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STA3206

TEST 1

1. The weights of 40 apples from an orchard are shown in the table below.

(a)   Calculate the sample

               (i)   mean,                                                                                                       (2 marks)

(ii) standard deviation.                                                                                   (3 marks)

(b)   Draw a histogram for this distribution.                                                                (4 marks)

(c)   From the graph, estimate the mode.                                                                   (2 marks)

(d) Look at the histogram and comment on the shape of this distribution.               (1 mark)

2. Out of 50 students in a class, there is a total of 35 local students and of these, 10 of them are females. There are two female international students in this class. A student is randomly selected. Calculate the probability that this person is

(a) a male or an international student.                                                                       (3 marks)

(b) a female given that she is from local.                                                                   (3 marks)

(c) Are the events ‘an international student’ and ‘a female student’ independent? Justify your answer.                                                                                                       (4 marks)

3. The weight of chicken in a farm is normally distributed with mean 2.5kg and standard deviation 0.8kg.

(a) A chicken is randomly selected. Find the probability that it is more than 3.5kg.                                                                                      

(3 marks)

(b) 1.25% of the chicken weigh less than xkg. Find the value of x.     

                                                                                                 (4 marks)

4. (a) You were asked to study the age of residents in Nilai. Define the population and sample for this study.                                                                                                      (2 marks)

(b) State the level of measurement for each variable given below.                    

(i) Time taken to complete Assignment 1,

(ii) Preferred radio program,

(iii) Level of satisfaction with the service provided by a restaurant,

(iv) Grade obtained in Test 1.

(2 marks)