Instructions: When work is required, show it. Credit is awarded based on the work provided, and partial credit can be given based on your work. Questions 1-3 are multiple-choice. Clearly mark your chosen answer. 1} In a survey, students are asked to indicate their personal pronouns. Personal pronouns are an example ofa a} Categorical variable bl Discrete numerical variable c] Continuous numerical variable 2} The arm span of an NBA player is an example of a a} Categorical variable b) Discrete numerical variable c] Continuous numerical variable 3} The number of siblings you have is an example of a a} Categorical variable bl Discrete numerical variable c] Continuous numerical variable 4} A new pilot television show was shown to a sample of potential viewers. After the viewing, each potential viewer was asked to rate the television show. Results are shown below: Rating Frequency Poor 15 Below Average 1 2 Average 2'? Above Average 54 Excellent 42 a} What is the size of the sample of potential viewers? b) What proportion of those surveyed rated the new show as "Average\"? c) The network has decided that it will continue to air this show only if 70% or more of the sample rate it as either "Above Average" or "Excellent". Based on the results, should the network continue to air this show? Explain. 5) You take a simple random sample of 200 individuals and find that 9% of them are left-handed. Worldwide, about 10% of humans are left-handed. Identify the parameter and the statistic. 6) Over the summer, PCC conducted a survey to solicit student feedback about fall term reopening. The survey was emailed to about 41,800 students (all currently enrolled students, students that "stopped out" during COVID-19, and new prospective students). A total of 5,140 students responded to the survey for an overall response rate of 12.3%. a) Is this an observational study or an experiment? Explain. b) What is the population of interest in this scenario? What is the sample? c) Is there likely to be any bias in the survey results? If so, what type(s) of bias