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Conducting of Hypothesis Test in Verifying Customer Claim
H0: The company bottled brand of soda do not contain less than 16 ounces of being advertised?
H1: The company bottled brand of soda contains less than 16 ounces of being advertised?
Therefore, with the complaint mean at 16, the null and alternative hypotheses are”
H0 = 16
H1 ≠ 16
With a sample size of 30, statistic theory suggests that sample is normally distributed and hence z-test can be used as the appropriate test statistic. Hence,
Z = (15.99–16)/ (0.661381/sqr. root of 30) = -0.01/ (0.1207510976)
Z = -0.08281498221
It is noted that the confidence level is at 95%, hence,
Alpha is obtained by:
α = 1 – (95/100) = 0.05
The reject or acceptance values are 0.05/2 = 0.0025
From the calculation, Z = -0.08281498221, which is a value bigger than 0.0025, and since 0.08281498221 is larger than 0.0025, which means the statistic lies in the reject region. There is the rejection of the null hypothesis
Conclusion: The customers are justified and right in their complaints, the company branded soda produced by the company contains less than the highly advertised value of 16 ounces.
Provision of Discussion based on Hypothesis Test Outcome Conclusion:
Causes of Less Ounce Values
It is possible that the company uses an automated system in the soda bottling process, yet there is no fully standardized mechanism. Therefore, although the desired mean is 16 ounces, it is possible that values not being standardized leads to the variations in the ounce values.
It is possible that the calibration of the machines is wrong, when installed before the beginning of the production process. Therefore, as opposed to measuring the right 16 ounces and volumes in the bottles, less values are produced in the bottling process.
It is also possible that although the 30 persons prove that the soda contains less ounces, i.e., with only 30 people chosen in the sampling process, it is likely that the bottles were the ones with measurement errors.
Strategies for Future Application
Train employees and other related quality control responsible personnel on the need for efficiency and quality during the soda production process
Undertake a more comprehensive study that covers more than 30 people, so as to compare the findings of the current survey with the subsequent study.
Undertake routine random tests and ounce volumes and record values to determine if they lie within the stipulated confidence interval of 15.854±0.2367, i.e., between 16.0907 or 15.6173, and then implement measures that ensures that the right standards are set.
Confirm the calibrations and measurements in the bottling process so as to make sure that there is consistency and standardization in ounce values.
