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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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