Answer:
Yes, we can conclude that the mean waiting time is less than 3 minutes.
Step-by-step explanation:
Since we want to check if the average waiting time is less than 3 minutes, we can state the statistical hypothesis as follows:
[tex]H_{0} :[/tex] µ≥3
[tex]H_{a}:[/tex] µ<3
The test is a lower sided.
Now we calculate the test statistic z:
z=(x-µ)/(σ/[tex]\sqrt{n}[/tex])
=(2.75-3)/(1/[tex]\sqrt{50}[/tex])
=-1.7678
The p-value obtained from the standard normal table is 0.0386
Since the p-value is less than the significance level (0.0386<0.05), the decision is to reject the null hypothesis. so there is enough evidence to conclude that the mean waiting time is less than 3 minutes.
