A measurement report is given and it includes the 15th measurements of the specific characteristic dimension on every shift. In the table given in MS-Excel Sheet these measured values can be analyzed. At 90% level of confidence, you need to ascertain whether there exists significant difference in the mean values of measurements of three shifts

First Shift	Second Shift	Third Shift
4.159	4.169	4.162
4.143	4.136	4.151
4.145	4.135	4.172
4.126	4.166	4.167
4.151	4.14	4.146
4.148	4.174	4.137
4.15	4.136	4.167
4.173	4.14	4.139
4.138	4.137	4.148
4.154	4.147	4.14
4.137	4.165	4.141
4.134	4.136	4.148
4.136	4.139	4.134
4.15	4.151	4.155
4.168	4.151	4.165
First Shift	Second Shift	Third Shift
4.159	4.169	4.162
4.143	4.136	4.151
4.145	4.135	4.172
4.126	4.166	4.167
4.151	4.14	4.146
4.148	4.174	4.137
4.15	4.136	4.167
4.173	4.14	4.139
4.138	4.137	4.148
4.154	4.147	4.14
4.137	4.165	4.141
4.134	4.136	4.148
4.136	4.139	4.134
4.15	4.151	4.155
4.168	4.151	4.165

a) Establish the hypothesis to be tested (3 marks)

b) Analyze the given data. (3 marks; checked only if 3.a is correct)

c) Interpretation and conclusion (