Introduction to Statistical Inference Quiz 6 Name: Luynab Armed ID Carefully Read The Instructions! Instructions: This quiz will last 20 minutes and consists of 1 problem in two parts. Provide solutions in the space provided. All solutions must be sufficiently justified to receive credit. You may round to two decimal places. You may use a calculator. You may not use any outside notes or texts on this quiz, except for the standard normal table. Good Luck! 1. A survey randomly samples 100 Utah households, asking how many motor vehicles are owned by members of the household. Suppose that in this population the mean number of vehicles owned is 1.5, with a standard deviation of 0.8. (a) What is the approximate distribution of the sample mean X? * = 1 (b) What is the probability that X is between 1.4 and 1.6