Reference no: EM132297282
Assignment Questions -
Answer all questions. Clearly show all the five steps of hypothesis testing in your solutions.
Question 1 - A Manager of one restaurant claims that their average number of customers is more than 100 a day. Below are the numbers of customers recorded for a month.
122, 110, 98, 131, 85, 102, 79, 110, 97, 133, 121, 116, 106, 129, 114, 109, 97, 133, 127, 114, 102, 129, 124, 125, 99, 98, 131, 109, 96, 123, 121.
Test the manager's claim at 5% significance level by assuming the population standard deviations is 5.
Question 2 - A kitchen cabinet manufacturer is interested in comparing assembly times for two assembly process. A random sample of five kitchen cabinets is selected and the assembly time (in minutes) on each cabinet of each process is recorded, as shown in table below.
|
Cabinet
|
Process 1
|
Process 2
|
|
1
|
115
|
140
|
|
2
|
165
|
155
|
|
3
|
90
|
85
|
|
4
|
105
|
110
|
|
5
|
90
|
85
|
Question 3 - A sample of 25 students were given a diagnostic test before taking a special module and then they will be given another test after completing the module.
At 0.05 level of significance, we want to find out if, in general, the special module teaching leads to improvements in students' knowledge.
|
Student
|
Pre-module marks
|
Post-module marks
|
|
1
|
56
|
58
|
|
2
|
45
|
49
|
|
3
|
77
|
82
|
|
4
|
46
|
44
|
|
5
|
58
|
61
|
|
6
|
59
|
60
|
|
7
|
62
|
62
|
|
8
|
66
|
70
|
|
9
|
52
|
60
|
|
10
|
57
|
61
|
|
11
|
62
|
65
|
|
12
|
55
|
62
|
|
13
|
73
|
78
|
|
14
|
51
|
50
|
|
15
|
40
|
45
|
|
16
|
64
|
68
|
|
17
|
50
|
55
|
|
18
|
66
|
69
|
|
19
|
73
|
80
|
|
20
|
60
|
66
|
|
21
|
66
|
70
|
|
22
|
54
|
60
|
|
23
|
49
|
47
|
|
24
|
52
|
59
|
|
25
|
55
|
61
|
Instructions - Write out your answer to the above three questions in a Word document.