The number of entrees purchased in a single order at a Noodles & Company restaur

Question

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.85 entrees per order. On a particular Saturday afternoon, a random sample of 32 Noodles orders had a mean number of entrees equal to 2.15 with a standard deviation equal to 0.9. 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: 1.85 vs. H1: < 1.85

b. H0: 1.85 vs. H1: > 1.85

c. H0: = 1.85 vs. H1: 1.85

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

tcalc (b-2) Find the p-value. (Round your answer to 4 decimal places.) p-value

(c) Choose the correct conclusion.

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.

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.

Explanation / Answer

SolutionA:

b. H0: 1.85 vs. H1: > 1.85

SolutionB:

t=samplemean-popmean/samplesd/sqrt(n)

=2.15-1.85/0.9/sqrt(32)

=1.89

Df=n-1=32-1=31

p=0.034070

p=0.0341

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.

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