The highway fuel economy of a 2016 lexus rx 350 fwd 6-cylinder 3.5-l automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.75 mpg and a standard deviation of σ = 3.50 mpg. (a) what is the standard error of x¯¯¯ , the mean from a random sample of 36 fill-ups by one driver? (round your answer to 4 decimal places.) standard error of x¯¯¯ (b) within what interval would you expect the sample mean to fall, with 99 percent probability? (round your answers to 4 decimal places.) the interval is from to

1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?