Hw3_1 - and standard deviation of 0.05mm A random sample of size 20 is taken Find the probability that the sample mean lies between 4.98mm and

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Homework 3 (due Feb. 11) 1. Suppose a continuous random variable X is distributed uniformly on the interval [20 , 30]. An analyst does not know the interval (although believes that the distribution is uniform), and tries to estimate it (or, more precisely, its endpoints), using MLE. Using Excel as a simulation tool, run this experiment 10 times for each of the following sample sizes: 5, 10, 50. Record the resulting estimated intervals. Compute the observed average biases for a and b for all three sample sizes. What do you observe? 2. Ball bearing diameters are normally distributed with the mean of 5mm
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: and standard deviation of 0.05mm. A random sample of size 20 is taken. Find the probability that the sample mean lies between 4.98mm and 5.02mm. 3. In the previous problem, find the probability that the sample standard deviation is between 0.03mm and 0.07mm. 4. Suppose 70% of all potential customers prefer cars with a sunroof to the ones without. If the company decides to randomly poll 200 people, what is the probability that the sample percentage of sunroof lovers turns out to be below 60%? 1...
View Full Document

This note was uploaded on 02/26/2008 for the course IE 121 taught by Professor Perevalov during the Spring '08 term at Lehigh University .

Ask a homework question - tutors are online