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A local community college was interested in gauging how interested their students were in building a parking garage on campus. However, they knew that a large number of their students primarily took online courses, so they wanted to ensure that they compared the responses between students taking in-person classes and online classes. They decided to randomly survey 140 students taking in-person classes and 280 students taking online classes. They asked them whether or not they were interested in a parking garage being built on campus. Out of 140 students taking in-person classes, 70 of them stated they were interested. Out of the 280 students taking online classes, 130 mentioned they were interested.  Use this information to carry out the appropriate hypothesis test at the

Suppose you were to flip a fair coin 12 times and you recorded the number of “Tails” that you received. Find the probability that you would get anywhere from 3 to 9 “Tails”. Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23.

A study was conducted of college students that stated the true average number of units that a college student enrolls in each semester is 12.7 with a true standard deviation of 6.8. Suppose you randomly sampled 40 college students and recorded the number of units that each of them were enrolled in. Use this information to answer the following question.  What is the probability that the average number of units those students from your sample were enrolled in was more than 10.6.? Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.54321 then you would type in 0.54. 

A professor was interested in comparing how well her students performed on their midterm and final exams in her calculus course. She randomly sampled 7 students from her class and recorded their midterm and final exam grades which are shown in the table below.  Midterm and Final Exam Grade Comparisons Student X=Midterm Exam Y=Final Exam Student 1 75 86 Student 2 73 77 Student 3 87 70 Student 4 90 92 Student 5 72 95 Student 6 84 93 Student 7 91 89   Use this information to calculate the slope of the least squares regression line.  Make sure to type your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 98.76543 then you would type in 98.765.

What math classes are you currently taking at Taft College this semester? (Select all that apply)

Suppose you were to flip a fair coin 9 times and you recorded the number of “Tails” that you received. Find the probability that you would get exactly 8 “Tails” out of 9 coin tosses.  Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23.

The average height for an NCAA Division 1 men’s basketball player is 77 inches. Assume this data is normally distributed with a standard deviation of 8 inches. Use this information to answer the following question.  What is the probability that a randomly selected NCAA D1 men’s basketball player is more than 72 inches tall? Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.654321 then you would type in 0.65. 

Select the term/concept below that most closely matches the following definition: “The set of all possible outcomes in a sample space that do not belong to the event of interest”

Determine if the following situation satisfies all of the conditions required for a binomial probability experiment. If it does, then specify how each of the conditions are satisfied. If it does not, then specify which conditions are not met. Make sure to provide sufficient justification for your answers by stating how each condition is met in context of the scenario given.    Scenario: A student walks into class after not showing up the week before and finds out there is a multiple choice quiz in class that day. Since they were not in class during the previous week, all they can do is randomly guess on each question. There are 16 questions on the quiz and all of the questions have 4 possible answers (A,B,C, or D). The number of correct answers on the quiz will be recorded. 

A study was conducted to determine how movie lengths vary based on genre. As a part of that larger study, it was found that the average length of all movies is 117 minutes. Assume this data is normally distributed with a standard deviation of 26 minutes. Use this information to answer the following question.  What is the probability that a randomly selected movie is either shorter than 105 minutes or longer than 130 minutes? Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.654321 then you would type in 0.65.