Question

The production line for Glow toothpaste is designed to fill tubes with toothpaste. A sample of tubes is selected in order to check the filling process. The data is listed below

1. At the 0.01 level of significance, is there any evidence that the mean weight of tubes is greater than 11 oz? (Hint: List the 4 steps)
2. At the 0.05 level of significance, is there any evidence that the mean weight is less than 10 oz? (Hint: List the 4 steps)
3. Describe a real life example that two variables are associated but there is not causal relationship.
4. Explain what p-value is

   Toothpaste (oz)
   12.02
   12.02
   12.05
   12.18
   12.11
   12.07
   12.05
   11.64
   12.39
   11.65
   12.11
   11.90
   12.22
   11.88
   12.03
   12.35
   12.09
   11.77
   12.20
   11.79
   12.30
   12.27
   12.29
   12.47
   12.03
   12.17
   11.94
   11.97
   12.23
   12.25
   11.91
   11.36
   11.75
   11.95
   12.14
   11.72
   11.61
   11.85
   12.16
   11.91
   12.12
   11.61
   12.21
   11.56
   11.95
   12.01
   12.06
   11.76
   11.82
   12.12
   11.60
   11.95
   11.96
   12.22
   11.75
   11.96
   11.95
   11.89
   11.88
   11.93
   11.62
   11.69
   11.59
   11.82
   11.97
   11.71
   11.87
   12.10
   12.01
   11.99
   12.20
   12.16
   12.00
   12.28
   12.39
   12.00
   11.92
   11.83
   12.23
   11.84
   12.07
   12.11
   12.05
   12.37
   12.25
   12.04
   12.24
   11.92
   12.37
   12.22
   11.55
   11.62
   11.52
   11.75
   11.90
   11.64
   11.80
   12.03
   11.94
   11.92
   12.13
   12.09
   11.93
   12.21
   12.32
   11.93
   11.85
   11.76
   12.16
   11.77
   12.00
   12.04
   11.98
   12.30
   12.18
   11.97
   12.17
   11.85
   12.30
   12.15

Answer 1