7.36 Systematic random samples. Systematic random sam ples go through a list of the population and choose individuals at fixed intervals from a randomly chosen starting point. For example, a study of dating among college students chose a sys tematic sample of 200 single male students at a university as follows.'^ Start with a list of all 9000 single male students. Be cause 9000/200 = 45, choose one of the first 45 names on the list at random and then every 45 th name after that. For exam ple, if the first name chosen is at position 23, the systematic sample consists of the names at positions 23, 68, 113, 158, and so on up to 8978.

(a) Use Table B to choose a systematic random sample of 5 addresses from a list of 200. Enter the table at line 120.

(b) Like an SRS, a systematic sample gives all individuals the same chance to be chosen. Explain why this is true, then ex plain carefully why a systematic sample is nonetheless not an SRS.