Nt1310 Unit 4 Case Study

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Utilizing the information from the table above the mean, median and standard deviation will be calculated. The mean equals the average of the sample by adding all the values of the samples and then dividing by the total number of items. The mean for the samples collected is 14.87 ounces which rounded up 14.9 ounces. The median is calculated to be 14.8 ounces. The median is calculated by averaging the data in order and finding the midway point of the data set. Last to find is to find the standard deviation, which is the square root of the variance. It measures the amount of variation from the average. If the standard deviation is low it shows that the data points tend to be very close to the mean; a high standard deviation shows that the data points spread out over a large range of values. For the ounces of bottles in the sample the standard deviation is 0.55.
Construct a 95% Confidence Interval
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It gives an estimated range of values which is likely to include an unknown population parameter, the estimated ranged being calculated from a given set of sample data. In the case study the customers complained that the bottling company provides less than 16 ounces of soda per bottle. The company needs to determine if there is enough evidence to conclude the soda bottles do not contain sixteen ounces. The size of the sample is 30 bottles that has a mean of 14.9 ounces. The standard deviation is found to be .55. Using these calculations there is a confidence level of 95% and the confidence interval would be .2. Therefore, it is a 95% certainty that the true population mean falls with the range of 14.7 to 15.1

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