Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and the standard deviation is 7.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 23PFA
icon
Related questions
Question

Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and the standard deviation is 7.  

Expert Solution
Step 1

Central Limit Theorem for mean:

If a random sample of size n is taken from a population having mean µ and standard deviationσ then, as the sample size increases, the sample mean approaches the normal distribution with mean µ and standard deviation σ/ sqrt(n).

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill