Question

The number of entrees purchased in a single order at a Noodles & Company restaurant has had a historical average of 2 entrees per order. On a particular Saturday afternoon, a random sample of 46 Noodles orders had a mean number of entrees equal to 2.4 with a standard deviation equal to 1.07. At the 2 percent level of significance, does this sample show that the average number of entrees per order was greater than expected?

(a) Choose the correct null and alternative hypotheses.
a. H₀: μ = 2 vs. H₁: μ < 2

b. H₀: μ = 2 vs. H₁: μ > 2

c. H₀: μ = 2 vs. H₁: μ ≠ 2

• a

• b

• c

(b-1) Calculate the t statistic. (Round your answer to 2 decimal places.)

t_calc _______________-

(b-2) Find the p-value. (Round your answer to 3 decimal places.)

p-value ___________

(c) Choose the correct conclusion.

• Because the p-value is greater than 0.02, we conclude that there is no evidence to indicate a significant increase in the average number of entrees per order.

• Because the p-value is less than 0.02, we conclude that there is evidence to indicate a significant increase in the average number of entrees per order.

Answer 1