You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe population standard deviation is approximately o = 53.8. You would like to be 90% confident that yo is within 10 of the true population mean. How large of a sample size is required?
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.
![To estimate a population mean, you need to determine the appropriate sample size. Based on prior information, the population standard deviation is estimated to be \( \sigma = 53.8 \). You aim to have 90% confidence that your sample mean estimate is within 10 units of the actual population mean. What is the required sample size?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca9a00c3-b1dc-4943-ae27-a64d77c8049e%2F1f70d269-8a1a-469c-9c2b-bd0299f6eb20%2Fm7dj5ya_processed.png&w=3840&q=75)
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