A manufacturer of chocolate chips would like to know if its bagfilling machine works correctly at the
Question:
A manufacturer of chocolate chips would like to know if its bagfilling machine works correctly at the 438 gram setting. Itis believed the machine is under filling the bags, thus cheatingcustomers. Thirty seven bags were sampled and found tohave a mean of 435 grams. Assume the population standarddeviation is 14. Using a 0.05 significance level, determineif the bag filling machine is under filling the bags (that is, lessthan 438 grams).
1) Which test are you running?
| Chi-square Goodness of Fit |
| One mean t-test |
| One mean z-test |
| ANOVA |
2) What is the null hypothesis?
What is the alternative hypothesis?
What is the test statistic? Round answer to two decimalplaces.
What is the p-value? Round the answer to four decimalplaces.
3)What is the conclusion when you compare the p-value and thelevel of significance (alpha)?
| Reject the null hypothesis |
| Fail to reject the null hypothesis |
4)What is the conclusion based on the original claim?
| At the 0.05 level of significance, the bag filling machine isunder filling the bags at the 438 gram setting. |
| At the 0.05 level of significance, the bag filling machine isnot under filling the bags at the 438 gram setting. |
Business Statistics For Contemporary Decision Making
ISBN: 978-1118749647
8th edition
Authors: Black Ken