Two-Sample T-Test for Comparing Service Station Sales in RStudio
To perform the two-sample t-test using RStudio, we can follow these steps:
- Load the data into RStudio and assign it to a variable (e.g. 'gas_data').
- Split the data into two groups based on the service station (e.g. 'station1' and 'station2').
- Calculate the mean and standard deviation of the sales for each group.
- Use the t.test() function to perform the two-sample t-test, specifying the two groups and assuming unequal variances (i.e. var.equal = FALSE).
Here's the R code to perform these steps:
Step 1: Load the data
gas_data <- read.csv('gas_sales.csv')
Step 2: Split the data into two groups
station1 <- gas_data[gas_data$Station == 'Station 1',] station2 <- gas_data[gas_data$Station == 'Station 2',]
Step 3: Calculate the mean and standard deviation of sales for each group
mean1 <- mean(station1$Sales) sd1 <- sd(station1$Sales) mean2 <- mean(station2$Sales) sd2 <- sd(station2$Sales)
Step 4: Perform the two-sample t-test
t.test(station1$Sales, station2$Sales, var.equal = FALSE)
Assuming there are no confounding variables, the results of the t-test indicate whether there is a significant difference in the mean sales between the two service stations. The output of the t.test() function includes the t-statistic, degrees of freedom, and p-value. The p-value tells us the probability of observing a difference in means as extreme as the one we calculated, assuming there is no true difference between the populations. If the p-value is less than our chosen significance level (e.g. 0.05), we can reject the null hypothesis that the means are equal and conclude that there is a significant difference between the two service stations.
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