According to a survey in 2019and 2018, the average cost of raising a show steer for majors shows was $18,980 in 2019and

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According to a survey in 2019and 2018, the average cost ofraising a show steer for majors shows was $18,980 in 2019and$19,560 in 2018.Suppose that these averages were based on randomsamples of 150 and 200 Major livestock steer showers for 2019and2018, respectively. Further assume that the population standarddeviations were $243 and $170, respectively. Let μ1 and μ2 be therespective population means for such annual premiums for the years2019 and 2018, respectively. Show your work
a. What is the point estimate of μ1 – μ2? Show steps in solvingthe problem.
b. Construct a 97% confidence interval for μ1 –μ2. Show yoursteps to solving the problem.
c. Test at the 5% significance level whether the populationmeans for the two years are different. Show your steps tosolving the problem.