You know that the average female runner can run 4.6 miles in an hour. You want to see if a new ergonomic pair of running shoes can increase this running speed. So you recruit a sample of 80 women and measure how far they can run in an hour wearing your new shoe, comparing it to the population (without knowing σ). What type of statistical analysis would you use to answer this question? Single-sample t-test Dependent Samples t-test Independent Samples t-test One-way ANOVA Bivariate Correlation Bivariate Linear Regression
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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