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

1 15.4 16 14.5

2 15.7 17 14.6

3 16.3 18 15

4 15 19 15.1

5 15.2 20 15.3

6 15.1 21 15.4

7 15.2 22 15.3

8 16 23 15.6

9 15.5 24 14.9

10 16.6 25 16.5

11 14.5 26 16.3

12 15.3 27 14.7

13 15 28 15.4

14 15.8 29 15.1

15 15.5 30 15.3

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