Question

a magazine claims that the mean amount spent by a customer at burger stop is greater than a customer at fry world. the results for samples of customer transactions for the two fast foo below. at α=0.05, can you support the magazine’s claim? assume the population variances a samples are random and independent, and the populations are normally distributed. completa below.

burger stop | fry world
--- | ---
\\(\bar{x}_1 = \\$9.89\\) | \\(\bar{x}_2 = \\$9.26\\)
\\(s_1 = \\$0.79\\) | \\(s_2 = \\$0.68\\)
\\(n_1 = 13\\) | \\(n_2 = 11\\)

(a) identify the claim and state \\(h_0\\) and \\(h_a\\). which is the correct claim below?
\\(\bigcirc\\) a. \the mean amount spent by a customer at burger stop is equal to the mean amount fry world.\
\\(\bigcirc\\) b. \the mean amount spent by a customer at burger stop is greater than the mean amo at fry world.\
\\(\bigcirc\\) c. \the mean amount spent by a customer at fry world is greater than the mean amour burger stop.\
\\(\bigcirc\\) d. \the mean amount spent by a customer at burger stop is not equal to the mean amo fry world.\

Explanation:

The magazine's claim is that the mean amount spent by a customer at Burger Stop is greater than that at Fry World. Option B states this claim ("The mean amount spent by a customer at Burger Stop is greater than the mean amount at Fry World"), while other options (A: equal, C: Fry World greater, D: not equal) do not match the claim.

Answer:

B. "The mean amount spent by a customer at Burger Stop is greater than the mean amount at Fry World."