Please solve the following Problem using RStudio, may you please explain the steps?

Problem 2: The emissions of nitrous oxide from last year's model of auto mobile have been measured for thousands of cars and found to be approxi- mately Normal with mean 6.8 and standard deviation 1.94. Twelve of this year's model automobile have been tested with the following results Data = (5.0, 4.8, 5.8, 5.9, 6.2, 6.0, 5.9, 6.6, 5.5, 6.6, 6.2, 5.6). a) Generate Normal data under Null Hypothesis (mean=.3, st.dev = 1.94). b) Perform a Randomization test using to,\" = (i1 :Eg)/S.E, to deter- mine if there is a signicant difference between the generated normal data port (a) and assumed normal data collected. Obtain either an exact or approximate pvalue. Under what distribution was the pvalue calculated? c) Perform a Randomization test using tub, = (5.7-1 i2)/S.E, to deter- mine if there is a signicant difference between the generated normal data port (a) and assumed normal data collected. Obtain either an exact or approximate p-value. Under what distribution was the pvalue calculated? (1) Perform a Randomization test creating your own test statistic dif- ferent from pcrb) and part( c), to determine if there is a signicant difference between the generated normal data port (a) and assumed normal data collected. Obtain either an exact or approximate pvalue. Under what distribution was the pvalue calculated