Boys of a certain age are known to have a mean weight of µ = 85 pounds. A complaint is made that the boys living in a municipal children’s home are underfed. As one bit of evidence, n = 25 boys (of the same age) are weighed and found to have a mean weight of x¯ = 80.94 pounds. It is known that the population standard deviation σ is 11.6 pounds (the unrealistic part of this example!). Based on the available data, what should be concluded concerning the complaint?
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.
Hi. Can i get some help with the question below please. Calculation steps and explanations.
Boys of a certain age are known to have a mean weight of µ = 85 pounds. A complaint is made that the boys living in a municipal children’s home are underfed. As one bit of evidence, n = 25 boys (of the same age) are weighed and found to have a mean weight of x¯ = 80.94 pounds. It is known that the population standard deviation σ is 11.6 pounds (the unrealistic part of this example!). Based on the available data,
what should be concluded concerning the complaint?
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