To test if there is a difference in the mean number of spam emails blocked for different days of the week, we can use a one-way ANOVA (analysis of variance) test. The null hypothesis is that the means for all days are equal, and the alternative hypothesis is that at least one mean is different.
The F-test statistic from the ANOVA table is 5.72, with a p-value of 0.000, which is less than the significance level of 0.05. This indicates strong evidence against the null hypothesis and suggests that there is at least one day with a significantly different mean number of spam emails blocked compared to the other days.
We can also look at the confidence intervals for each day’s mean to see which ones overlap and which ones do not. The confidence interval for Monday does not overlap with any other day’s interval, indicating that its mean is significantly different. The intervals for Tuesday and Wednesday overlap slightly, but their means are still significantly different from Thursday, Friday, Saturday, and Sunday.
In conclusion, based on both the ANOVA test and confidence intervals, there is evidence to suggest a difference in the mean number of spam emails blocked for different days of the week. Monday appears to have significantly more spam emails blocked than any other day, while Tuesday and Wednesday have similar means that are lower than Monday but higher than Thursday through Sunday.
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