Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 bags. The standard deviation is estimated to be 3 ounces. The upper control chart limit (for 99.7% confidence) for the average would be ounces.

The value is  

Step-by-step explanation:

From the question we are told that

    The sample mean is  

    The sample size is  n =  25

    The standard deviation is  

Given that the sample size is not large enough i.e  n<  30  we will make use of the student t distribution table  

From the question we are told the confidence level is  99.7% , hence the level of significance is    

=>  

Generally the degree of freedom is  

=>  

=>    

Generally from the student t distribution table the critical value  of   at a degree of freedom of   is  

Generally the margin of error is mathematically represented as  

=>    

=>    

Gnerally the  upper control chart limit  for 99.7% confidence is mathematically represented as

=>        

=>        

11 feet 6 inches and 8 feet 6 inches