Homework Help is Here – Start Your Trial Now!
Math
Statistics
. A random variable X is normally distributed with a mean of 25 and a standard deviation of 5. What is the probability that a randomly selected individual will have a score at or less than 22? If a sample of size n = 8 was taken from this population, what is the probability that the sample mean is less an 22?

. A random variable X is normally distributed with a mean of 25 and a standard deviation of 5. What is the probability that a randomly selected individual will have a score at or less than 22? If a sample of size n = 8 was taken from this population, what is the probability that the sample mean is less an 22?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
See similar textbooks
icon
Related questions
Question
Sample Mean: X = ΣΧ Where Σ = sum (or add up) sample mean = total number of scores, or the sample size = n For a population, mean is represented by the Greek letter mu (µ) Population Variance: g² = E (X -µ)² N Sample Variance: s? = E(X-Xy n - 1 Remember that the standard deviation (o or s) is the square root (v ) of the variance. Z Score (for one score/individual): Z = X -µ Z Score: One Sample Z test: Z = = mean of sample u = mean of population O = standard deviation of population n = sample size In = square root of sample size
Transcribed Image Text:Sample Mean: X = ΣΧ Where Σ = sum (or add up) sample mean = total number of scores, or the sample size = n For a population, mean is represented by the Greek letter mu (µ) Population Variance: g² = E (X -µ)² N Sample Variance: s? = E(X-Xy n - 1 Remember that the standard deviation (o or s) is the square root (v ) of the variance. Z Score (for one score/individual): Z = X -µ Z Score: One Sample Z test: Z = = mean of sample u = mean of population O = standard deviation of population n = sample size In = square root of sample size
14. A random variable X is normally distributed with a mean of 25 and a standard deviation of 5. a. What is the probability that a randomly selected individual will have a score at or less than 22? b. If a sample of size n = 8 was taken from this population, what is the probability that the sample mean is less than 22?
Transcribed Image Text:14. A random variable X is normally distributed with a mean of 25 and a standard deviation of 5. a. What is the probability that a randomly selected individual will have a score at or less than 22? b. If a sample of size n = 8 was taken from this population, what is the probability that the sample mean is less than 22?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS