  b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3

Step-by-step explanation:

a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.

We can show the others are incorrect using a counter-example.

  (-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect

Tina's rule is not consistent with the commutative property of multiplication.

Aaron's rule applies to addition, but not to multiplication.

__

b. The example used above is one example. Here are two more.

  (-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect

  (5)(-2) = -10 . . . . Aaron's own example shows him incorrect

  (1)(3) = 3 . . . . . . agrees with all students' observations

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