I need help with the second part of this problem and if you could check my work for number one! Thank you!

1. The fuel economy sticker on a new SUV's window sticker indicates the owner can expect 16 mpg in city driving, 20 mpg highway driving and 18 mpg overall. Accurate gasoline records for one such vehicle were kept, and a random sample of mileage per tank for 50 fill-ups of gasoline was collected: 17.6 17.7 18.1 22.0 17.0 19.4 18.9 17.4 21.0 19.2 18.3 19.1 20.7 16.7 19.4 18.2 18.4 17.1 17.4 15.8 17.9 18.0 16.3 17.5 17.3 20.4 19.1 21.0 18.1 19.0 19.6 18.9 16.8 18.2 17.6 19.1 18.0 16.8 20.9 17.9 17.7 20.3 18.6 19.0 16.5 19.4 18.6 18.6 17.3 18.7 a. (1 point) Can we consider the data to be normally distributed? Explain. We know there are fifty fill ups. With this we can use the central limit theorem to see it is normally distributed. b. (2 points) Calculate the sample mean and standard deviation for this data. Round your answers to three decimal places. Sample Mean: 18.450 Standard deviation: 1.344 c. (1 point) Calculate a 95% confidence interval for this data set. (18.068, 18.832) d. (1 point) Interpret your interval in the context of the problem. If we look at the confidence level it will tell us that 18 mpg is not right. 2. The fuel economy sticker on a new SUV's window sticker indicates the owner can expect 16 mpg in city driving and 20 mpg highway driving and 18 mpg overall. Accurate gasoline records for one such vehicle were kept, and a random sample of mileage per tank of gasoline was collected: 17.6 17.7 18.1 22.0 17.0 19.4 18.9 17.4 21.0 19.2 18.3 19.1 20.7 16.7 19.4 18.2 18.4 17.1 17.4 15.8 17.9 18.0 16.3 17.5 17.3 20.4 19.1 21.0 18.1 19.0 19.6 18.9 16.8 18.2 17.6 19.1 18.0 16.8 20.9 17.9 17.7 20.3 18.6 19.0 16.5 19.4 18.6 18.6 17.3 18.7 Test whether the population average mpg is actually greater than 18 mpg using a 1% level of significance. a. (1 point) State the null and alternate hypotheses. b. (1 point) Would you perform a one-tailed or two-tailed test? Why? c. (1 point) State the test statistic and p-value of your test. Round your values to four-decimal places. d. (1 point) Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and . e. (1 point) Interpret your conclusion in the context of this problem. f. (1 point) Explain if your conclusion agrees with the confidence interval you calculated for this information in question 1