A population has mean =μ35 and standard deviation =σ5. Find μx and σx for samples of size =n25. Round your answers to one decimal place if needed.μx= σx=
Question
A population has mean = μ = 35 and standard deviation = σ = 5.
Find the following for samples of size :
Round your answers to one decimal place if needed.
Solution
The mean and standard deviation of a sampling distribution are related to the mean and standard deviation of the population from which the samples are drawn.
The mean of the sampling distribution (μx) is equal to the mean of the population (μ). So, μx = μ = 35.
The standard deviation of the sampling distribution (σx), also known as the standard error, is equal to the standard deviation of the population (σ) divided by the square root of the sample size (n). So, σx = σ/√n = 5/√25 = 5/5 = 1.
So, μx = 35 and σx = 1.
Similar Questions
Given the following values 25, 7, 22, 33, 18, 15The population mean and population standard deviation are approximately:
STANDARD DEVIATION A data set contains the following values: 11, 3, 5, 18, 1, 4, 7. Find the population variance. Round your answer to 4 decimal places.
A sample of n = 5 scores has a mean of M = 12. What is Σ X for this sample?Group of answer choices52=255/12 = 0.4175(12) = 6012/5 = 2.40
Determine the 99% confidence interval for the population mean. (Round your answers to 3 decimal places.)
A population with a mean of µ = 6 has Σ X = 42. How many scores are in the population?Group of answer choicesN=42N = 42/6 = 7N = 6*42 = 252N = 6/42 = 1/7
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.