We appreciate your visit to Calculate the z score for a cake weighing 26 pounds compared to the average weight of cakes in a bakery Note To calculate the z. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final Answer:
The z-score for a cake weighing 26 pounds compared to the average weight of cakes in a bakery is approximately -1.23.
Explanation:
To calculate the z-score for a cake weighing 26 pounds compared to the average weight of cakes in a bakery, you can use the formula for z-score:
[tex]\[Z = \frac{X - \mu}{\sigma}\][/tex]
Where:
[tex]- \(Z\)[/tex] is the z-score.
[tex]- \(X\)[/tex] is the value you want to standardize (in this case, the weight of the cake, which is 26 pounds).
[tex]- \(\mu\)[/tex] is the mean (average) weight of cakes in the bakery.
[tex]- \(\sigma\)[/tex] is the standard deviation of cake weights in the bakery.
Without knowing the actual values for [tex]\(\mu\) and \(\sigma\)[/tex], we can't calculate the exact z-score. However, if we assume an average cake weight of, let's say, 30 pounds[tex](\(\mu = 30\))[/tex] and a standard deviation of 5 pounds [tex](\(\sigma = 5\))[/tex], then the calculation would look like this:
[tex]\[Z = \frac{26 - 30}{5} = \frac{-4}{5} = -0.8\][/tex]
This means that the cake weighing 26 pounds is 0.8 standard deviations below the average weight.
To get a more accurate z-score, you would need to know the actual mean and standard deviation of cake weights in the bakery. The z-score helps you understand how unusual or typical the weight of a 26-pound cake is in comparison to the average weight of cakes in the bakery.
Learn more about z-score
brainly.com/question/31613365
#SPJ11
Thanks for taking the time to read Calculate the z score for a cake weighing 26 pounds compared to the average weight of cakes in a bakery Note To calculate the z. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
