IDS 5404 Statistics and Data Analysis ASSIGNMENT MODULE 1: DESCRIPTIVE STATISTICS AND PARAMETERS 1. Suppose a sample of 4 observations is collected from a population which has 8 observations. The following quantities are known: ? = 5 ? = 2 ? = 0 ? = 10 Use the above information to answer the following questions (or state that the answer cannot be determined): a) What is the mean of the sample? b) What is the variance of the sample? c) If the responses in the population are labeled ?1, ?2, ?3, ?4, ?5, ?6, ?7, ?8, what is the value of: (?1 5)2 (?2 5)2 (?3 5)2 (?4 5)2 (?5 5)2 (?6 5)2 (?7 5)2 (?8 5)2 8 d) In the population, what is the value of the squared deviation of the second observation from the mean of the sample? e) What is the value of ?? f) What is the best estimate for the population variance that we would obtain using the sample? 2. Consider the following dataset which represents a sample collected from some population. Note that the mean and variance of the dataset are 20 and 150 respectively. 15