Consider the following basic statistics describing a.data set: == n = 30, y = 7433.30, s = 43.93 What is the margin of error for the calculation for a 95% level of confidence? Note: 1- Round your intermediate numbers to 4 decimal places. 2- Round you final answer to 3 decimal places. Enter your final answer to 3 decimal places. Question 3 (1 point) A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They want to test if the firm's professionals volunteer an average of 14 hours per month or not (two-sided test). Suppose 41 professional employees are randomly selected. This sample yields a mean of 10.8 hours and a standard deviation of 1.6 hours. The 95% confidence interval can be represented as 10.8 . In other words, find the margin of error for this confidence interval. Note: 1- Round your intermediate numbers to 4 decimal places. 2- Round you final answer to 3 decimal places. Enter your final answer to 3 decimal places. Question 2 (1 point) You interview a random sample of 448 customers of a restaurant and find that the mean rating they give the establishment is 5.7 with a standard deviation of 0.4. Calculate the standard error of the sample mean. Note: 1- Round your intermediate numbers to 4 decimal places. 2- Round you final answer to 3 decimal places. Enter your final answer to 3 decimal places. Question 1 (1 point) A random sample of gasoline prices in 30 gas stations gives the following statistics: y =$1.08, S=$0.28. Find a 95% confidence interval for the mean price of gasoline and report the lower limit. Note: 1- Only round your final answer to 2 decimal places. Enter your final answer with 2 decimal places.