Les Miles believes monetary incentives increase an individual’s endurance. In a recently conducted experiment, Les had two groups of participants – one group received a monetary incentive that increased the longer they endured isometric pain while the control group received no monetary incentive. There were 40 participants in the monetary incentive group and those participants endured isometric pain for an average of 5 minutes with a standard deviation of 18 seconds. There were 30 participants in the control group and those participants endured isometric pain for an average of 4 minutes with a standard deviation of 24 seconds. Determine a 95% confidence interval for the average difference between the two population’s mean times for enduring isometric pain.
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.
Les Miles believes monetary incentives increase an individual’s endurance. In a recently conducted experiment, Les had two groups of participants – one group received a monetary incentive that increased the longer they endured isometric pain while the control group received no monetary incentive. There were 40 participants in the monetary incentive group and those participants endured isometric pain for an average of 5 minutes with a standard deviation of 18 seconds. There were 30 participants in the control group and those participants endured isometric pain for an average of 4 minutes with a standard deviation of 24 seconds. Determine a 95% confidence interval for the average difference between the two population’s mean times for enduring isometric pain.
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