Question
Asked Nov 8, 2019
8 views

Describe the shape, expected value and standard error for the distribution of sample means for samples of n = 36 scores selected from a population with a mean of  = 80 and SD = 24.

check_circle

Expert Answer

Step 1

Given data

n = 36

mean = 80

SD = 24

Points on sampling distribution of the sample mean:

  • If the true population distribution of a random variable, say, x, is normal with parameters, mean μ and standard deviation σ, then, whatever be the size (n) of the sample taken from the population, the distribution of the sample mean is also normal, with parameters, mean μ and standard deviation σ/√n.
  • Even if the true population distribution of a random variable, say, x, is not normal and has population mean μ, standard deviation σ, then, for a large size (n ≥ 30) of a sample taken from the population, the distribution of the sample mean is approximately normal, ...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: An article in the Archives of Internal Medicine reported that in a sample of 224 men, 73 had elevate...

A: Here 224 men and 232 women are selected randomly. 73 of the men had elevated cholesterol levels, whe...

question_answer

Q: Computers are commonly used to randomly generate digits of telephone numbers to be called when condu...

A: A nonstandard normal distribution cannot be used because the randomly generated digits themselves do...

question_answer

Q: At their​ inauguration, the ages of the first six​ (out of a current number of​ 45) presidents of a ...

A: Mean:The formula for finding mean is shown below:

question_answer

Q: Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed wi...

A: From the given information,Mean (μ) =272days and standard deviation (σ) =19daysSample size (n) =51

question_answer

Q: Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results a...

A: State the appropriate hypothesis:The given claim is that, the polygraph results are correct less tha...

question_answer

Q: Given the below is a bivariate distribution for the random variables x and y P(x,y) x Y ...

A: A.The Histogram of the probability distribution for X is obtained below:The procedure to draw a Hist...

question_answer

Q: Please see picture

A: Solution:1.The expected value of X is obtained below:

question_answer

Q: See attached image and show work

A: Given DataNo of red balls = 2No of black balls = 3Probability of success (p) = 2/5=0.4No of draws (n...

question_answer

Q: i need help with how to figure out this problem. i don't understand how to find the solution in a ga...

A: From the provided information, if a coin is tossed and a die is rolled than the total sample space c...