# 1. A researcher was interested in understanding reproductive health among youth. She randomly selected a group of young persons and administered a questionnaire to collect

1. A researcher was interested in understanding reproductive health among youth. She randomly selected a group of young persons and administered a questionnaire to collect information. Table 1 provides data on 10 respondents with their responses to selected questions. Respondent # How much of a risk would do you think you personally have of getting other STDs? (Risk of HIV) Gender Number of persons had sex with in the past 12 months Frequency of Alcohol usage in the past 12 months 1 Moderate Risk Female 3 Never 2 No risk at all Male 0 Almost everyday 3 Little risk Male 1 Never 4 Great risk Male 2 About once per week 5 Moderate risk Female 2 Once per month 6 No risk at all Female 1 Almost everyday 7 Great Risk Male 3 1-3 drinks per month 8 No risk at all Female 0 Never 9 Little Risk Female 2 Almost every day 10 No risk at all Male 0 About once per month a. Refer to Table 1: Indicate the most appropriate measure of central tendency for each variable listed and give a reason for your choice. (8 points) b. Suppose you are curious to find out if there is any relationship between frequency of alcohol consumption and youth’s self-reported risk of HIV as indicated in table 1. Discuss why hypothesis test of means may not be useful to make inference in this case. (2 points) 2. A group of high school students was asked how many hours per week they thought would be reasonable for teachers to expect them to spend on homework and assignments. The responses are recorded in the group frequency distribution table below. Hours Number of Students 0-5 8 6-11 10 12-17 22 18-23 15 24-29 5 a. Calculate the mean number of hours that students thought was reasonable for teachers to expect them to spend on homework and assignments each week. (3 points) b. Calculate the standard deviation for the number of hours that students thought was reasonable for teachers to expect them to spend on homework and assignments.

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