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)

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)

According to the Bureau of Labor Statistics, in 2019 U.S. households spent an average of $386.92 per month on food. Assume this data is normally distributed with a standard deviation of $112. Use this information to answer the following question.    What Z-score would correspond to a household that spent an average of $400 on food per month in 2019?  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. 

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 most 79 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)