Consider an x distribution with standard deviation o = 34.
(a) If specifications for a research project require the standard error of the corresponding distribution to be 2, how
large does the sample size need to be?
B) If specifications for a research project require the standard error of the corresponding x distribution to be 1, how large does the sample size need to be?

Answers

Answer 1

Part (a)

The standard error (SE) formula is

[tex]\text{SE} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]

where n is the sample size. We're given SE = 2 and sigma = 34, so,

[tex]\text{SE} = \frac{\sigma}{\sqrt{n}}\\\\2 = \frac{34}{\sqrt{n}}\\\\2\sqrt{n} = 34\\\\\sqrt{n} = \frac{34}{2}\\\\\sqrt{n} = 17\\\\n = 17^2\\\\n = 289\\\\[/tex]

So we need a sample size of n = 289 to have an SE value of 2.

Answer: 289

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

Part (b)

We'll use SE = 1 this time

[tex]\text{SE} = \frac{\sigma}{\sqrt{n}}\\\\1 = \frac{34}{\sqrt{n}}\\\\1*\sqrt{n} = 34\\\\\sqrt{n} = 34\\\\n = 34^2\\\\n = 1156\\\\[/tex]

Because we require greater precision (i.e. a smaller SE value), the sample size must be larger to account for this. In other words, as SE goes down, then n must go up, and vice versa.

Answer:  1156

Related Questions

I really need the help please and thank you

Answers

Answer:

B.  [tex]f^{-1}(x)=\frac{x-4}{5}[/tex]

Step-by-step explanation:

To find the inverse of a function/equation:

Replace f(x) with y: y=5x+4 Switch x and y: x=5y+4 Solve for y: x-4=5y   ->    [tex]y=\frac{x-4}{5}[/tex]Write in standard inverse notation: [tex]f^{-1}(x)=\frac{x-4}{5}[/tex]

I hope this helps!!

gl!

PLEASE HELP!
Suppose you want to purchase a house. Your take-home pay is $2920 per month, and you wish to stay within the recommended guidelines for mortgage amounts by only spending 14 of your take-home pay on a house payment. You have $15,900 saved for a down payment and you can get an APR from your bank of 4.05%, compounded monthly. What is the total cost of a house you could afford with a 15-year mortgage? Round your answer to the nearest cent, if necessary.

Answers

Answer:

Had a problem in school like this, all you gotta dois ta


Which description matches the function represented by the values in this
table?
X х
у
14
1
2
56
224
4
896
5
3584
O A. exponential decay
OB. linear growth
O C. linear decay
D. exponential growth

Answers

The given table represents Exponential growth.

Exponential growth:

The process of Quantity rising over time is called exponential growth. An exponential function is used to create an exponential growth curve, which represents a pattern of data that shows a rise over time. Where the Exponential decay helps to understand the rapid decrease in a period of time

Here we have

The table

х     1       2       3       4          5  

у    14     56    224    896    3584  

From the given table, we can observe that

[tex]\frac{14}{56} = \frac{56}{224} = \frac{896}{3584} = \frac{1}{4}[/tex]    

Since the absolute value of the common ratio is less than 1 i.e 1/4

And the values are increasing

Therefore,

The given table represents Exponential growth.

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Si una mujer gana más que su marido

Answers

Answer:

nada está bien gana bien.

Translate and solve: five less than z is 4

Answers

z -5 =4

neutralize the left -5 by adding 5 on both sides

z -5 (+5) = 4 (+5)

z = 9

Find the center and radius of the circle (x + 1)^2 + y^2 = 4

Answers

Answer:

(-1,0) r=2

Step-by-step explanation:

the equation of a circle can be written as (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y=-4x-5

Step-by-step explanation:

The slope of the line is - 4, the equation of line is y=-4x-5

What effect will replacing x with (x−4) have on the graph of the equation y=(x−3)2 y = ( x − 3 ) 2 ?

Answers

Answer:

y"= 2 wich is positive

Step-by-step explanation:

Step-by-step explanation:

Our equation is: y=(x-3)²

x should be replaced by x-4

y=(x-3)²

y=[(x-4)-3]²

y=(x-4-3)²

y=(x-7)²

The graph is still a parabola but with a different vertex

The vertex here is :

y= (x-7)²

y= x²-14x-49

y'= 2x-14

solve y'=0

2x-14=0

2x=14

x=7

You can easily find it without derivating by dividing -14 by -2

since: x²-14x-49

a=1 b= -14  c=-49

-b/2a = 14/2 = 7

the image of 7 is:

y=(7-7)² = 0

so the coordinates of the new vertex are (7,0) and it's a maximum

since y">0

y'= 2x-14

y"= 2 wich is positive

PLEASE HELP OR IM gonna FAILLLLLLLL!!!!!!!!

