What is the population for which inferencing is being done? (narrative, no calculation) What is the population parameter for which inferencing is being done? (narrative, no calculation) At a 99% level of confidence, what is the margin of error? What is the 99% confidence interval for the population parameter?
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.
In the current pandemic situation, students on our GMU campus are making greater use of robotic food delivery service. University dining services wants to know how satisfied students are with the robotic service during this crisis. It surveyed 45 students on campus and asked them to rate the service on a 100 point scale. They obtained a sample average of 78 points. This service has been provided by the University for some time and the population standard deviation of satisfaction is known to be 5.5 points.
- What is the population for which inferencing is being done? (narrative, no calculation)
- What is the population parameter for which inferencing is being done? (narrative, no calculation)
- At a 99% level of confidence, what is the margin of error?
- What is the 99% confidence interval for the population parameter?
A population is a set or group of observations associated with a certain phenomenon under statistical investigation. In this case, University dining services want to know how satisfied are students of GMU campus are with the robotic service during this crisis. Therefore, all the students of the GMU campus can be considered as population.
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