Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample sizes. Plot 1 1 2 3 0.2 Plot 2 0.2 0.2 Plot 3 0.4 0.1 0.05 0.025 0.4 0.4 ||| 0.6 25 100 ? 0.6 0.6 0.8 The table below contains standard deviations for each of the three plots. Plot Standard Deviation Sample Size 0.8 0.8 Q1: What do the dots (the observations) in each of the 3 plots represent? In other words, what are the values plotted in each dot plot? Q2: The sample size for Plot 3 is missing. Provide the missing sample size value (include supporting work). Q3: Describe what would happen to the distribution of the sample proportion values as the sample size becomes larger and larger. (Comment about the shape, center, and spread of the sampling distribution of the possible sample proportion values.)

Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ range, variance, and standard deviation for the sample data. Given that these are the top 10​ salaries, do we know anything about the variation of salaries of TV personalities in​ general?   39      37      35      27      15      11      9      7      6.8      6.3

You want to see if the average grade for nontraditional age students is less than the average grade for traditional age students. You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain the following two samples of data.   Non-Traditional Age Students Traditional Age Students 53.9 87 102.9 99.8 44.1 63.9 72.6 87.5 70.2 100.8 88.7 114.4 46.9 54.7 83.4 101.4 38 108.9 53.1 88 29.5 121.5 117.5 74.3 79.8 105.2 86.8 94.1 88.1 92.7 77.3 93.2 44.1 98.4 74.4 114.4 72.6 75.8 29.5 88 42.4 105.8 48.2 108.9 68.7 92.7 90.8 97.4 85.7 97.4 62.5 135.7   Use a significance level of 0.050.05 to answer the following. What is the test statistic for this sample? (Report answer accurate to three decimal places.)t-test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =

Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there any outliers, and are they likely to have much of an effect on the measures of variation? 35 45 50 55 65 75 90 170 195 207 250 325 400 1750 3000 The range of the sample data is (Type an integer or a decimal. Do not round.)