stats assignment

[poakceor]

Question 1:
Give the answer of short questions.
1) How can we determine the three possible locations of rejection region?

2) If α= 0.10, how many intervals would be expected to contain μ ?
3) What does role the sample mean play in a two-sided confidence interval for based on a random sample from a normal distribution?
4) In which situation we may replace O^2 by S^2 .
5) If an automobile is driven on the average no more than 16000 Km per year, then formulate the null and alternative hypothesis.

Question 2:
a) The average yield of corn of variety A exceeds the average yield of variety B by at least 200 Kg per acre, formulate null and alternative hypothesis.
b) When we use one-sided test and two-sided test?
c) In a poll of college students in a large university, 300 of 400 students living in students residences (hostels) approved a certain course of action, whereas 200 of 300 students not living in students’ residences approved it. Compute the 90% confidence interval for the difference of proportions.

Question 3:
a) The Punjab Highway Department is studying the traffic pattern on the G.T. Road near Lahore. As part of the study, the department needs to estimate the average number of vehicles that pass the Ravi Bridge each day. A random sample of 65 days givesX = 5010 and s = 650. Find the 90 percent confidence interval estimate for μ, the average number of vehicles per day.
b) Mr. A wants to run election for City Government. After a strong election campaign, Mr. A's staff conducts their own poll over the weekend prior to the election. The results show that for a random sample of 500 voters 290 will vote for Mr. A. Develop a 95 percent confidence interval for the population proportion who will vote for Mr. A using .