Classify each of the following variables as qualitative or quantitative.  a. Number of listeners to a podcast  [answera] b. Student number  [answerb] c. Depth of a lake. [answerc]

Classify the following random variable according to whether it is discrete or continuous.the number of caramel candies in a box

A college wants to determine the mean amount of credit card debt their students have.  How many students should they poll to determine the mean amount of credit card debt to within $25 at 95% confidence.  Assume that a previous study indicated that the standard deviation in the amount of credit card debt has been estimated to be $275.

A school wants to randomly choose one student to speak at an assembly.  There are [x] sophomores, [y] juniors, and 15 seniors that volunteer.  If one student is chosen at random, what is the probability that the student is a sophomore? Enter your response rounded to three decimal places in the format 0.XXX.  If you do not use the correct format your response will be considered incorrect. 

Determine whether the underlined value represents a parameter or a statistic and why.  31% of all SMC students are enrolled full-time. 

A survey of 2004 registered voters in a certain city found that 762 of them planned to vote by mail this year.  The mayor of the city wants to construct a confidence interval for the proportion of city residents that plan to vote by mail this year.    a. What is the point estimate of the proportion of registered voters in this city that plan to vote by mail this year?  Round to three decimal places.  [answera] b. Does the sample meet the conditions necessary to calculate the 95% confidence interval for the population proportion? [answerb1] because the sample is random, the sample is less than 5% of the population and [answerb2]. c. Use the appropriate formula to find the margin of error for a 95% confidence interval.  Round to three decimal places.  [answerc] d. Using the margin of error and the point estimate of the proportion, find the 95% confidence interval for the proportion of registered voters in this city who plan to vote by mail.  Round to three decimal places.  [asnwerd]

Determine whether the underlined value represents a parameter or a statistic and why.  The mean weight of a sample of 10 apples is 52 grams. 

Determine whether or not the following represents a binomial experiment.  If not, why not.  An insurance company chooses a random sample of 20 car accident claims classifying them as single vehicle or multiple vehicle.  They know that 18% of all claims involve a single vehicle.  Let x be the number of single vehicle claims in the sample. 

Determine whether the sampling is dependent or independent.  Indicate whether the response variable is qualitative or quantitative.  A professor randomly chooses 25 students who are STEM majors and looks at their GPAs and randomly chooses 25 different students who are Arts Majors and looks at their GPAs.  The goal of the study is to compare the mean GPAs.  

An SMC student wants to determine the mean amount of financial aid received by students at the college.  How many students should be polled to determine the mean to within $85 at 95% confidence.  Assume that the standard deviation in financial aid is known to be $1400.