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 in the store. What is the null and alternative hypothesis for this scenario? (Ch10)

A. H0: m =7.5 and H1:m ? 7.5

B. H0: m <=7.5 and H1:m > 7.5

C. H0: m >=7.5 and H1:m < 7.5

D. H0: m <7.5 and H1:m >=7.5

E. H0: m >7.5 and H1:m <= 7.5

Answer 1

Answer: C . $H_0:\mu\geq7.5$ and $H_a:\mu<7.5$

Step-by-step explanation:

Definition:

Null hypothesis$(H_0)$ is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and  '≥' signs.

Alternative hypothesis$(H_a)$ is also a statement about the population parameter but against null hypothesis  . It contains '≠' , '<' and  '>' signs.

Let $\mu$ be the average customer waiting time for the population.

Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.

Objective of test : After using new system ,  the average customer waiting time is at least 7.5 or less than 7.5.

Then, the null and alternative hypothesis for this scenario will be :

$H_0:\mu\geq7.5$

$H_a:\mu<7.5$