Question

You want to study incomes in a large city. You take a simple random sample of 5012 households and find that the distribution of household incomes is skewed right. If you calculate the mean of the 5012 household incomes will the distribution of mean scores be skewed right as well? Hint: this involves the Central Limit Theorem.

262

likes
1311 views

Answer to a math question You want to study incomes in a large city. You take a simple random sample of 5012 households and find that the distribution of household incomes is skewed right. If you calculate the mean of the 5012 household incomes will the distribution of mean scores be skewed right as well? Hint: this involves the Central Limit Theorem.

Expert avatar
Hank
4.8
105 Answers
To determine whether the distribution of mean scores will be skewed right, we need to consider the Central Limit Theorem. According to the Central Limit Theorem, if we have a large enough sample size, the distribution of sample means will approximate a normal distribution, regardless of the shape of the original population distribution.

In this case, we have a simple random sample of 5012 households, which is considered to be a large sample size. Therefore, we can assume that the distribution of mean incomes will be approximately normal.

Answer: No, the distribution of mean scores will not be skewed right. It will resemble a normal distribution due to the Central Limit Theorem.

Frequently asked questions (FAQs)
What is the slope and y-intercept of the line passing through points (2, 6) and (-4, 10)?
+
What is the equation of a line that passes through the points (2,4) and (5,9)?
+
What is the probability of rolling a 6 on a fair die and drawing a red card from a standard deck?
+
New questions in Mathematics
-6(3x-4)=-6
12-6x=4x+2
Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?
(m²-121)
The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____
To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
15/5+7-5
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
Convert 5/9 to a decimal
-1%2F2x-4%3D18
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
Pablo has a balance of $440,000 and 2/5 of the money is used to pay bills. How much money do you have left after paying the bills?
Total Users with an active Wise account = Total Active Users + Total Users who haven’t transacted Total Active Users = Total MCA Users + Total Send Users = Total New Users + Retained Users Total New Users = New Send Users + New MCA Users Total MCA Users = New MCA Users + Retained Users who transacted this month via MCA Total Send Users = New Send Users + Retained Users who transacted this month via Send Send CR = Total Send Users / Total Users with an active Wise account MCA CR = Total MCA Users / Total Users with an active Wise account New Send CR = New Send Users / New Profiles Created in Month New MCA CR = New MCA Users / New Profiles Created in Month We have recently witnessed a drop in MCA conversion, but send user conversion is stable, can you help explain why?
9n + 7(-8 + 4k) use k=2 and n=3
y’’ -4y’ +4y = (12x^2 -6x)e^2x Y(0)= 1 Y’(0)=0 Y(x)=c1y1+c2y2+yp
Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?