A study was conducted that found 46.9% of all smartphone users in the US had an iPhone. Suppose you were to randomly sample 40 US smartphone users.   What is the probability that at least 18 of them had an iPhone? 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 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 24 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)

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 study was conducted that found 15% of all US adults have some form of student loan debt. Suppose you were to randomly sample 100 US adults.   What is the probability that at anywhere from 20 to 25 of them would have student loan debt? 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)

Doogan is taking Statistics and has just learned about confidence intervals. He makes the following statement: “If all other sample values are held constant, then increasing the confidence level from 90% to a higher percentage will always result in a wider confidence interval, regardless if you are dealing with means or proportions.” Do you agree/disagree with his statement? If you agree, then write a few sentences justifying why this statement is true. If you disagree, then provide a counterexample where this property doesn’t hold and specify which sample values you utilized. 

A study was conducted that found 46.9% of all smartphone users in the US had an iPhone. Suppose you were to randomly sample 40 US smartphone users.   What is the probability that at least 22 of them had an iPhone? 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)

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 76 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)

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 at least 78.5 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 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 100 minutes or longer than 140 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)