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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. 

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

Consider the following distribution of letter grades shown below for a calculus class. Create a bar graph of the data (making sure to order the data properly) and identify the shape of the distribution. Distribution Table of Letter Grades Letter Grade Count/Frequency A 5 B 5 C 5 D 5 F 5    

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 most 17 of them had an iPhone? 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

The owner of a local restaurant was interested in figuring out the true proportion of their customers that eat at their restaurant on a monthly basis. They knew that they wanted to be accurate within 0.05 of the true actual proportion with 95% confidence. In order to meet these requirements, how large of a sample should they take? Make sure to round your answer properly since it is impossible to survey a fraction of an individual.