need the assignment done in 3 hours please

need the assignment done in 3 hours please


STAT 270 HW2 Q1. (10 marks) The following 5 scores (a SRS of size 5 from a class of 200 students) were taken from a recent quiz that was scored out of ten marks. Let X be the quiz scores: X1 X2 X3 X4 X5 8.9 5.4 6.2 7.0 4.3 A) (4 marks) Assuming normality of the measurements, obtain a 95% confidence interval for the average quiz score (µ). B) (6 marks) Test H0: µ = 5 vs. H0: µ > 5 using alpha (level of significance) = 0.05. Find P- value and provide a conclusion. Q2. (10 marks) Do Exercise 6.17 in Textbook (page 141, the third edition). Q3. (10 marks) Consider the 1000 95% confidence intervals (CI) for  that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of ? What is the probability that between 950 and 970 of these intervals contain the corresponding value of ? (Hint: Let Y = the number among the 1000 intervals that contain . What kind of random variable is Y?). Note: use continuity correction. Q4. (10 marks) Do Exercise 7.03 in Textbook (page 161, the third edition). Q5. (10 marks) Do Exercise 7.05 in Textbook (page 161, the third edition).