Question

A population of values has a normal distribution with μ=186.8 and σ=70.5. A random sample of size n=121 is drawn. What is the mean of the distribution of sample means?

259

likes

1297 views

Answer to a math question A population of values has a normal distribution with μ=186.8 and σ=70.5. A random sample of size n=121 is drawn. What is the mean of the distribution of sample means?

$Expert avatar$

Ali

4.4

92 Answers

The mean of the distribution of sample means (often referred to as the sampling distribution of the sample mean) is equal to the population mean. This is a fundamental property of sampling distributions. Given that the population mean (μ) is 186.8, the mean of the distribution of sample means will also be 186.8. Therefore, the mean of the distribution of sample means is 186.8. Answer: 186.8

Frequently asked questions (FAQs)

Question: Find the domain of the function f(x) = 2sin(3x) - cos(2x) within the interval [0, π/2].

Math question: What is the limit of (3x^2 + 2x - 5) / (x + 1) as x approaches -1?

What is the equation of the parabola that opens upward, has a vertex at (3, 4), and a horizontal axis of symmetry?

New questions in Mathematics

reduction method 2x-y=13 x+y=-1

The sum of an infinite geometric series is 13,5 The sum of the same series, calculated from the third term is 1,5. Q. Calculate r if r>0.

How many percent is one second out a 24 hour?

Investing equal amounts of money into each of five business ventures Let's say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?

Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number

9b^2-6b-5

The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?

∫ √9x + 1 dx

89, ÷ 10

Scores are normally distributed with a mean of 25 and standard deviation of 5. Find the probability that sixteen randomly selected students have a mean score that is less than 24.

30y - y . y = 144

factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30

prove that for sets SS, AA, BB, and CC, where AA, BB, and CC are subsets of SS, the following equality holds: (A−B)−C=(A−C)−(B−C)

7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?

Evaluate ab+dc if a=56 , b=−34 , c=0.4 , and d=12 . Write in simplest form.

To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?

calculate the product of 4 and 1/8

A rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet

Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)

A population of values has a normal distribution with μ=186.8 and σ=70.5. A random sample of size n=121 is drawn. What is the mean of the distribution of sample means?

Answer to a math question A population of values has a normal distribution with μ=186.8 and σ=70.5. A random sample of size n=121 is drawn. What is the mean of the distribution of sample means?

You might be interested in