Table 9.2 Confidence Index Scores In the 2002 General Social Survey, respondents were asked whether they had " a great deal," *only some," or "hardly any" confidence in the military, organized religion, banks and financial institutions, major companies, organized labor, the press, television, education, medicine, the scientific community, the United States Supreme Court, Congress, and the Executive branch of the federal government. Responses to these items were "reverse scored," so that a low value corresponds to low confidence. Responses were summed, and a mean score was computed for each respondent who answered all 13 items. The distribution of these Confidence Index scores, which can be treated as interval-ratio data, is given in Table 9.2, and a graph of the distribution is shown in Figure 9.2. The median of the distribution is 2.00, the mean is 1.95, and the standard deviation is .33. Confidence Index Score Frequency Cum 1.00 0.0 1.08 0.3 1.15 1.3 1.23 WH 1.9 1.31 3.6 1.38 1.46 1.54 1.62 1.69 1.77 1.85 1.92 2.00 .08 a a in i in in in in to ja NO i w Vio inot ind 2.38 2.46 2.54 2.62 2.69 99. 2.77 2.85 2.92 99.6 3.00 LOO.O Total (Valid Cases) 798 Source: General Social Survey, 2002. O CVFigure 9.2 Confidence Index 180 120 100 Frequency 20 25 1.50 1.75 2.00 2125 12.50 2.75 5.00 Confidence Index Score Source: General Social Survey, 2002. Table 9.3 Percent Change in Population for 50 States: 1990 to Table 9.3 gives the percent change in the population for 40 U.S. states from-1.28 Question 5 (1 point) Which of the following is the best description of a sampling distribution? the distribution of statistical values that would result from taking an infinite number of samples of the same size from a given population a random number table that determines which elements in the population are selected for the sample the distribution of any variable based on a sample of cases rather than a population a measure used to describe the population or sample the probabilities that are used to select cases in a simple random sample or stratified random sample Question 6 (1 point) (Refers to table 9.2 and Figure 9.2) Using the distribution of Confidence Index scores, calculate the z scores at +1 or -1 standard deviation of the mean. (hint: mean-1.95, standard deviation=.33) 1.62, 2.28 1.57, 2.14 1.44. 2.26 1.86. 2.43 Question 7 (1 point) According to the Central Limit Theorem, the mean of the sampling distribution of the 3