Coca-Cola has a manufacturing process that meets the requirement that the standard deviation of amount of cola in a 12-ounce can be 0.115 ounces. A new process is being introduced to the factory, but it is first tested to see if it meets the requirement. 10 cans are randomly selected, and their volumes measured. Here is the raw data: 12.078 11.851 12.108 11.760 12.142 12.147 12.238 11.779 12.397 11.504 Use a 0.01 significance level to test the claim that the new process has the same standard deviation as the one it is replacing. A: State the claim symbolically: B: Identify the null and alternative hypotheses: C: Calculate the test statistic.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Coca-Cola has a manufacturing process that meets the requirement that the standard deviation of amount of cola in a 12-ounce can be 0.115 ounces. A new process is being introduced to the factory, but it is first tested to see if it meets the requirement. 10 cans are randomly selected, and their volumes measured. Here is the raw data: 12.078 11.851 12.108 11.760 12.142 12.147 12.238 11.779 12.397 11.504 Use a 0.01 significance level to test the claim that the new process has the same standard deviation as the one it is replacing.
A: State the claim symbolically:
B: Identify the null and alternative hypotheses:
C: Calculate the test statistic.
D: Calculate the P-value, (or assume that it is less than 0.01)
E: State your decision about the hypotheses.
F: Write a final, concluding statement that addresses the claim: There is
G: What do the results suggest about the new filling process? Because the sample standard
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