(COMPUTER SCIENCE) Please show codes and screenshots, using MATLAB ONLY.. Below
ID: 3176791 • Letter: #
Question
(COMPUTER SCIENCE) Please show codes and screenshots, using MATLAB ONLY..
Below are service times for two different cashiers. Cashier 1: 4.1, 1.6, 2.9, 4.0, 3.7, 1.8, 2.6, 2.4, 2.8, 3.1, 1.9, 4.6, 3.3, 1.9, 3.1, 4.8, 3.9, 3.5, 2.7, 2.2 Cashier 2: 3.9, 2.9, 3.2, 5.1, 4.9, 4.6, 5.1, 2.6, 3.8, 4.1, 5.1, 4.2, 3.4, 4.4, 4.6, 4.0, 2.1, 5.1, 1.9, 3.8 Perform a two-sample KS-test in MATLAB to determine if the service times of the cashiers come from the same distribution (use the default value of 5% significance).Explanation / Answer
Solution:
Cashier 1
20 data points were entered
Mean = 3.045
95% confidence interval for actual Mean: 2.606 thru 3.484
Standard Deviation = 0.939
High = 4.80 Low = 1.60
Third Quartile = 3.85 First Quartile = 2.25
Median = 3.000
Cashier 2
20 data points were entered
Mean = 3.940
95% confidence interval for actual Mean: 3.475 thru 4.405
Standard Deviation = 0.994
High = 5.10 Low = 1.90
Third Quartile = 4.83 First Quartile = 3.25
Median = 4.050
Null Hypotheiss, H0: The two populations come form same distribution.
Alternate hypotheiss, Ha: Two populations come from different distributions.
Significance level = 0.05
The maximum difference between the cumulative distributions, D, is: 0.4500
Test statistics = 0.45
p value = 0.034845
Since p value(0.034845) is less than the significance level so we have to reject the null hypothesis.
From the above test we conclude that the two populations come from different distributions.