Hi! I need help with these 4 problems. Please do include complete solutions/calculations for each problem, thank you so much! :)

A concerned parents' group is worried that their children are not getting eight hours of sleep. To find out if there is in fact a need to worry, they took a random sample of 100 schoolchildren 12 to 15 years old and asked them about their regular number of hours of sleep per night. The mean number of hours of sleep per night of the sampled children was found to be 7.9 hours. Assuming that the distribution of the number of hours of sleep per night is normal with standard deviation of 1.2 hours, construct a 95% condence interval about the true mean number of hours of sleep per night among schoolchildren 12 to 15 years old to determine if there is indeed a reason to worry. 3. The mean weight of randomly selected 40 male students at a certain college is 151 lbs and the standard deviation is 15 lbs. Construct a 90% confidence interval for the mean weight of the male students. 4. A random sample of state gasoline taxes (in cents) is shown here for 12 states. Use the data to estimate the true population mean gasoline tax with 90% condence. Assume normal distribution; M 5. ACBS News/New York Times poll found that 330 out of 763 adults said they Would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 92% confidence