answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GenaCL600
1 month ago
14

A journalist wants to determine the average annual salary of CEOs in the S&P 1,500. He does not have time to survey all 1,50

0 CEOs but wants to be 95% confident that his estimate is within $50,000 of the true mean. The journalist takes a preliminary sample and estimates that the standard deviation is approximately $449,300. What is the minimum number of CEOs that the journalist must survey to be within $50,000 of the true average annual salary? Remember that the z-value associated with a 95% confidence interval is 1.96.
Mathematics
1 answer:
Inessa [12.5K]1 month ago
8 0

Answer:

At least 315

Step-by-step explanation:

A journalist intends to find the average annual salary of CEOs within the S&P 1,500. Due to time constraints, a sample is used.

Standard deviation of the sample (s) = 449300

Sample size = n

Permissible margin of error = 50000

Z critical value = 1.96

Thus, 1.96 times the standard error equals 50000.

Standard error equals 25510.20

Standard deviation divided by the square root of n = 25510.20

By simplifying, we can derive:

\sqrt{n} =\frac{449300}{25510.20} =17.752\\n=315\\

Thus, the minimum sample size required is 315.

You might be interested in
Which of the following transformations has the same result as a rotation of ninety degrees clockwise?
lawyer [12517]
The correct choice is C.
5 0
11 days ago
Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in wi
Inessa [12570]

Respuesta:

Explicación paso a paso:

V=1/2lbh

V=1/2×15×8×6

V=360pulgadas

7 0
1 month ago
Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayl
lawyer [12517]
To calculate this, a specific formula will be necessary. Years = log (total/principal) / [n * log (1 + rate / n)]. Part A) For Calvin: $400 at 5% monthly results in $658.80; Time =? Monthly compounding, n = 12. Thus, Years = log(658.80/400) / [12 * log(1+ (.05/12))]. Subsequently, Years = log( 1.647) / (12 * log(1.0041666667)). Then, Years = 0.21669359917 / 12 * 0.0018058008777. Thus resulting in Years = 0.21669359917 / 0.0216696105. Ultimately, Years ≈ 9.999884362. Part B) For Makayla: $300 at 6% quarterly yields $613.04; Time=? Quarterly compounding, n = 4. Therefore, Years = log(613.04/300) / [4 * log (1 +.06/4)]. This results in Years = log(2.0434666667) / (4 * log(1.015)). Years thus equals 0.31036755784 / (4 * 0.0064660422492), resulting in Years ≈ 11.9999044949. The approximate difference is about 3 years.
3 0
15 days ago
Read 2 more answers
In a circle, an arc 60 centimeters long subtends an angle of 5 radians. What is the radius of the circle?
Inessa [12570]
Got it!
There are 2π radians in a complete circle.

Now, let's calculate the circumference.
5/2π = 60/circumference.
Next, solve for the circumference.
By multiplying both sides by 2π, we have: 5 * circumference = 120π.
Now divide both sides by 5, and we find: circumference = 24π.

Using the formula c = 2πr,
we set 24π = 2πr.
Dividing both sides by 2π gives us r = 12. Thus, the radius measures 12cm.
6 0
1 month ago
Read 2 more answers
The flight path of a golf ball is modeled by the function, F (X) = -0.0 2X^2 Plus 6X, we are X represents the horizontal distanc
lawyer [12517]
Let’s tackle the problem. We know the formula for <span>the height of the ball is as follows:

</span>f(x)=-0.02x^{2}+6x
<span>
Here, x represents </span><span>the horizontal distance in yards that the ball has traveled in the air. Given that distance is always a positive value, we conclude that x must be greater than or equal to 0. Thus:

</span>x \geq 0<span>

The horizontal plane indicates the function's zero point, and since the ball cannot have negative height values, f(x) must also remain positive. Ultimately, the graph reveals that the suitable domain is:

</span>\boxed{0 \leq x \leq 300}<span>
</span><span>
</span>
3 0
14 days ago
Other questions:
  • Stefan's family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an init
    5·2 answers
  • On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
    11·2 answers
  • Rajan had 6000 RS in his bank account on a particular day a week later he deposited 150p RS and next day he had withdraw 1/3rd o
    6·1 answer
  • Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The
    6·1 answer
  • A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-
    10·1 answer
  • Which expression represents the distance between 4.7 and −11.2 on the number line? Drag and drop the correct expression into the
    7·1 answer
  • The curvature of the Tacoma Narrows Bridge in
    12·1 answer
  • 21<br> 22<br> 01:39:07<br> The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54
    9·1 answer
  • Lucy wants to plant 16 roses, 24 sunflowers, and 32 lilies in her garden. She wants to plant only one type of flower in each row
    9·2 answers
  • PLEASE HELP MEE! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it tak
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!