Captain Tony's Fish and Chips is a restaurant with two locations, A and B. Sales data from each restaurant (in thousands of Rand) on six randomly selected Saturdays are given below. It is assumed that sales on Saturdays at these two restaurant locations are independent, normally distributed and that the standard deviation of Saturday sales is the same at both locations. Location A Location B 25.7 29 16.4 21.1 17.6 19.5 15.1 26.3 19.6 17.4 25.1 22.8 The manager of Location B claims that her restaurant's average Saturday sales are greater than those of Location A. Does the data prove her claim correct? Use the critical value method to test the claim at 10% 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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