We appreciate your visit to What is the probability that the average weight of 23 randomly selected babies is between 3000 grams and 3700 grams Round your answer to 4. 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 :
The probability that the average weight of 23 randomly selected babies falls between 3000 grams and 3700 grams can be calculated using the Central Limit Theorem and the assumption of a normal distribution.
The Central Limit Theorem states that the distribution of sample means will be approximately normal, regardless of the shape of the population distribution, if the sample size is large enough. With this in mind, we can approximate the distribution of the average weight of 23 randomly selected babies as a normal distribution.
To find the probability that the average weight falls between 3000 grams and 3700 grams, we need to standardize the values using the mean and standard deviation of the population. Let's assume that the mean weight of babies is μ and the standard deviation is σ.
Using the Central Limit Theorem, we know that the mean of the sample means will be equal to the population mean (μ) and the standard deviation of the sample means will be equal to the population standard deviation divided by the square root of the sample size (σ/√n).
Next, we can standardize the values of 3000 grams and 3700 grams by subtracting the population mean and dividing by the standard deviation of the sample means. Let's denote the standardized values as Z1 and Z2.
Once we have Z1 and Z2, we can look up the corresponding probabilities from the standard normal distribution table or use statistical software to calculate the area under the curve between Z1 and Z2.
The calculated probability will give us the likelihood that the average weight of 23 randomly selected babies falls between 3000 grams and 3700 grams.
Learn more about Central Limit Theorem here:
https://brainly.com/question/898534
#SPJ11
Thanks for taking the time to read What is the probability that the average weight of 23 randomly selected babies is between 3000 grams and 3700 grams Round your answer to 4. 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