Answers

Answer:

C. 1/(4^10)

Step-by-step explanation:

Let's break it down: 4^-2 = 1/(4^2)(1/(4^2))^5 = (1^5)/(4^2)^5 = 1/(4^10)

help me please please plewse

Answers

The answer would be D.

Answer: D

Step-by-step explanation:

Pretend that C is 12, pi is 3, and d is 4. 4=3/12, 4=3*12, 4=12-3, or 4=12/3? The only one that works is that last one, so the and is D: d=C/pi

3. The product of three numbers geometric progression is l, their sum is -7÷3 . Find the numbers​

Answers

Answer:

below

Step-by-step explanation:

hope it is well understood

A plumber can do a job in 4 hours. When he and his 2 helpers do the job, they can finish it in 2 hours. If both helpers work at the same rate, how many hours would each helper take to do the job alone?

Answers

=4
cross multiply
4x2/2

PLEASE HELPPPPPP!!!!! THIS IS DUE ASAP PLEASEEE

Answers

Answer:

1

Step-by-step explanation:

list the numbers that are odd or greater than 2

1,2,3,4,5,6

aka every single outcome

therefore the answer is just 1

Answer:

5/6

Step-by-step explanation:

The possible outcomes are 1,2,3,4,5,6

Odd numbers are 1,3,5

Greater than 2 are 3,4,5,6

Good solutions are 1,3,4,5,6  = 5 outcomes

P( odd or greater than 2) = good solutions / total

                                          = 5/6

95% confident that the true mean difference in mean crying time after being given a vitamin K shot between infants using conventional methods and infants held by their mothers is between ____________and ___________________. In other words, the mean crying time of infants given vitamin K shot using conventional methods is anywhere from ______________ less than to _______________more than the mean crying time of infants given vitamin K shot using new methods.

Answers

Solution :

Two sample T-test and CI : Conventional methods, New methods

Two sample T for conventional method Vs new method

                                                  N        Mean           StDev     Se Mean

Conventional mean                 30        35.3              20.8         3.8

New methods                          30         35.1              22.3          4.1

Difference = μ (conventional method) - μ (new method)

Estimate for difference : 0.17

95% CI for difference : (-10.976, 11.309)

T-Test of difference = 0(vs <): T-value = 0.03   P-value =0.5119  DF = 57

95% confident that the true mean difference in mean crying time after being given a vitamin K shot between infants using conventional methods and infants held by their mothers is between -10.976 and 11.309. In other words, the mean crying time of infants given vitamin K shot using conventional methods is anywhere from -10.976 less than to 11.309 more than the mean crying time of infants given vitamin K shot using new methods.

Find the inverse of this matrix.
1 -1 -1
-1 2 3
1 1 4

Answers

Let's use Gaussian elimination. Consider the augmented matrix,

[tex]\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right][/tex]

• Add row 1 to row 2, and add -1 (row 1) to row 3:

[tex]\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right][/tex]

• Add -2 (row 2) to row 3:

[tex]\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right][/tex]

• Add -2 (row 3) to row 2:

[tex]\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right][/tex]

• Add row 2 and row 3 to row 1:

[tex]\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right][/tex]

So the inverse is

[tex]\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}[/tex]

Answer:

The answer is C

Step-by-step explanation:

PLATO

salifye pizza charges a base pizza of $12.77 for large plus 7.44 additional topping.
a) Find a function that models the price of a pizza with toppings.
Find the inverse of the function. What does−1 represent?
If a pizza costs $20.20, how many toppings does it have?

Answers

Answer:

Sharjah Call Girls +971529238486 | Call Girls In Sharjah

Step-by-step explanation:

Sharjah Call Girls and our group are very a good deal satisfied to participate withinside the boom of the leisure field. Lots of customers are touring Sharjah now no longer handiest for playing the splendor of the town however additionally to the sensual entertainments our profiles.

IF A= -35 , B = 10 , C= -5 verify that:-
a x (b+c) = a x b + a x c

Plz tell​

Answers

Answer:

see below

Step-by-step explanation:

a x (b+c) = a x b + a x c

Let A= -35 , B = 10 , C= -5

-35 * ( 10 -5) = -35 *10 + -35 * -5

-35 *(5) = -350 + 175

-175 = -175

Hey there, everyone!

I just wanted to shout out to all of those whom have helped me through my tortuous math homework and say thank you very much. XD

I manage to pass my very first year of high school without physically going to school.

It was a lot of twist and turns, I must say. But at least I managed to pass through!

Man, I'm gonna miss 2021 because now I'll have to ACTUALLY go to school. But when that day comes, I do hope you guys will continue helping me on!

In the mean time, stay safe everyone and thanks a lot!

