Annual And Seasonal Rainfall Case Study
1. Rainfall
1.1. Use appropriate descriptive graphical and numerical summaries to describe the main features of the annual and seasonal rainfalls and their overall distributions
1.1.1. Graphical presentation of the main features of the annual and seasonal rainfalls:
Fig.1: Multiple Bar Charts
Fig 2: Line Chart
These graphs show that there is maximum Annual Rain and Monsoon Rain at station Lumle ID number 17. Their distribution approaches to approximately normal. These graphs shows that there is heavy Rain in Monsoon season.
1.1.2. Numerical summaries of the main features of the annual and seasonal rainfalls:
We use the following formulas to explain the numerical summaries of the main features of the annual and seasonal rainfalls in Excel …show more content…
Dev. 781 923 26.55 105.2 796 45.88 4.21
Variance 610082 851388 704.66 11073.9 632826 2105.2 17.723
Coeff.Var. 77.72 46.88 46.53 42.64 50.61 49.74 20.48
In this table the coefficient of variation of Monsoon Rain is smaller than all types of Rains. This shows that there is consistency in the Monsoon Rain because the smaller the coefficient of variation the more consistent is the performance.
1.2. Frame Hypotheses for a set of t-tests to compare mean seasonal rainfalls
1.2.1. Frame Hypotheses for a set of t-test to compare mean seasonal rainfalls of Winter Rain and pre Monsoon Rain
State the Null Hypothesis:
The mean seasonal amount of rainfalls of Winter Rain is equal to the pre Monsoon Rain. State the Alternative Hypothesis:
The mean seasonal amount of rainfalls of Winter Rain is not equal to the pre Monsoon Rain. State the Level of significance: State the Test Statistic:
We use t- test as a test statistic because n1 and n2 (the sample sizes) are less than 30. …………(1) with , degrees of freedom.
Where
1.2.2. Frame Hypotheses for a set of t-test to compare mean seasonal rainfalls of Winter Rain and Monsoon
1.1. Use appropriate descriptive graphical and numerical summaries to describe the main features of the annual and seasonal rainfalls and their overall distributions
1.1.1. Graphical presentation of the main features of the annual and seasonal rainfalls:
Fig.1: Multiple Bar Charts
Fig 2: Line Chart
These graphs show that there is maximum Annual Rain and Monsoon Rain at station Lumle ID number 17. Their distribution approaches to approximately normal. These graphs shows that there is heavy Rain in Monsoon season.
1.1.2. Numerical summaries of the main features of the annual and seasonal rainfalls:
We use the following formulas to explain the numerical summaries of the main features of the annual and seasonal rainfalls in Excel …show more content…
Dev. 781 923 26.55 105.2 796 45.88 4.21
Variance 610082 851388 704.66 11073.9 632826 2105.2 17.723
Coeff.Var. 77.72 46.88 46.53 42.64 50.61 49.74 20.48
In this table the coefficient of variation of Monsoon Rain is smaller than all types of Rains. This shows that there is consistency in the Monsoon Rain because the smaller the coefficient of variation the more consistent is the performance.
1.2. Frame Hypotheses for a set of t-tests to compare mean seasonal rainfalls
1.2.1. Frame Hypotheses for a set of t-test to compare mean seasonal rainfalls of Winter Rain and pre Monsoon Rain
State the Null Hypothesis:
The mean seasonal amount of rainfalls of Winter Rain is equal to the pre Monsoon Rain. State the Alternative Hypothesis:
The mean seasonal amount of rainfalls of Winter Rain is not equal to the pre Monsoon Rain. State the Level of significance: State the Test Statistic:
We use t- test as a test statistic because n1 and n2 (the sample sizes) are less than 30. …………(1) with , degrees of freedom.
Where
1.2.2. Frame Hypotheses for a set of t-test to compare mean seasonal rainfalls of Winter Rain and Monsoon