Based on sample data, a confidence interval has been constructed such that we have 90% confidence that

Question:

Based on sample data, a confidence interval has been constructed such that we have 90% confidence that the population mean is between 120 and 180. Given this information, provide the conclusion that would be reached for each of the following hypothesis tests at the α = 0.10 level:
a. H0: μ = 170 versus H1: μ ≠ 170
b. H0: μ = 110 versus H1: μ ≠ 110
c. H0: μ = 130 versus H1: μ ≠ 130
d. H0: μ = 200 versus H1: μ ≠ 200