Although the first quarter of 2002 was quite dismal on Wall Street, mutual funds investing in gold companies rose an average of 35.2%. Assume that the distribution of returns in the first quarter of 2002 for mutual funds specializing in gold companies is fairly symmetrical with a mean of 35.2% and a standard deviation of 20%. If random samples of 16 gold stock funds were selected:

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Answer 1

Complete Question

Although the first quarter of 2002 was quite dismal on Wall Street, mutual funds investing in gold companies rose an average of 35.2%. Assume that the distribution of returns in the first quarter of 2002 for mutual funds specializing in gold companies is fairly symmetrical with a mean of 35.2% and a standard deviation of 20%. If random samples of 16 gold stock funds were selected:

 90% of the sample mean returns are between what two values symmetrically distributed around the mean?

Answer:

The two values symmetrically distributed around the mean  are  

   21.87\%   and  43.17\%

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 16[/tex]

  The sample  mean is  [tex]\= x = 0.352[/tex]

    The standard deviation is  [tex]\sigma = 0.20[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n -1[/tex]

=>   [tex]df = 16 -1[/tex]

=>   [tex]df = 15[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at  a degree of freedom of [tex]df = 15[/tex]  is  

   [tex]t_{\frac{\alpha }{2} , 15 } =  2.13 [/tex]

Generally the margin of error is mathematically represented as  

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

=>    [tex]E = 2.13  *  \frac{ 0.20  }{\sqrt{16} }[/tex]  

=>    [tex]E = 0.1065 [/tex]  

Generally 90% confidence interval is mathematically represented as  

      [tex]0.3252  -0.1065 <  \mu < 0.3252  + 0.1065 [/tex]

=>   [tex]0.2187  <  \mu < 0.4317 [/tex]

converting to percentage

      [tex]0.2187 * 100   <  \mu < 0.4317 * 100  [/tex]

=>    [tex] 21.87\%   <  \mu <  43.17\%  [/tex]  

Hence   the 90% of the sample mean returns are between 21.87\%  and 43.17\%

   


Related Questions

If a, b are real numbers and 7a + i(3a - b) = 14 - 6i , then find the values of a and b.

Answers

If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.

The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.

What is a complex number?

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.

The equation is given below.

7a + (3a - b)i = 14 - 6i

Compare the real part of the equation, then we have

7a = 14

a = 14 / 7

a = 2

Compare the imaginary part of the equation, then we have

3a - b = - 6

3 x 2 - b = -6

6 - b = - 6

b = 6 + 6

b = 12

The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.

More about the complex number link is given below.

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Help me please please

Answers

Step-by-step explanation:

hold on

The correct answer is 4/35
Hope that helps

This is just a made up question I made.

6(2 + 9) - 11

Answers

Answer:

55

Step-by-step explanation:

2+9=11x6=66-11=55

Divide. Write the quotient in lowest terms. 1 7/9÷4/5

Answers

Answer:

2 units and 2/9

Step-by-step explanation:

Answer: 236.25

Step-by-step explanation:

Determine whether the graph represents a proportional relationship. (4 points) A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels. Group of answer choices Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin

Answers

Answer:

No, it is not a proportional relationship because the graph does not go through the origin

Step-by-step explanation:

I belive the is the answer, I took this quiz as well. The line is straight but it does not go throught the origan.

Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the varlable h to represent the number of hours.​

Answers

Answer: its 20.5 i think i hope its right

Step-by-step explanation:

Answer: The equation is: 11+5.75h=19+4.5h The total cost of the services will be equal at 6.4 hours

Step-by-step explanation:
11 + 5.75h = 19 + 4.5h

-11 from both sides

5.75h = 8 + 4.5h

-4.5h from both sides

1.25h = 8

8 / 1.25 = 6.4,

Therefore, h=6.4

A particular computer takes 11 minutes to download a 33-minute TV show. How long will it take the computer to download a 2-hour movie?
It will take the computer minutes to download a 2-hour movie.
(Type an integer or a decimal.)

Answers

Answer:

i got 42 minutes

Step-by-step explanation:

Answer:

40 Minutes

Step-by-step explanation:

1 Min In real life= 3 Minutes in downloaded movie

10 Min in real life= 30 Minutes in downloaded movie

20 Min in real life= 60 Minutes in downloaded movie

30 Min in real life= 90  Minutes in downloaded movie

40 Min in real life= 120 Minutes in downloaded movie

Hopefully that helps! Also can I get Brainliest

Help me please also put in the comments how to mark you brainilest if you get it correct

Answers

Answer:

4: 60

5: 96

Step-by-step explanation:

6 times 10

8 times 12

Answer:

4 is 60

5 is 96

Step-by-step explanation:

Light bulbs cost £2.90 each.
Yasmin buys as many as she can with £20.
How much change should she get?