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I really want to delete my account so badly but I can't because I forgot my password and I'm using my school email unfortunately. Anyone got a solution to my issue? :(

Answers

Answer:

I don't know the answer please tell me

If the terminal side of an angle (θ) goes through the point (4 , -3) what is (θ)?

Answers

Answer:

The family of directions of the given vector is represented by [tex]\theta = 323.130^{\circ} \pm 360\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

Step-by-step explanation:

According to the given information, vector stands in the 4th Quadrant ([tex]x > 0[/tex], [tex]y < 0[/tex]) and direction of the vector ([tex]\theta[/tex]) in sexagesimal degrees, is determined by following definition:

[tex]\theta = 360^{\circ} - \tan^{-1} \left(\frac{|y|}{|x|} \right)\pm 360\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Please notice that angle represents a function with a periodicity of 360°.

If we know that [tex]x = 4[/tex] and [tex]y = -3[/tex], then the direction of the vector is:

[tex]\theta = 360^{\circ}-\tan^{-1}\left(\frac{|-3|}{|4|} \right)\pm 360\cdot i[/tex]

[tex]\theta = 323.130^{\circ} \pm 360\cdot i[/tex]

The family of directions of the given vector is represented by [tex]\theta = 323.130^{\circ} \pm 360\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

Water is flowing into a tank at a rate of 20 cm3/min. At the start, there is 250 cm3 of water in the tank.
(i) How much water will be in the tank after 30 minutes?
(ii) Find the time when there is 1210 cm3 of water in the tank.

Answers

Answer:

i) 410 cm³

ii) 48 min

Step-by-step explanation:

we start with 250 cm³.

and then we fill in 20 cm³ per minute.

i)

after 30 minutes we have

250 + 8×20 = 250 + 160 = 410 cm³

ii)

how long (how many minutes) does it take to reach 1210 cm³ in the tank ?

well, first we subtract the start amount (250).

and then we see how often 20 cm³ will "fit" into the remainder. and then we know how many minutes the water has to run.

1210 - 250 = 960 cm³

so, the incoming water needs to reach 960 cm³ to have a total of 1210 cm³.

and

960 cm³ / (20 cm³ / min) = 960 cm³ min / 20 cm³ =

= 960 min / 20 = 48 min

A dairy needs 230 gallons of milk containing 6% butterfat. How many gallons each of milk containing 8% butterfat and milk containing 3% butterfat must be used to obtain the desired 230 gallons?

Answers

Answer:

138 gallons - milk containing 8% butterfat , 92 gallons -  milk containing 3% butterfat

Step-by-step explanation:

Firstly, find the quantity of butterfat in  the dairy needs of milk

230/100*6= 2.3*6=13.8 gallons of butterflat

1) Consider gallons each of milk containing 8% butterfat and milk containing 3%, suppose we need x gallons of milk containing 8 percents butterfat, then we need 230-x gallons of milk containing 3percent butterfat.

Then the quantity of the butterfat in the 8percents fat milk is x/100*8= 0.08x

the quantity of the butterfat in the 3percents fat milk is (230-x)/100*3=

=0.03 (230-x) = 6.9-0.03x The amount of butterfat of the both milk containing 8% butterfat and milk containing 3%is equal to 13.8 gallons

Then 0.08x+6.9-0.03x=13.8

0.05x=6.9

x=6.9/0.05= 138 -milk 8 percents

230-x= 230-138= 92

Suppose X has an exponential distribution with mean equal to 16. Determine the following:
(a) P(x >10) (Round your answer to 3 decimal places.)
(b) P( >20) (Round your answer to 3 decimal places.)
(c) P(x < 30) (Round your answer to 3 decimal places.)
(d) Find the value of x such that P(X 〈 x) = 0.95. (Round your answer to 2 decimal places.)

Answers

It’s c because when you round your answer to 3 decimal places is equal to 16


16. How many different words can be formed with the letters of the word 'RAJARAM'? In how many of
these,
(i) have two R and J always together?
(ii) being with Rand end with J?

Answers

(i) Take RRJ out and the rest letter is AAAM and permutation wise it should form 4! variations, may the 3As being Afirst, Asecond, and Athird. These three alone may form 3! permutations and when setting Afirst = Asecond =Athird one would have 3! sets of identical variations so 4!/3! = 4. And intuitively we can already see them: AAAM, AAMA, AMAA and MAAA. While inserting anything (in our case RRJ) back into a 4 letter queue, there are exactly 4+1 spots to insert (before every letter + behind the last letter) so for RRJ there would be 4*(4+1) variations which is 20. If considering RJR or JRR also applies to the answer, 20+20+20=60.

