Answer:
a)
[tex]H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}[/tex]
b)
[tex]H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}[/tex]
Step-by-step explanation:
We have to build appropriate null and alternate hypothesis for the given scenarios.
a) Population mean, μ = $62,500 per year
The market research wants to find whether the mean household income of mall shoppers is higher than that of the general population.
[tex]H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}[/tex]
We would use one-tail(right) test to perform this hypothesis.
b) Population mean, μ = 2.6 hours
The company want to know the average time to respond to trouble calls is different or not.
[tex]H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}[/tex]
We would use two-tail test to perform this hypothesis.
