Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S....

Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10​,
can the claim be​ supported? Complete parts​ (a) through​ (e) below. Assume the population is normally distributed.

a. Identify Ho and Ha

b. find the critical values and sket the rejection region

c. calculate the test statistic

d. Do you "reject the Ho" or "fail to reject Ha"?

e. interpret results ( does it support or reject the claim)