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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 500 teenagers and they found that 184 of them were planning on purchasing the game when it comes out.   Use this information to construct and interpret a 94% 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 more than 12.9? 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 on the fuel economy of vehicles in the U.S. The study found that cars that ran on gasoline averaged 24.2 MPG. Assume this data is normally distributed with a standard deviation of 3.7 MPG. Use this information to answer the following question.    What MPG would correspond to the 90th percentile of all cars in the US that run on gasoline?  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 71 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)

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)

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 28 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)

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 more than 78 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 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 300 teenagers and they found that 88 of them were planning on purchasing the game when it comes out.   Use this information to construct and interpret a 98% 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.