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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 10 to 20 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; i.e. if your answer was 0.654321 then you would type 0.65

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 600 local residents to gauge if they spent more time on social media or watching television. Out of the 600 residents who were surveyed, 312 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

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 80 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. 

A recent study was conducted and it found that IQ’s are normally distributed with a mean of 100 and a standard deviation of 15. Use this information to find the following probability.  What is the probability that a randomly selected individual would have an IQ between 82 and 106?   Make sure to write your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 23.173% then you would type in 0.232.

A business professor was interested in seeing how students had fared on her final exam over the years. She looked back at students who had taken her class over the last 5 years and recorded their exam scores and summarized that information in the table below. Suppose you were to construct a histogram based on this data (starting with 0-9 group on the far left) identify what the overall shape of the data would look like.  Final Exam Breakdown Final Exam Score Frequency 0 – 9 1 10 – 19 2 20 – 29 0 30 – 39 1 40 – 49 6 50 – 59 8 60 – 69 10 70 – 79 29 80 – 89 30 90 – 100 34

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 73 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. 

Consider the following set of hypotheses and determine whether or not they are valid. If they are valid, then specify what type of hypothesis test is being carried out. If they are not valid, then specify why they are not valid. Be as specific as possible. 

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 500 local residents to gauge if they spent more time on social media or watching television. Out of the 500 residents who were surveyed, 222 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

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; i.e. if your answer was 0.654321 then you would type in 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; i.e. if your answer was 0.654321 then you would type in 0.65.