Statistics for Engineering - Homework 6 Solutions | STAT 4706, Assignments of Statistics

Download Statistics for Engineering - Homework 6 Solutions | STAT 4706 and more Assignments Statistics in PDF only on Docsity! Stat 4706 Fall 2006 HW6 Solutions 1. Consider the following frequency table of observations on the random variable X: Values 0 1 2 3 4 Frequency 4 21 10 13 2 Test to see if a binomial distribution with n=6 and p=0.25 is an appropriate model. Binomial function: P(X) = xnx pp x n −−⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ )1( , x = 0, 1, 2, .., n 2. A sociologist wishes to determine whether the distribution for the number of years grandparents who are responsible for their grandchildren is different today than it was in 2000. According to the United States Census Bureau, in 2000, 22.8% of grandparents have been responsible for their grandchildren less than 1 year; 23.9% of grandparents have been responsible for their grandchildren 1or 2 years; 17.6% of grandparents have been responsible for their grandchildren 3 or 4 years; and 35.7% of grandparents have been responsible for their grandchildren for 5 or more years. The sociologist randomly selects 1000 grandparents & obtains the following data. A