As the director of a research laboratory you are paid to decide if there is a significant difference between the mean values of two sets of data obtained by two different scientists, a senior scientist and one recently hired. Use 95% CL. (t at df = 10 is 2.23) • Data of Senior Scientist: x mean = 24.66% with s = 0.06% for n = 5 • Data of the New Kid: x mean = 24.55% with s = 0.10% for n = 7
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.
As the director of a research laboratory you are paid to decide if there is a significant
difference between the
senior scientist and one recently hired. Use 95% CL. (t at df = 10 is 2.23)
• Data of Senior Scientist: x mean = 24.66% with s = 0.06% for n = 5
• Data of the New Kid: x mean = 24.55% with s = 0.10% for n = 7
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