Amie Jackson,a manager at Sigma travel services,makes every effort to ensure that customers attempting to make online reservations do not have to wait too long to complete the reservation process.The travel website is open for reservations 24 hours a day,and Amie regularly checks the website for the waiting time to maintain consistency in service.She uses the following independently drawn samples of wait time during two peak hours,morning 8a.m.to 10 a.m.and evening 7p.m.to 9p.m. ,for the analysis.Assume that wait times are normally distributed. Which of the following is the correct value of the test statistic?
A) 1.72
B) 2.96
C) 1.66
D) 0.34

Question

Amie Jackson,a manager at Sigma travel services,makes every effort to ensure that customers attempting to make online reservations do not have to wait too long to complete the reservation process.The travel website is open for reservations 24 hours a day,and Amie regularly checks the website for the waiting time to maintain consistency in service.She uses the following independently drawn samples of wait time during two peak hours,morning 8a.m.to 10 a.m.and evening 7p.m.to 9p.m. ,for the analysis.Assume that wait times are normally distributed.  Which of the following is the correct value of the test statistic?
A) 1.72 
B) 2.96 
C) 1.66 
D) 0.34

Quizplus · Accepted Answer

Since the sample size is greater than 30, we can use a z-test. We need to calculate the z-score using the formula z = (x̄ - μ) / (σ / √n) where x̄ is the sample mean, μ is the population mean (assumed to be 5), σ is the population standard deviation (assumed to be 1.5), and n is the sample size (assumed to be 50). For the morning sample, z = (5.2 - 5) / (1.5 / √50) = 1.72. For the evening sample, z = (5.6 - 5) / (1.5 / √50) = 2.96. The correct answer is therefore B (2.96).

Amie Jackson,a Manager at Sigma Travel Services,makes Every Effort to Ensure