based on the data provided, whether there is a statistically significant difference in the OTP and SPH between DEPOT_15 and DEPOT_18. To do this, you will need to perform a hypothesis test.
Hypothesis testing involves setting up a null hypothesis (H0) and an alternative hypothesis (Ha). The null hypothesis assumes that there is no significant difference between the two depots, while the alternative hypothesis assumes that there is a significant difference.
To test the hypothesis, you will need to calculate the test statistic and compare it to the critical value. If the test statistic falls within the critical region, you can reject the null hypothesis and conclude that there is a significant difference. If the test statistic falls outside the critical region, you fail to reject the null hypothesis and conclude that there is no significant difference.
In this case, you will need to calculate the test statistic for both OTP and SPH. The test statistic for OTP can be calculated using the formula:
test statistic = (mean1 - mean2) / (standard deviation / square root of n)
where mean1 and mean2 are the sample means, standard deviation is the standard deviation of the population, and n is the sample size.
Similarly, the test statistic for SPH can be calculated using the same formula.
Once you have calculated the test statistics, you can compare them to the critical values to determine whether there is a significant difference in OTP and SPH between the two depots.
Remember to consider the level of significance (alpha) when determining the critical values. Typically, a significance level of 0.05 is used, which corresponds to a 95% confidence level.
In conclusion, your task is to perform a hypothesis test to determine whether there is a statistically significant difference in OTP and SPH between DEPOT_15 and DEPOT_18. You will need to calculate the test statistics and compare them to the critical values to make your conclusion.