Question: Using the following information. Notice that there are five samples of size n = 6 in each sample. A new machine is set or calibrated

  1. Using the following information. Notice that there are five samples of size n = 6 in each sample. A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running a sample of six tubes is taken every three hours and weighted with the following results: (provide step by step instructions on how you came up with the XBar, R, R bar, X double bar, UCL, and LCL)

Time

WEIGHT OF TOOTHPASTE

7:00 AM

6.69

6.68

6.79

6.77

6.74

6.76

10:00 AM

6.71

6.72

6.71

6.76

6.75

6.74

1:00 PM

6.66

6.68

6.67

6.71

6.76

6.78

4:00 PM

6.73

6.74

6.72

6.76

6.78

6.75

7:00 PM

6.75

6.73

6.75

6.77

6.79

6.75

  1. What is the average range?
  2. What is the average for 7 am sample?
  3. What is the LCL for the Range given the above data?

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