State inspectors suspect that a soda company has been systematically under‐filling its 20
ounce bottles of soda. They take a random sample of 100 bottles and find an average
amount of soda per bottle of 19.55 ounces, with a standard deviation of 2 ounces.Using the
seven steps of hypothesis testing described in class,test whether this proves that the
company is under‐filling its bottles? Test the inspectors’suspicion at the .05 level of
significance.(**Note: This is a one‐tailed test.)

Question

State inspectors suspect that a soda company has been systematically under‐filling its 20
ounce bottles of soda. They take a random sample of 100 bottles and find an average
amount of soda per bottle of 19.55 ounces, with a standard deviation of 2 ounces.Using the
seven steps of hypothesis testing described in class,test whether this proves that the
company is under‐filling its bottles? Test the inspectors’suspicion at the .05 level of
significance.(**Note: This is a one‐tailed test.)

anonymous · Answer

1. Specify the null & alternative hypotheses
2. Determine the appropriate test statistic and sampling 
distribution 
3. Decide on a significance level and find the critical value 
& region of the distribution 
4. Compute the observed value of the test statistic
5. Make a decision about the null hypothesis
6. Find the p-value
7. Write-up your results

anonymous · Answer

help with number 2