Question

Math 333 plz ASAP

A postmix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of x ¯ = 1.13 fluid ounces and the sample standard deviation is s = 0.014 fluid ounces. Find a 95% two-sided confidence interval on the mean volume of syrup dispensed. Assume population is approximately normally distributed. Round your answers to 3 decimal places.

Answer 1

We have given that,              
              
Sample mean =1.13 fluid ounces      
Sample standard deviation =0.014 fluid ounces  
Sample size =25      
Level of significance=   0.05      
Degree of freedom =24      
              
t critical value is (by using t table)=2.064      
              
Confidence interval formula is               


=(1.124,1.136)      
              
              
Lower confidence limit=   1.124 fluid ounces      
              
Upper confidence limit=   1.136 fluid ounces