Question

The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim.

Which form of the hypotheses should be used to test the manager's claim?
H0:
is it: greater than or equal to 600/ greater than 600/less than or equal to 600/less than 600/equal to 600/not equal to 600?
Ha:
is it:greater than or equal to 600/ greater than 600/less than or equal to 600/less than 600/equal to 600/not equal to 600?

Answer 1

`H_0:` less than or equal to 600

`H_a:` greater than 600

Explanation:

The null hypothesis will maintain the manager's claim, since the null hypothesis always suggests that their is no difference in the general population.

Therefore if the mean guest bill is represented by
`\mu_g`, the null hypothesis will be that the mean guest bill is less than or equal to 600.

Since the alternative hypothesis is the opposite of the null hypothesis which indicates a difference in the general population, the alternative hypothesis will be that the guest meal is greater than 600

`H_0: \mu_g \leq 600\\H_a: \mu_g > 600`