$MathMaster logo$

MathMaster

Home
general
find the indicated probability and interpret the result from 1975 through 2020 the mean annual gain of the dow jones indus

Question

Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 651. A random sample of 35 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 700? Assume sigmaequals1540. Question content area bottom Part 1 The probability is enter your response here. (Round to four decimal places as needed.)

75

likes

376 views

Answer to a math question Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 651. A random sample of 35 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 700? Assume sigmaequals1540. Question content area bottom Part 1 The probability is enter your response here. (Round to four decimal places as needed.)

$Expert avatar$

4.4

102 Answers

Given:
Population mean (

\mu

) = 651
Population standard deviation (

\sigma

) = 1540
Sample size (

n

) = 35

To find the probability that the mean gain for the sample was between 400 and 700, you need to first calculate the standard error of the mean:

SE = \frac{\sigma}{\sqrt{n}}

SE = \frac{1540}{\sqrt{35}} \approx 260.65

Next, calculate the Z-scores for both 400 and 700:

Z_{400}=\frac{400 - 651}{260.65}\approx-0.964

Z_{700}=\frac{700 - 651}{260.65}\approx0.188

Using a Z-table or calculator, find the probabilities corresponding to these Z-scores:

The answer is:

0.4029

Frequently asked questions (FAQs)

What are the solutions to the quadratic equation: x^2 - 3x - 10 = 0?

+

Question: What is the y-intercept of the logarithmic function f(x) = log(x+3) - 2?

+

What is the third derivative of the cubic function f(x) = x^3?

+

New questions in Mathematics

Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?

5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.

Determine the equations of the lines that pass through the following points P1 (2;-1) and p2 (4;-1)

[(36,000,000)(0.000003)^2]divided(0.00000006)

You are planning to buy a car worth $20,000. Which of the two deals described below would you choose, both with a 48-month term? (NB: estimate the monthly payment of each offer). i) the dealer offers to take 10% off the price, then lend you the balance at an annual percentage rate (APR) of 9%, monthly compounding. ii) the dealer offers to lend you $20,000 (i.e., no discount) at an APR of 3%, monthly compounding.

Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.

Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)

Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}

19) If the temperature of -8°C decreases by 12°C, how much will it be? a)-20°C -4°C c) 4°C d) 20°C

Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.

Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J

nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north

How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7

Arturo had hospitalization expenses of $8,300. Your policy for medical expenses Seniors have a deductible of $500 and expenses are paid at a 20% coinsurance. These are the first expenses ever this year, how much will Arturo have to pay in your bill for hospitalization expenses?

Recall that with base- ten blocks, 1 long = 10 units, 1flat = 10 long, and a block = 1 unit. Then what number does 5 flat, 17long and 5 units represent represent ?

y’’ -4y’ +4y = (12x^2 -6x)e^2x Y(0)= 1 Y’(0)=0 Y(x)=c1y1+c2y2+yp

Two trains leave stations 294 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hourHow long will it take for the two trains to meet?

I have a complex function I would like to integrate over. I can use two approaches and they should give the same solution. If I want to find the contour integral ∫𝛾𝑧¯𝑑𝑧 for where 𝛾 is the circle |𝑧−𝑖|=3 oriented counterclockwise I get the following: ∫2𝜋0𝑖+3𝑒𝑖𝑡⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯𝑑(𝑖+3𝑒𝑖𝑡)=∫2𝜋03𝑖(−𝑖+3𝑒−𝑖𝑡)𝑒𝑖𝑡𝑑𝑡=18𝜋𝑖 If I directly apply the Residue Theorem, I would get ∫𝛾𝑧¯𝑑𝑧=2𝜋𝑖Res(𝑓,𝑧=0)=2𝜋𝑖

Construct a set of six pieces of data with mean, median, and midrange of 67 and where no two pieces of data are the same.