A bakery owner is trying out new donut recipes that have less fat. The current recipe have an averafe fat of 175 grams. She bakes a dozen of each new donut recipe. The mean for new donut recipe number 1 is 184.5 grams of fat with a standard deviation of 11.5. The second new recipe has a mean of 165.2 grams of fat with a standard deviation of 10.2. For the first donut recipe find the values of the 99% confidence interval around the sample mean. We want to test to see if the second donut recipe differs from the average of 172 grams. Create a 95% confidence interval for the second donut recipe Can we say the second recipe is different than the current recipe?
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.
A bakery owner is trying out new donut recipes that have less fat. The current recipe have an averafe fat of 175 grams. She bakes a dozen of each new donut recipe. The mean for new donut recipe number 1 is 184.5 grams of fat with a standard deviation of 11.5. The second new recipe has a mean of 165.2 grams of fat with a standard deviation of 10.2.
For the first donut recipe find the values of the 99% confidence interval around the sample mean.
We want to test to see if the second donut recipe differs from the average of 172 grams. Create a 95% confidence interval for the second donut recipe
Can we say the second recipe is different than the current recipe?
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