Answers

Answer:

$2.60

Step-by-step explanation:

first you need to see how many time 2.90 goes into 20 it is 6, so then you multiply 2.90 times 6 and get 17.40. Lastly you subtract 17.40 from 20 to get 2.60

Hope this helps

Answer:

$2.60

Step-by-step explanation:

plz do this ill mark brainly and its worth 15 points plz​

Answers

Answer:

Step-by-step explanation:

9. discount is 9 dollars. sale price is 36 dollars

10. discount is 135 dollars sale price is 315

11. discount is 7.20 dollars, sale price is 41.80

12. discount is 37.50. sale price is 112.50

13. discount is 590. sale price is 870

14. discount is 42. sales price is 42

15. discount is 32.50. sales price is 292.50

16. discount is 29.75. sales price is 56.25

17. The similarities is that there's a difference in the original price, usually in a percentage. The difference is that a markup is a increase whereas a discount is a decrease

Answer:

just look up the questions on the internet

for exaple look up 20% of 45 is what for discount then do 45-discount=sales price

Step-by-step explanation:

how much of a 3/4 of cup serving is in a 2/3 cup of yogurt?

Answers

Answer:

8/9

Step-by-step explanation:

could i have brailiest plz it  isnt a must tho thx

What type of number cannot be written as a fraction p/q , where p and q are integers and q is not equal to zero

Answers

9514 1404 393

Answer:

  irrational

Step-by-step explanation:

A number that can be written as the ratio of two integers is called a "rational" number. If it cannot be written that way, it is called an "irrational" number

Irrational numbers cannot be written as a fraction of p/q.

Rational numbers can be written as a fraction of p/q.

NEED ASAP
Which value is the solution for the equation tanx/2=1
pi/2
pi/4
3pi/4
3pi/2

Answers

Answer:

a ) π/2, 4π/3, 3π/2. 5π/3.

Step-by-step explanation:

2 sin t cos t + √3 cos t = 0

cos t ( 2 sin t + √3 ) = 0

Therefore:

cos t = 0,   t 1 = π/2,  t 2 = 3 π/2

or:

2 sin t + √3 = 0

2 sin t = - √3

sin t = - √3 / 2

t 3 = 4 π/3,  t 4 = 5 π/3

Answer:

I think its the first option

HELP PLEASE!! NUMBER ONE OR TWO PLEASE!

JUST SHOW ME HOW TO DO IT! THANK YOU BUNCHES!xoxo

Answers

Answer:

Step-by-step explanation:

1. 6, ?, ?, ?,102

a0 =6

a1=?

a2=?

a3=?

a4=102

an= a0+n*d

a4= 6+ 4*d=102 so 4d= 102-6=96, so d=96/4=24

d=24

a1 = 6+24=30

a2 =30+24=54

a3 =54+24=78

In 7 hours of driving, Vince travelled 364 kilometers. If he travels at the same rate, what distance will he travel in 12 hours? kilometers

Answers

Answer:

 52 times 12 = 624

Step-by-step explanation:

364 divided 7 = 52

52 times 12 = 624

State the solution(s)
x²+12x+32=0​

Answers

The answer is X=-8and -4

Ram has 35 gel pens.. please help this is for kahn academy

Answers

Answer:

After the 35 gel pens??

Step-by-step explanation:

What is 350,000 as a whole number and a power of ten

Answers

Answer:

350,000 add ten more zeros

Step-by-step explanation:

350,000¹⁰ 350,000 000,0000

Select all the correct answers.
Which expressions are equivalent to this exponential expression?
(52)-3.54
5-4
25
0 0 0 0 0
52
5-1
051
Reset
Reset
Next

Answers

Answer:

first and third and fifth

Step-by-step explanation:

big brain time

Answer:

25 and 5^2

5 to the power of two is 25, because 5 * 5 is 25. Therefore the two are the same.

Step-by-step explanation:

♩ What can I say except your welcome? ♪ ♫

Your realized income from your primary job is $2,034.24/month. Your fixed expenses are 30% of your primary job’s realized income. You have a second job that pays $9.50/hr with deductions of FICA (7.65%), federal tax withholding (11.5%), and state tax withholding (7.75%). If you want to save enough in the next 10 months to have an emergency fund that will cover 5 months using only 20% of your discretionaries from your primary job, how many hours per month do you need to work at your second job to meet your monthly savings goal?

