Question
As companies gradually moving out of recession caused by the Covid-19 pandemic, there was an increased attention to productivity. In that spirit, Mr Zhang Tianhan,
As companies gradually moving out of recession caused by the Covid-19 pandemic, there was an increased attention to productivity. In that spirit, Mr Zhang Tianhan, the Operations Director of a textile manufacturing company, wants to determine what are the factors that could affect productivity. The factory is organised in teams of 10 workers hence all measurements are team-based. He collected the following data for this purpose:
TEAM: | Team 1 to 20 |
PRODUCTION: | Production volume for each team (units per day) |
EXPERIENCE: | Average sewing experience in each team (years) |
AGE: | Average age of workers in each team (years) |
SHIFT: | 1 means day-shift |
| 0 means night-shift |
GENDER: | 1 means team leader is male |
| 0 means team leader is female |
Question: Execute hypothesis tests to advise Mr Zhang which variable(s) is/are significant at the5% significance level. Write down your steps carefully.
Data set:
Team | Production | Experience | Age | Shift | Gender |
1 | 54 | 4.8 | 30.5 | 1 | 0 |
2 | 57 | 4.1 | 31.3 | 1 | 1 |
3 | 98 | 5.0 | 29.6 | 0 | 0 |
4 | 64 | 4.7 | 30.5 | 0 | 0 |
5 | 104 | 6.5 | 26.2 | 0 | 0 |
6 | 65 | 5.4 | 32.0 | 1 | 0 |
7 | 99 | 5.6 | 27.5 | 1 | 0 |
8 | 58 | 2.7 | 30.8 | 0 | 1 |
9 | 85 | 5.4 | 29.5 | 1 | 0 |
10 | 59 | 4.5 | 31.2 | 1 | 0 |
11 | 63 | 3.2 | 30.5 | 0 | 0 |
12 | 67 | 3.8 | 33.5 | 0 | 0 |
13 | 97 | 5.5 | 30.0 | 0 | 0 |
14 | 94 | 5.8 | 30.3 | 0 | 0 |
15 | 78 | 3.3 | 31.1 | 0 | 1 |
16 | 56 | 4.5 | 29.5 | 1 | 0 |
17 | 66 | 3.8 | 30.6 | 1 | 0 |
18 | 55 | 5.0 | 30.5 | 1 | 0 |
19 | 92 | 4.8 | 27.5 | 0 | 0 |
20 | 52 | 4.5 | 30.4 | 1 | 0 |
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