Question

A sample of   10   small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was   2   ounces with a sample standard deviation   s=0.2   ounces. We would like to calculate an 80% confidence interval for the average weight of a sample of size   10 .

1. (3%) standard error   =   
2. 
   
3. 
   
4. 
   
5. (3%) The critical   t   value for an 80% confidence interval is
   

   tcrit=   

6. 
   
7. 
   
8. 
   
9. (3%)   EBM=   
10. 
    
11. 
    
12. 
    
13. (3%) An   80%   confidence interval for the population average weight of the candies is from
    

       to   

Answer 1

Mean = 2

Sample size (n) = 10

Standard deviation (s) = 0.2

a)

b)

Confidence interval(in %) = 80

Degree of freedom = n - 1 = 9

c)

d)

Required confidence interval

Required confidence interval = (2.0-0.0875, 2.0+0.0875)

Required confidence interval = (1.9125, 2.0875)

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