Stephanie Hill has been hand painting wooden Christmas ornaments for several years. Recently she has hired some friends to help her increase the volume of her business. In checking the quality of the work, she notices that some slight blemishes occasionally are apparent. A sample of 22 pieces of work resulted in the following number of blemishes on each piece: 1, 2, 1, 5, 0, 3, 2, 6, 4, 1, 2, 1, 0, 1, 7, 1, 6, 2, 2, 1, 4, 3.

Develop upper and lower control limits for the number of blemishes on each piece based on a confidence level of 95.45% (z=2)

a. What are the UCL [ Select ] ["1.01", "5.66", "5.41", "5.50", "3.02"] and the LCL [ Select ] ["3.61", "2.02", "-.69839", "1.11", "0", "-.66228"] ?

b. Does the number of blemishes fall within an acceptable limit? [ Select ] ["Based on the information and the confidence level, yes", "cannot determine based on the data", "No", "Yes"] If not, which sample(s) are outside the calculated limits? [ Select ] ["samples 8, 15, 17", "Samples 2, 6, 7, 9, 11, 15,", "samples 4 and 17", "Overall the number of blemishes are acceptable", "All samples fall within the limits"]