Question

A machine that is programmed to package 18.7 ounces of cereal in each cereal box is being tested for its accuracy. In a sample of 43 cereal boxes, the mean is 18.79 ounces. Assume that the population standard deviation is 0.24 ounces. Can you conclude at the 5% significance level that the machine is not working properly? That is, can you conclude that the machine is either underfilling or overfilling the cereal boxes?

1. To test: H_o:  (Click to select)  β  μ  p  x¯  α   (Click to select)  ≥  =  <  ≤  >  ≠     vs. H_a:  (Click to select)   x¯  μ   β   α  p   (Click to select)  =  ≤  >  ≠  <  ≥  

2. Test Statistic (Round to 3 decimals): z =

3. p-value (Round to 3 decimals):

Conclusion: At α =  ,  (Click to select)  reject Ha  reject Ho  do not reject Ho  do not reject Ha  since p-value  (Click to select)  <  >  =   α. We have  (Click to select)  insufficient  sufficient  evidence to conclude that the  (Click to select)  sample proportion  population proportion  population variance  sample variance  sample mean  population mean  cereal box fill weight  (Click to select)  is greater than  is less than  is equal to  differs from   ounces.

Therefore, there  (Click to select)  is  is not  enough evidence to conclude that the machine is not working properly.

Answer 1