辅导 MTH205 Introduction to Statistical Methods Assignment 2讲解 Matlab编程

MTH205 Introduction to Statistical Methods

Assignment 2

1. Please use Matlab to solve all questions. You need to provide your Matlab code and the output. You need also to draw a conclusion or make a comment for each question.

2. You need to convert your answer into a PDF file, and then submit it to

3. You need to complete your submission before 9:00 am, Dec 14.

Q1 For the data in Q1. txt,

(a) Draw a box-plot for the given data. (4 marks)

(b) Conduct a test to determine if the data follows a Poisson distribution, using a significance level of 0.05. Note that the sample size is 100. (8 marks)

(12 marks)

Q2 The data, in Q2.txt, describes the sale prices of properties in four different neighborhoods from the previous month. It is assumed that all the data points are independent.

(a) Assume that all data collected are normally distributed. Use a proper method to test whether the means of sale prices are the same in neighbourhoods A and B. Test with α = 5%. (16 marks)

(b) Choose an appropriate nonparametric test to whether the medians of sale prices are the same in neigh- bourhoods A and B. Test with α = 5%. (8 marks)

(c) Assuming all the collected data follows a normal distribution with the same variance, Use a proper method to test whether the means of sale prices are equal across neighbourhoods A, B, C and D. If the means are different, use a proper way to compare which pairs are different. Test with α = 5%. (16 marks)

(40 marks)

Q3 A hospital is launching a program to improve its services. They are assessing patient satisfaction by collecting feedback from a random sample of 30 recently discharged patients. The data is given below.

Satisfaction	Severity
69	49
78	23
97	45
81	49
42	59
45	61
27	63
89	39
74	45
59	53
54	37
90	31
87	33
99	32
86	34
72	50
84	62
40	72
50	60
52	39
61	42
30	65
55	32
80	43
78	39
30	64
76	38
75	46
60	52
53	38