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 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

Eliza had a long commute to work each day and she was always worried about running late. When it came to distance, both drives were the same number of miles from her home, but one of them had a few more stoplights on her way. She wanted to find the most consistent route so she could know exactly how long it would take her to go to work each day. She decided to travel each route 25 times and recorded how long it took each time to make an informed decision. On her 25 trips using route A, she took an average of 40 minutes with a standard deviation of 3.1 minutes. On her 25 trips using route B, she took an average of 40 minutes with a standard deviation of 4.6 minutes. Assume the commute times using both routes are normally distributed.    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 more than 72 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 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 23 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)

Eliza had a long commute to work each day and she was always worried about running late. When it came to distance, both drives were the same number of miles from her home, but one of them had a few more stoplights on her way. She wanted to find the most consistent route so she could know exactly how long it would take her to go to work each day. She decided to travel each route 30 times and recorded how long it took each time to make an informed decision. On her 30 trips using route A, she took an average of 40 minutes with a standard deviation of 4.2 minutes. On her 30 trips using route B, she took an average of 40 minutes with a standard deviation of 6.6 minutes. Assume the commute times using both routes are normally distributed.    Use this information to carry out the appropriate hypothesis test at the

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 16 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 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 20 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 at least 80 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 12 to 23 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)