Answers

Answer:

Step-by-step explanation:50.98%

Answer:

3

Step-by-step explanation:

i just took it lol

Ms. Sacksteader owns a grocery store. She buys 272 pounds of potatoes for $99. She wants to sell them for twice as much. She makes 9 bags containing 10 pounds each and puts the rest in 5-pound bags. Her family will eat any of the leftover potatoes. Ms. Sacksteader wants to know how many 5-pound bags of potatoes she can sell. How much money will ms. Sacksteader make fir the 5 lb bags

Answers

Answer:

b

Step-by-step explanation:

Please help I don't understand this

Answers

Answer:

First equation: No solution

Second Equation: One solution

Third equation: Infinitely many solutions

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Solve the following quadratic equation
2x²+7x=15​

Answers

Answer:

x = - 5 ; x = 3/2

Step-by-step explanation:

Start by subtracting 15 from both sides to get to an equation in standard form:  a x^2 + b x + c= 0  so we can use the quadratic formula to solve for "x".

2 x^2 + 7x - 15 = 0

Then:

[tex]x=\frac{-7+/-\sqrt{49-4(2)(-15)} }{4} \\x=\frac{-7+/-\sqrt{169} }{4}\\x=\frac{-7+/-13}{4}\\x =-5\\or\\x=3/2[/tex]

The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52.



.Item. .Price Per Pound.
.Fruit Chews. - $4.70
.Jelly Beans. - $2.35
.Chocolate. - $3.50


.If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?

Answers

Answer : 11.80$

Step-by-step explanation:

He spends 8.70$ on Fruit chews and..

4.50 $ on jelly beans

add them up then subtract them by the amount of money he already has

BRAINLIST ???

Answer:

He had 10.85 left

Step-by-step explanation:

Fruit chews 4.7 x 1.6 = 7.52

Jelly beans 2.35 x 2.6 = 6.11

7.52 + 6.11 + 0.52 = 14.15

25 - 14.15 = 10.85

Help please urgent thanks

Answers

Answer:

The answer is 2/10 and 2/10

(A)

What is the formula for calculating a residual value

Answers

The formula to figure residual value follows: Residual Value = The percent of the cost you are able to recover from the sale of an item x The original cost of the item. For example, if you purchased a $1,000 item and you were able to recover 10% of its cost when you sold it the residual value is $100!!

The residual value indicates how well the regression model fits the observed data, with a residual of zero indicating a perfect fit.

In the context of linear regression analysis, the residual value represents the difference between the observed value of the dependent variable and the predicted value. The formula for calculating the residual value can be expressed as:

Residual = Observed Value - Predicted Value

To calculate the residual value, you need to have a regression model that predicts the value of the dependent variable based on the independent variable(s). Once you have the predicted value, you subtract it from the corresponding observed value to obtain the residual.

For example, if you have an observed value of 10 and the predicted value from the regression model is 8, the residual would be:

Residual = 10 - 8 = 2

The residual value indicates how well the regression model fits the observed data, with a residual of zero indicating a perfect fit.

To know more about residual value visit:

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4t^2-6 when t is 3
Math question

Answers

Answer:

30

Step-by-step explanation:

4t^2-6 when t is 3

Since we know t=3, we can substitute that in

4(3^2) - 6

Simplify.

3^2 = 9

= 4(9) - 6

= 36 - 6

= 30

What is 2.685 rounded to the near tenth

Answers

Answer:

2.7

Step-by-step explanation:

To round 2.685 to the nearest tenth consider the hundredths’ value of 2.685, which is 8 and equal or more than 5. Therefore, the tenths value of 2.685 increases by 1 to 7.

1. Define y-intercept of a line?
2. In the slope intercept form: y=mx+b, what do the variables x, y, m, b stand for?
3. Define Slope of a line. Define Rise and Run. What are the four types of slope?

Answers

1. The y-intercept of a line is on a graph where a line crosses through the y axis.

2. b is the y- intercept and m is the slope. For example something using y=mx+b could be written like y=3x+2 if the y-intercept is 2 and the slope is 3.

3. The slope is what describes the direction and steepness of a line on a graph. Rise and run mean that when you find a slope you must first find the rise over run. You must go from one dot on a graph to the next by first going up or down to where that you are on the same number on the y axis that the next point is, next go on the x axis and go left or right until you have reached the next point. For example if you went up 3 and over 2, the rise would be 3 and the run would be 2. The slope in that situation would be 3/2.

Hope this helps you.

Do the steps below on the graphing calculator:

Graph the points (2,6) and (6,8).

Define the equation y = mx + b.

Define the variable m = 1.

Define the variable b = 10.

What happens if you increase the value of m from 1 to 2?

✔ The line gets steeper.

Find the values of m and b that cause the graph to pass through the two points plotted.

m = ✔ 0.5

b = ✔ 5

Directions are on the picture. I just need to figure out

Answers

Answer:

Bruh so easy hahahahahaha

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