here is a data set listing vehicle weight w the corresponding highway mpg, alongside input and out put ranges for each. 1) construct a confidence interval for mean using t distribution from the output of descriptive statistics for vehicle weight. 2) construct a confidence interval for mean using the t distribution from the output of descriptive statistics for highway mpg. 3) Do the 6 step hypothesis test for a highway mpg mean using the t distribution. the claim is that the highway mpg of the vehicles is different from 30. Ho: mu=30 and H1: mu?30. confidence level is 0.05. Construct all six steps. take ur time thank you so much

vehicle weight highway mpg highway mpg 4057 25 vehicle weight 4600 21 3567 29 Mean 4031.2 Mean 24.28 Standard Error 1.236284757 6041 12 196.7549237 Standard Error 19 Median 3777 Median 25 4523 $400 Mode 26 3777 26 Mode 6.181423784 2469 Standard Deviati 983.7746185 Standard Deviati Sample Variance 967812.5 Sample Variance 38.21 3428 26 Kurtosis 0.3536721427 Kurtosis 0.2419706508 3306 Skewness 0.7225483377 Skewness 0.4214401169 3470 25 3509 Range 3931 Range 2469 Minimum 11 5423 Minimum Maximum 6400 Maximum 36 2822 Sum 100780 Sum 607 3648 25 Count 25 4968 Count 4365 Confidence Leve 406.0822012 Confidence Leve 2.551566314 4275 3699 vehicle weight Frequency highway mpg Frequency 3186 11 1 Histogram 4628 2469 4215 3255.2 21 4616 4041.3999999999996 26 W C CD UI N 3088 4827.599999999999 NN CO CO A 31 2700 36 5613.799999999999 6400 1 1 More More A Frequency N Vehicle Weight vs. Highway MPG Scatterplot 10 2469 More 3255. 7999999 vehicle weight 4041.3999999 4827.59999 16 21 26 31 More 30 Bin highway mp 10 5000 6000 3000 4000 vehicle weight