The average customer waiting time at a fast food restaurant has been 7.5 minutes.The customer waiting time has a normal distribution.The manager claims that the use of a new system will decrease average customer waiting time.What is the null and alternative hypothesis for this scenario? A)H₀: μ = 7.5 and H_a ≠ 7.5 B)H₀: μ ≤ 7.5 and H_a 7.5 C)H₀: μ ≥ 7.5 and H_a 7.5 and H_a ≥ 7.5 E)H₀: μ 7.5 and H_a ≤ 7.5

Question

The average customer waiting time at a fast food restaurant has been 7.5 minutes.The customer waiting time has a normal distribution.The manager claims that the use of a new system will decrease average customer waiting time.What is the null and alternative hypothesis for this scenario? A)H₀: μ = 7.5 and H_a ≠ 7.5 B)H₀: μ ≤ 7.5 and H_a > 7.5 C)H₀: μ ≥ 7.5 and H_a < 7.5 D)H₀: μ > 7.5 and H_a ≥ 7.5 E)H₀: μ > 7.5 and H_a ≤ 7.5

Quizplus · Accepted Answer

The null hypothesis (H0) is a statement of no effect or no difference, which in this case would be that the average customer waiting time is greater than or equal to 7.5 minutes (μ ≥ 7.5), assuming the new system has no effect. The alternative hypothesis (Ha) is what the manager hopes to prove, that the new system decreases average customer waiting time, hence μ < 7.5.

The Average Customer Waiting Time at a Fast Food Restaurant