A sleeping pill company have a pill that they claim will help you fall asleep in less than 30 minutes. A researcher is very skeptical of this claim and believe that it is more than 30 minutes. The researcher randomly collect 38 people and track how long it take them to fall asleep after they take the sleepy pill. The average mean time it took the 38 people to fall asleep is 31.5 minute with a standard deviation of 10.6 minutes. Test the researcher claim at a 10% significant level.
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.
A sleeping pill company have a pill that they claim will help you fall asleep in less than 30 minutes. A researcher is very skeptical of this claim and believe that it is more than 30 minutes. The researcher randomly collect 38 people and track how long it take them to fall asleep after they take the sleepy pill. The average mean time it took the 38 people to fall asleep is 31.5 minute with a standard deviation of 10.6 minutes. Test the researcher claim at a 10% significant level.
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