I need help on this math problem ​

Answers

Answer:

for the first one, simply add g(x) and h(x) :

x+3 + 4x+1 = 5x + 4

the second one, you would multiply them :

(x+3)(4x+1) = 4x^2 + 13x + 3

the last one, you would subtract :

(x+3)-(4x+1) = -3x + 2

and then substitute 2 for 'x' :

-3*2 + 2 = -6 + 2 = -4

Answer:

1. 5x+4

2. [tex]4x^2+13x+3[/tex]

3. -4

Step-by-step explanation:

1. (x+3)+(4x+1)

Take off the parentheses and Add.

5x+4

2. (x+3)(4x+1)

Use the FOIL method to multiply.

[tex]4x^2+x+12x+3[/tex]

[tex]4x^2+13x+3[/tex]

3. First, set up the equation as (g-h)(x)

(x+3)-(4x+1)

x+3-4x-1

Solve.

-3x+2

Substitute in 2 for x.

-3(2)+2

-6+2

-4

Dog food is sold in a 12 ½ pound bag. My dog, Max, eats a ¾ pound serving every day. How many servings of dog food are in the bag?

Answers

the pound bag has 25/2 of dog food, or 50/4

if the dog eats 3/4, and the pound has 50/4

[tex]\frac{50}{4} . \frac{4}{3} = \frac{50}{3}[/tex]

if you divide 50 by 3, you'll find 16,66666...

since you need full days, the answer is 16 days

hope it helps :)

What is the slope of a relation with ordered pairs of (-5, 3) and (4.1).

9/2
2/9
-9/2
-2/9
2
-2

Answers

3-1 /-5-4
2/-9
-2/9 is the answer

b Draw a picture to show 3:5= 6:10. Explain how your picture show equivalerit ratios.​

Answers

Answer:

3:5 = 6:10

3x2 : 5x2

= 6:10

Answer:

Step-by-step explanation:

Draw 3:5 balls shaded, and draw 6:10 balls shaded. Then, divide the 10 balls into two, with three shaded balls and 5 total balls on one side.

The one-to-one functions g and h are defined as follows.

Answers

Answer:

Step-by-step explanation:

The one-to-one functions g and h are defined as follows.

g={(-7,-6), (-5,4), (4,-7)(7,6)}

h(x)= 3x-14

Find the following.

g-1(4)=

"g-1(4)" just says "Find the pair of coordinates that has 4 for its

y-coordinate, and the answer is its x-coordinate".  So we look through those

and find (-5,4) is the only one of those up there that has a 4 for it's y-

coordinate, and so its x-coordinate is -5 and we write:

g-1(4)=-5  

The Required value for the function are:

1. g⁻¹(-3) = -1.

2. h⁻¹(x) = (x - 2) / 7.

3. (h o h⁻¹)(0) = -16/49.

1. g⁻¹(-3):

Looking at the pairs in g, we can see that (-1, -3) is the pair where the output is -3.

Therefore, g⁻¹(-3) = -1.

2. h⁻¹(x):

To find h⁻¹(x), we need to solve the equation h(y) = x for y.

The given function h(x) = (x - 2) / 7.

So, let's substitute y for h⁻¹(x):

(x - 2) / 7 = y

x - 2 = 7y

Now, solve for y by dividing both sides by 7:

y = (x - 2) / 7

Therefore, h⁻¹(x) = (x - 2) / 7.

3. (h o h⁻¹)(0):

To find (h o h⁻¹)(0), we need to evaluate the composition of h and h⁻¹ at 0.

First, we find h⁻¹(0):

h⁻¹(0) = (0 - 2) / 7 = -2/7

Now, we substitute h⁻¹(0) into h:

h(h⁻¹(0)) = h(-2/7) = (-2/7 - 2) / 7 = (-2 - 14) / 49 = -16/49

Therefore, (h o h⁻¹)(0) = -16/49.

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An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 47.0. Assume the population standard deviation is known to be 1.9. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer:

Test statistic = 1.664

Step-by-step explanation:

The hypothesis :

H0 : μ = 47.2

H1 : μ ≠ 47.2

Given that :

Sample mean, xbar = 47

Sample size, n = 250

Standard deviation, σ = 1.9

The test statistic :

(xbar - μ) ÷ (σ/√(n))

T = (47 - 47.2) ÷ (1.9/√(250))

T = (0.2 / 0.1201665)

Test statistic = 1.664

Write the sum using summation notation, assuming the suggested pattern continues.

2, -10, 50, -250, +…

Is this sequence arithmetic or geometric? How do you know?

Answers

Answer:

Step-by-step explanation:

It's geometric. The nth term differs by -5 when compared to the n+1 term.

Sum 0 to n a(-5)^n-1 where a = 2

I think this is what you want, but there is also a formula. See below.

Sum = a (r^n - 1)/(r - 1)

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