Question 3: Every morning, Prairie Bakery bakes fresh bread rolls. To monitor the weight of each bread
Question:
Question 3:Every morning, Prairie Bakery bakes fresh bread rolls. To monitor the weight of each bread roll, 6 samples were taken with 10 bread rolls in each sample. Table below reports the weight measurements in ounces (oz) on the samples taken:
Sample 1 | Sample 2 | Sample 3 | Sample 4 | Sample 5 | Sample 6 | |
Roll 1 | 7.525 | 8.340 | 6.803 | 8.759 | 7.234 | 7.947 |
Roll 2 | 7.888 | 8.573 | 8.896 | 7.314 | 7.527 | 8.467 |
Roll 3 | 8.405 | 10.064 | 8.787 | 8.940 | 9.268 | 7.278 |
Roll 4 | 8.783 | 7.140 | 8.074 | 8.548 | 9.447 | 8.299 |
Roll 5 | 8.563 | 8.175 | 6.829 | 9.066 | 7.578 | 8.689 |
Roll 6 | 8.205 | 8.003 | 6.931 | 8.442 | 7.243 | 8.720 |
Roll 7 | 8.737 | 6.010 | 7.764 | 6.264 | 8.101 | 8.536 |
Roll 8 | 8.022 | 10.132 | 6.985 | 8.894 | 7.257 | 8.711 |
Roll 9 | 7.422 | 8.633 | 7.671 | 7.924 | 8.880 | 8.176 |
Roll 10 | 7.563 | 7.607 | 6.475 | 7.589 | 7.066 | 6.477 |
Note:Table above is also provided in excel format on Canvas with filename Homework 3 - ExcelData
a):Construct the appropriate three sigma control chart to monitor the average bread roll weight. (Report center line and control limits. Draw the control chart and plot your sample information on the control chart. In your analysis use a precision level of 3 digits in decimal points).
Hint:To obtain sample average,, you can use excel's =AVERAGE(.) function. To obtain sample standard deviations, you can use excel's =STDEV.S() function.
b): What would be the probability of making a type I error if the control limits were set as 8.305 and 7.749?
c):Studies on the dough divider machine indicate that the weight of the dough it portions has an average of 8 oz and a standard deviation of 1 oz, following a normal distribution. Bakery sets the weight specifications of a bread roll as 6 oz to 11 oz. Is the machine capable of meeting these specifications?
Statistics For Business And Economics
ISBN: 9780134506593
13th Edition
Authors: James T. McClave, P. George Benson, Terry Sincich