Bottling Company Case Study
Bottling Company Case Study
Calculate the mean, median, and standard deviation for ounces in the bottles.
Bottle Number
Ounces
Bottle Number
Ounces
To calculate the mean and median for the following thirty values I first have to put the values in order:
14.5, 14.5, 14.6, 14.7, 14.9, 15, 15, 15, 15.1, 15.1, 15.1, 15.2, 15.2, 15.3, 15.3, 15.3, 15.3, 15.4, 15.4, 15.4, 15.5, 15.5, 15.6, 15.7, 15.8, 16, 16.3, 16.3, 16.5, 16.6. Once the values are added, divide the sum by the total number of values which is 30; this will give you a mean of 15.37. Total: 461.1/ 30 = 15.37
Mean: (Avg.) 15.37
To calculate the median I add the two middle numbers, and divide the sum by two, 15.3 + 15.3= 30.6; 30.6 / 2, therefore my median is15.3.
Median: (15.3 + 15.3) = 30.6/ 2 = 15.3
Standard Deviation: 0.55
Construct a 95% Confidence Interval for the ounces in the bottles.
With a mean score of 15.37, a standard deviation of 0.55, and a desired confidence level of 95%, the corresponding confidence interval is + 0.2, (Sauro, 2006). There is a 95% certainty that the actual population mean falls within the range of 15.17 to 15.57.
Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Clearly