Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Assume that the height of South African adult males has the normal distribution, with an average of 166 cm and a standard deviation of 9
Assume that the height of South African adult males has the normal distribution, with an average of 166 cm and a standard deviation of 9 cm. Let X be the sample mean of the heights of a sample of 20 men.
(a) Describe the distribution of X; giving the name of the distribution, its expected value and variance. (5)
(b) What is the probability that the sample mean is between 156 cm and 176 cm? (7)
(c) Find the first and third quartiles of the distribution of the sample mean. (8)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started