The promoter of a touring dance show wishes to analyse how the price per ticket affects the size of its audiences. She tests two prices, K40 and K50, over 11 shows each which give rise to the following attendances. Price K40 2122282720232632252130 K50 1918383324392220282630 (a) Enter the data into your calculator, and calculate the mean and standard deviation of the attendance for each sample. (4) (b) Perform a statistical test to determine whether the variances of the attendance are equal under the two prices. (6) (c) Perform a t-test to determine whether the mean attendance is the same under the two prices
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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