13. Does income increase when you get married? To investigate this, a college student has randomly selected people from his college town and collected income data for these people. They were categorized according to their marital status. The following results (in thousands of dollars) were obtained. ? Marital status Income ($1000) Income ($1000) Income ($1000) Income ($1000) Income ($1000) Married 136 116 82 166 72 Not married 33 78 76 125 80 Use the Wilconxon signed-rank test to determine if the income for married people has values that are systematically larger than for unmarried people. Perform on the 5% level (α = 0.05). What is your conclusion? (10p) A complete answer should be given that is easy to follow step by step.

The following scores were obtained by eleven soccer players in a goal-shoot competition: 5,3, 6, 8,7, 8, 3, 11,6, 3, 2 What is the median of these scores 3 8 6 11

In a city with three high schools, all the ninth graders took a Standardized Test, with these results: Number of ninth graders (Frequency) Mean Test Score High School Glenwood 82 262 Central 92 311 Lincoln 67 168 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was the average of 82, 92, and 67, whic incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place 80.3. Of course, that is Mean of all ninth grader's scores *

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Suppose there are 5 students in a room. The mean age is 19.8 years, and the median age is 19. If the youngest person leaves and is not replaced by another person, what happens to the mean and the median? O The mean and median increase. The mean increases, and the median either increases or stays the same. The mean increases, but it is impossible to determine whether the median increases, decreases, or stays the same. The mean increases, and the median stays the same. The median increases, and the mean either increases or stays the same.

The figure below presents a boxplot for athlete ages in two Olympic sports: Diving Men's Springboard and Diving Women's Platform. What is the interquartile range for athlete ages in Diving Women's Platform? Age 35- 34- 33- 32- 31- 30- 29 28- 27- 26- 25- 24- 23- 22- 21- 20- 19- 18- 17- 16- 15- 14- 13- 12- 25 021 07 O 18 Event Event Diving Men's Springboard Diving Women's Platform

The following are (fictional) McDonald's service times (in seconds) for a random sample of drive-thru customers.  98  117  45  103  75  65  129  93  109  84  56  118 Calculate the median