QUESTION 16 The average production cost for major movies is 63 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 39 randomly selected major movies are researched. Answer the following questions. Give answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. d). What is the distribution of f ? a? ~N(_. _*_) On this part, you need to answer what is where the * is. :l QUESTION 17 The average production cost for major movies is 63 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 39 randomly selected major movies are researched. Answer the following questions. Give answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. e). For a single randomly selected movie, nd the probability that this movie's production cost is between 58 and 60 million dollars. :1 QUESTION 18 The average production cost for major movies is 63 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 39 randomly selected major movies are researched. Answer the following questions. Give answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. f). For the group of 39 movies, find the probability that the average production cost is between 58 and 60 million dollars. |:l QUESTION 19 The average production cost for major movies is 63 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 39 randomly selected major movies are researched. Answer the following questions. Give answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. g). For part f), is the assumption that the distribution is normal necessary? O Yes O NoQUESTION 20 Suppose that the average number of friends Facebook users have is normally distributed with a mean of 231 and a standard deviation of about 43. Assume forty-five individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a). What is the distribution of f ? J? ~Nli'L, ) On this part, you need to answer what is where the * is. :1 QUESTION 21 Suppose that the average number of friends Facebook users have is normally distributed with a mean of 231 and a standard deviation of about 43. Assume forty-five individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. b). What is the distribution of j ? 2E ~N( .7'7) On this part, you need to answer what is where the * is. :l QUESTION 22 Suppose that the average number of friends Facebook users have is normally distributed with a mean of 231 and a standard deviation of about 43. Assume forty-ve individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. (2). For the group of 45, find the probability that the average number of friends is less than 221. :l QUESTION 23 Suppose that the average number of friends Facebook users have is normally distributed with a mean of 231 and a standard deviation of about 43. Assume forty-ve individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. d). For part c), is the assumption that the distribution is normal necessary? 0 Yes O No QUESTION 24 A95% condence interval for the population mean age of community college students was computed to be (23, 29). Then if a randomly selected college student is surveyed, there is a 95% chance that the student is between 23 and 29 years old. O True 0 False QUESTION 25 Assume that a sample is used to estimate a population mean. Find the 93% confidence interval for a sample of a size 539 with a mean of 63.7 and a standard deviation of 19.4. Enter your answer accurate to 3 decimals places. a). What is the lower bound of the confidence interval? |:l QUESTION 26 Assume that a sample is used to estimate a population mean. Find the 93% confidence interval for a sample of a size 539 with a mean of 63.7 and a standard deviation of 19.4. Enter your answer accurate to 3 decimals places. b). What is the upper bound of the confidence interval? :l QUESTION 27 A labor rights wants to determine the mean salary of app-based drivers. If she knows that the standard deviation is $2.6, how many drivers should consider surveying to be 98% sure of knowing the mean will be within $0.79? QUESTION 28 If n = 375 and X = 299, construct a 98.5% confidence interval for the population proportion, p. Give your answer to three decimals. a). What is the lower bound of the confidence interval? :l QUESTION 29 If n = 375 and X = 299, construct a 98.5% confidence interval for the population proportion, p. Give your answer to three decimals. a). What is the upper bound of the confidence interval? :l QUESTION 30 You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately 27.9 dollars. You would like to be 97.5% condent that your estimate is within 4 dollar(s) of average spending on the birthday parties. How many moms do you have to sample? :l QUESTION 31 You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately 27.9 dollars. You would like to be 97.5% condent that your estimate is within 4 dollar(s) of average spending on the birthday parties. Agree or disagree with the followinf statement: "If you increase the confidence level, the sample size increases ". 0 Agree 0 Disagree QUESTION 32 You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately 27.9 dollars. You would like to be 97.5% condent that your estimate is within 4 dollar(s) of average spending on the birthday parties. Agree or disagree with the followinf statement: "If you decrease the error bound, the sample size increases ". O Agree 0 Disagree QUESTION 33 You want to obtain a sample to estimate a population proportion. Based on previous evidenoe, you believe the population proportion is approximately p = 65%. You would like to be 98% confident that your estimate is within 4.5% of the true population proportion. How large ofa sample is required? |:l QUESTION 34 You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.01 margin of error at a 98% level of condence. a). With no prior research, what sample size should you gather in order to obtain a 0.01 margin of error? Round your answer up to the nearest whole number. |:] QUESTION 35 You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.01 margin of error at a 98% level of confidence. b). Your rm decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample and obtained a sample proportion of 21.5%. Using this new information, what sample size should you gather in order to obtain a 0.01 margin of error? Round your answer up to the nearest whole number. :1