An individuaľ's present route to work results in, on average, 40 minutes of travel time per trip. An alternate route has been suggested by a friend, who claims that it will reduce the travel time. Suppose that the new route was tried on 10 randomly chosen occasions with the following times resulting: 1.44, 38.5, 37.5, 39, 38.2, 36, 42, 36.5, 36, 34 Do these data establish the claim that the new route is shorter, at the (a) 1 percent level of significance (b) 5 percent level of significance (c) 10 percent level of significance
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.
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