Statistics Solutions

(See Steps) A worker (in a ketchup plant) took four (4) samples every hour for twenty hours. The viscosity measurement for each sample is given below: hour

Question: A worker (in a ketchup plant) took four (4) samples every hour for twenty hours. The viscosity measurement for each sample is given below:

hour 1 hour 2 hour 3 hour 4 hour 5 hour 6 hour 7 hour 8 hour 9 hour 10
sample 1 17 16 14 18 19 20 18 17 16 15
sample 2 19 18 15 19 19 21 17 16 17 16
sample 3 18 20 16 20 18 20 18 15 18 14
sample 4 17 17 14 17 19 19 18 20 18 15
X-bar =
R =
hour 11 hour 12 hour 13 hour 14 hour 15 hour 16 hour 17 hour 18 hour 19 hour20
sample 1 18 19 18 17 20 15 16 18 17 15
sample 2 18 18 20 21 20 16 15 19 16 21
sample 3 19 17 18 17 20 17 14 18 20 14
sample 4 20 20 18 16 20 16 17 20 18 18
X-bar =
R =
  1. calculate and log the X-bar and R for each subgroup (set of four samples taken each hour)
  2. Calculate the following for an X-bar chart and plot them on an X-bar chart (use equations and table on p.775)
    UCL:______ LCL:______ X-double-bar (centerline):________
    Caution: when reading the table, sample size is 4, not 20.
  3. Plot the twenty values of X-bar on the X-bar chart (see p.776 for example)
  4. Calculate the following for the R-chart and plot them on an R-chart (use equations p.777 and table on p. 775)
    UCL:______ LCL:_______ R-bar (centerline) ___________
  5. Plot the twenty values of R on the chart (see p. 778 for example).
  6. On both charts (X-bar chart and R-chart), encircle the points that are outside the limits.

Note: Please use chart paper for the X-bar chart and the R-chart. Charting on notepaper will be considered unacceptable.

Price: $2.99
Solution: The downloadable solution consists of 6 pages
Deliverable: Word Document


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