Boston (Sample 1) Midwest (Sample 2) South (Sample 3) 3 11 11 3 Sample size 5 4 Sample mean 3.60 6.67 7.75 Sample variance 5.8 7.10 6.25
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.
2. A national car rental agency is interested in determining whether the mean days that customers rent cars is the same between three of its major cities. The following data reflect the number of days people rented a car for a sample of people in each of three cities. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists between the population mean days corresponding to the three cities? Use the One-Way ANOVA test.
-Attached is the image with the following data.
Step 1 - State the Hypothesis
Step 2 - Decide on alpha
Step 3 - Calculate the Test Statistic
Step 4 - Find the Critical Value
Step 5 - Conclusion
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