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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. 

A study was conducted in 2018 to look at average annual salaries for individuals who lived in Wisconsin. It found that on average individuals in Wisconsin earned $56,302 per year. Assume the true standard deviation for annual salary was $8,000. Suppose you took a random sample of 50 individuals from Wisconsin in 2018 and recorded their salaries. Use this information to answer the following question. What is the probability that the average salary for those 50 individuals in your sample would fall between $48,000 and $55,000 per year? 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. 

In 2019, a study was carried out to determine whether a higher proportion of males in the US watch NFL games on television as opposed to females. For this study, the researchers surveyed 200 males and 200 females. 136 out of the 200 males stated that they watched NFL games on television while 121 out of the 200 females stated that they watched NFL games on television. Carry out a difference of proportions test at the