5

A manufacturer of chocolate chips would like to know if its bag filling machine works correctly at the 438 gram setting. It is believed the machine is under filling the bags, thus cheating customers. Thirty seven bags were sampled and found to have a mean of 435 grams. Assume the population standard deviation is 14. Using a 0.05 significance level, determine if the bag filling machine is under filling the bags (that is, less than 438 grams).

• What is the null hypothesis? A. Ho: 438 B. Ho: = 438 C. Ho: 438
• What is the alternative hypothesis? A. Ha: < 438 B. Ha: > 438 C. Ha: 438
• What is the test statistic? Round answer to two decimal places.
• What is the p-value? Round the answer to three decimal places.
• What is the conclusion when you compare the p-value and the level of significance (alpha)? a. Reject the null hypothesis b. Fail to reject the null hypothesis
• What is the conclusion based on the original claim? A. At the 0.05 level of significance, the bag filling machine is not under filling the bags at the 438 gram setting. B. At the 0.05 level of significance, the bag filling machine is under filling the bags at the 438 gram setting.