Statistics for Management - X Chart and R Chart - Statistic Assignment Help

Assignment Task:

Answer All Questions. 
1. If the diameters of ball bearings are normally distributed with mean 15.6 mm and standard deviation 0.06 mm, determine the percentage of ball bearings with diameters. 
i. less than 15.5 mm, 
ii. greater than 15.7 mm,
iii. between 15.5 mm and 15.7 mm. iv. If the management decided to reject the top 5% and bottom 5% due to quality control, find the upper and lower limits of the acceptable diameter. To solve the above problem, which distribution you are using and give the reason based on your chosen statistical method? How do you evaluate the different concepts to solve the above respective questions: (i), (ii), (iii) and (iv)? 
 
2. In the excel attachment uploaded on moodle.strategyfirst.edu.mm, the data set gives the weight cereals (in lbs) placed in boxes for 5 boxes in each of 10 samples.  

i. Construct an X chart and R chart.  
ii. Determine whether the process is in control. 
iii. If additional sample observations are 8.4, 7.7, 8.5, 8.1, and 8.5, what conclusion can you draw? To solve the above problem, which type of concept you are using and give some examples. 

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