 # Psy 315 Week 4 Case Study

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Step 1: Calculate the mean, median, and standard deviation for ounces in the bottles. Answer: Mean 14.87 Median 14.8 Standard Deveiation 0.55033 For the full calculation, refer to Appendix #1 at the end of the essay. Step 2: Create a 95% Confidence Interval for the ounces in the bottles. Answer: x ̅=14.87 ,s=0.5503 , n=30 , α=0.05 The level of confidence is at 95%. Use the following formula to determine the confidence interval: (x ̅-t_(α/2) (s/√n),x ̅+t_(α/2) (s/√n)) t_(α/2)=t_0.025=2.045 Substitute the values into the formula: (14.87-2.045(0.5503/√30),14.872.045(0.5503/√30)) = (14.665,15.075) The calculation above clearly states that the confidence interval at 95% confidence is approximately 14.665 - 15.075 ounces. Step 3: Crete a hypothesis to test the claim that a bottle contains less than sixteen ounce is correct. Be sure to clearly state the logic of the…show more content…
Therefore, the null hypothesis H0: µ ≥ 16 ounces is rejected, leading to the mean being less than sixteen ounces. Step 4: The following is discussion based on the conclusion of the test: If it is concluded that there are less than sixteen ounces in a bottle of soda, create a hypothesis on three possible causes. Followed by the suggestions of the strategies to avoid the deficit in the future. Answer: When analyzing the test, one can conclude that the complaint about the bottles not containing sixteen ounces tends to be correct. Possible reasons for the bottles not containing the amount as marketed are listed below. A malfunction is the software used by the company. Errors such as: leaks in containers, spills when filling the bottles and malfunction in the soda dispensers used by the company. Failure by the company employees that check the bottles to ensure the proper amount of