Question: PLEASE USE R STUDIO TO ANSWER THESE QUESTIONS (Exercise 1: A company with a large fleet of cars wants to study the gasoline usage. They

PLEASE USE R STUDIO TO ANSWER THESE QUESTIONS

(Exercise 1: A company with a large fleet of cars wants to study the gasoline usage. They check the gasoline usage for 50 company trips chosen at random, finding a mean of 25.16 mpg. Based on the past experience, they believe that the gasoline usage is normally distributed and the standard deviation of the general gasoline usage is 4.82 mpg.)

Exercise 4: Consider the problem in Exercise 1 again. The company wants to conduct a test, with = 0.05, to see whether the fleet average is less than 26 mpg.

(a) Which kind of tests is appropriate to use here, z-test or t-test?

(b) Write appropriate hypotheses. Is the alternative hypothesis one-sided or two-sided?

(c) Use R to compute the test statistic and construct rejection region. Make conclusion using the test statistic and rejection region.

(d) Use R to compute p-value. Make conclusion using p-value. Is it consistent with the conclusion in part (c)?

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