Consider a town where the average age of all individuals is 35.6 years old with a standard deviation of 13.7 years. Suppose you were to randomly select 50 individuals from this town as part of a study.    What is the probability that the average age of the 50 individuals in your study would be less than 40 years old or greater than 30 years old? Make sure to round your answer to 2 decimal places. For example, if your answer was 0.654321 then you would type 0.65

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 shorter than 71.5 inches tall?  Make sure to round your answer to 2 decimal places (For example, if your answer was 0.654321 then you would type 0.65)

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 180 students taking in-person classes and 220 students taking online classes. They asked them whether or not they were interested in a parking garage being built on campus. Out of 180 students taking in-person classes, 108 of them stated they were interested. Out of the 220 students taking online classes, 117 mentioned they were interested.    Use this information to carry out the appropriate hypothesis test at the

A study was conducted that found 83% of all teenagers in the US own at least one video game console. Suppose you were to randomly sample 30 US teenagers.   What is the probability that exactly 25 of them would own at least one video game console? Use a binomial distribution to answer this question. Make sure to round your answer to 2 decimal places (For example, if your answer was 0.654321 then you would type 0.65)

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 200 students taking in-person classes and 250 students taking online classes. They asked them whether or not they were interested in a parking garage being built on campus. Out of 200 students taking in-person classes, 128 of them stated they were interested. Out of the 250 students taking online classes, 131 mentioned they were interested.    Use this information to carry out the appropriate hypothesis test at the

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 less than 13.4?  Make sure to round your answer to 2 decimal places. For example, if your answer was 0.654321 then you would type 0.65

A study was conducted on the fuel economy of vehicles in the U.S. The study found that cars that ran on gasoline averaged 24.2 MPG. Assume this data is normally distributed with a standard deviation of 3.7 MPG. Use this information to answer the following question.    What MPG would correspond to the 47th percentile of all cars in the US that run on gasoline?  Make sure to round your answer to 2 decimal places. For example, if your answer was 87.654321 then you would type in 87.65. 

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 110 minutes or longer than 120 minutes?  Make sure to round your answer to 2 decimal places (For example, if your answer was 0.654321 then you would type 0.65)

A study was carried out by a gaming company to try and determine the true proportion of teenagers that were interested in an upcoming video game they were releasing. The company decided to randomly survey 400 teenagers and they found that 162 of them were planning on purchasing the game when it comes out.   Use this information to construct and interpret a 90% confidence interval for the true proportion of teenagers who plan to purchase the video game when it comes out.   Make sure that you are addressing the following in your response.  Check any and all relevant assumptions and state specifically how they are/aren’t satisfied State the desired confidence interval (round any values in your interval to 2 decimal places, i.e. 54.321 would be rounded to 54.32) Interpret the interval in context of the scenario provided. 

A local restaurant was trying to figure out the best way to advertise to attract new customers from this town. The owner had a set amount of money to spend on advertising and they were trying to figure out if it was better to invest in advertisements on social media or television commercials. They conducted a survey of 300 local residents to gauge if they spent more time on social media or watching television. Out of the 300 residents who were surveyed, 167 of them stated that they spent more time on social media than watching television.    Use this information to carry out the appropriate hypothesis test at the