can you help me with these questions?

Question 7 (1 point) Saved Airline companies recognize that empty seats represent lost revenues that can never be recovered. To avoid losing revenues, the companies often book more passengers than there are available seats. Then, when a flight experiences fewer no-shows than expected, some passengers are 'bumped' from their flights (are denied boarding). Incentives are provided to encourage passengers to give up their reserved seat voluntarily, but occasionally some passengers are involuntarily bumped from the flight. Obviously, these incidents can reflect poorly on customer satisfaction. Suppose Southwest Airlines would like to estimate the true proportion of involuntarily bumped passengers across all domestic flights in the industry. In a pilot sample of 758 domestic passengers, 527 were involuntarily bumped. What is the estimate of the population proportion and what is the standard error of this estimate? Question 7 options: 12 The true population proportion is needed to calculate this. 21 Estimate of proportion: 0.305. Standard error: 0.0167. 31 Estimate of proportion: 0.695. Standard error: 0 0006. 41 Estimate of proportion: 0.305. Standard error: 0.0006. 51 Estimate of proportion: 0.695. Standard error: 0.0167. Question 8 (1 point) Energetic Co., a battery manufacturer, claims their battery lasts for 51.4 months with a standard deviation of 6.379 months. You randomly sample 29 of these batteries. Assuming the distribution for the battery lifetime is approximately normal, what is the probability the average lifetime is greater than 52.627 Question 8 options: 12 0.1515 21 0.5758 31 04242 41 0.8485 5 08018Question 9 (1 point) Saved The owner of a local supermarket believes the average number of gallons of milk the store sells per day is 283.1. In a random sample of 23 days, the owner finds that the average number of gallons sold was 276.7 with a standard deviation of 39.25. Using this information, the owner calculated the confidence interval of (262.6, 290.8) with a confidence level of 90%. Which of the following statements is the best conclusion? Question 9 options: 12 We are 90% confident that the average number of gallons sold per day is less than 283.1. 21 The average number of gallons sold per day is not signf canthe different from 283.1. 31 The percentage of days on which more than 283.1 gallons of milk are sold is 90% 41 We cannot determine the proper interpretation based on the information given. 51 We are 90% confident that the average number of gallons sold per day is greater than 283.1 Question 10 (1 point) Saved A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels for 24 patients were recorded before administering the drug and after. The average difference in cholesterol levels (after - before) was 0.59 mg/dL with a standard deviation of 9.466 mg/dL. Using this information, the calculated 95% confidence paired-t interval is (- 3.407, 4.587). Which of the following is the best interpretation of this interval? Question 10 options: 1) We are 95% confident that the difference between the average cholesterol level for those on the drug and the average cholesterol level for those not on the drug is between -3.407 and 4.587. 2) We are certain the average difference in cholesterol levels between those who would take the drug and those who would not is between -3.407 and 4.587. 31 We are 95% confident that the average difference in the cholesterol levels of the patients sampled is between -3.407 and 4.587. 4) We are 95% confident that the average difference in cholesterol levels between those who would take the drug and those who would not is between -3 407 and 4.587 5) The proportion of all patients that had a difference in cholesterol levels between those on the drug and those who are not is 95%