In real-life applications, statistics helps us analyze data to  extract information about a population. In this module discussion, you  will take on the role of Susan, a high school principal. She is planning  on having a large movie night for the high school. She has received a  lot of feedback on which movie to show and sees differences in movie  preferences by gender and also by grade level. She knows if the wrong movie is shown, it could reduce event turnout  by 50%. She would like to maximize the number of students who attend and  would like to select a PG-rated movie based on the overall student  population’s movie preferences. Each student is assigned a classroom  with other students in their grade. She has a spreadsheet that lists the  names of each student, their classroom, and their grade. Susan knows a  simple random sample would provide a good representation of the  population of students at their high school, but wonders if a different  method would be better.       Describe an example of a sample of this student population that would not represent the population well. Describe another example of a sample that would represent the population well. Finally, describe the relationship of a sample to a population and  classify your two samples as random, cluster, stratified, or  convenience.

A company is looking at the results of a marketing survey and trying to establish whether men and women value the product differently. They have data on the willingness to pay for the product for 50 men and 50 women.Design a hypothesis test of whether or not the mean willingness to pay for the product is different for men and women.Which, if any, is more important to minimize in this case, the type I or type II error? Why?How does the choice of the critical value affect the tradeoff between the type I and type II error? 1-2 pages with two references. it is a discussion question