Question

You are instructed to perform a statistical test to find out if the "day of the week" influences the mean goods "delivery time". a. We could not reject the null hypothesis, the mean delivery time is not different for different day of the weekb. We reject the null hypothesis the mean delivery time is different at least on one of the days of the weekc. We accept the null hypothesis, the mean delivery time is not different for different days of the weekd. We reject the null hypothesis, the mean delivery time is different for every day of the week

Answer 1

A statistical test at a 5% alpha level did not find sufficient evidence to suggest a difference in mean delivery times across different days, hence the null hypothesis was not rejected.

Step-by-step explanation:

Based on the information provided, the statistical test conducted aims to determine if there is a significant difference in the mean delivery time for different days of the week. Given an alpha level of 0.05, the decision was not to reject the null hypothesis because the p-value was greater than alpha. This indicates that there isn't enough statistical evidence to suggest a difference in mean delivery time across different days of the week. Therefore, the conclusion is that there is no significant difference in delivery times based on the day of the week.

Answer 2

The correct answer is:

b. We reject the null hypothesis, the mean delivery time is different at least on one of the days of the week.

Step-by-step explanation:

In statistical hypothesis testing, the null hypothesis typically assumes no significant difference or relationship between variables, while the alternative hypothesis suggests the presence of a significant difference or relationship. In this case, the null hypothesis would state that the mean delivery time is the same for all days of the week, while the alternative hypothesis would propose that there is a difference in the mean delivery time between at least one pair of days.

By rejecting the null hypothesis, we conclude that there is evidence to support the alternative hypothesis, indicating that the mean delivery time varies across different days of the week.