Construct a scatterplot and identify the mathematical model that best fits the given data.
When two targets are presented close together in a rapid visual stream, the second target is often missed. Psychologists call this phenomenon the attentional blink (AB). A study published in Advances in Cognitive Psychology (July 2013) investigated whether simultaneous or preceding sounds could reduce AB. Twenty subjects were presented a rapid visual stream of symbols and letters on a computer screen and asked to identify the first and second letters (the targets). After several trials, the subject's AB magnitude was measured as the difference between the percentages of first target and second target letters correctly identified. Each subject performed the task under each of three conditions. In the Simultaneous condition, a sound (tone) was presented simultaneously with the second target; in the Alert condition, a sound was presented prior to the coming of the second target; and in the No-Tone condition, no sound was presented with the second target. Scatterplots of AB magnitude for each possible pair of conditions are shown below as well as the least squares line for each.
a. Which pair of conditions produces the least squares line with the steepest estimated slope?
b. Which pair of conditions produces the least squares line with the largest SSE?
c. Which pair of conditions produces the least squares line with the smallest estimate of
Do men and women differ in their attitudes toward public corruption and tax evasion? This was the question of interest in a study published in Contemporary Economic Policy (Oct. 2010). The data for the analysis were obtained from a representative sample of over 30,000 Europeans. Each person was asked how justifiable it is for someone to (1) accept a bribe in the course of their duties and (2) cheat on their taxes. Responses were measured as 0, 1, 2, or 3, where O = "always justified" and 3 = "never justified." The large-sample Wilcoxon rank sum test was applied in order to compare the response distributions of men and women.
a. Give the null hypothesis for the test in the words of the problem.
b. An analysis of the "justifiability of corruption" responses yielded a large-sample test statistic of
c. Refer to part b. Women had a larger rank sum statistic than men. What does this imply about gender attitudes. toward corruption?
d. An analysis of the "justifiability of tax evasion" responses yielded a large-sample test statistic of
e. Refer to part d. Again, women had a larger rank sum statistic than men. What does this imply about gender attitudes toward tax evasion?
Make a scatterplot of the data. Use 87 for 1987
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