2. According to last year's report, a Filipino household spends an average of Php400.00 per day for food. Suppose you recently took a random sample of 25 households. You determined how mucheach household spent for food each day and the results revealed a mean of Php390.00 and a standard deviation of Php21.50. Using a 0.01 level of significance, can it be concluded that the average amount spent per day for food has decreased? Assume normality over the population. Solution: Step 1: State the hypothes is. Ho: На: Step 2: The level of significance and critical value. Level Significance a = df = tcritical = Type of test: Step 3: Compute for the value of one sample z test. Step 4: Decisionrule, Step 5: Conclusion
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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