In: Math
a.) Given sample data: 61.2, 61.9, 62.8, 63.1, 64.0, 64.3, 64.9,
65.5, 66.3 and 67.9,
test H0: m £ 62.89 versus H1:
m > 62.89 at a = 0.05.
b.) Test H0: π = 0.25 versus HA: π ¹ 0.25
with p = 0.33 and n = 100 at alpha = 0.05 and 0.10.
c.) Test at α =.05 and 0.10 the hypothesis that a majority (more than 50%) of students favor the plus/minus grading system at a university if in a random sample of 500 students, 265 favor the system?
d.) The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches. A sample of 36 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 29.82 and 30.27 inches long?