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 1.35 entrees per order. On a particular Saturday afternoon, a random sample of 26 Noodles orders had a mean number of entrees equal to 1.4 with a standard deviation equal to 0.7. At the 1 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: 1.35 vs. H1: < 1.35 b. H0: 1.35 vs. H1: > 1.35 c. H0: = 1.35 vs. H1: 1.35 a b c (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

Explanation / Answer

a)

Option B

H0 : 1.35

H1: > 1.35

b)

significance = 0.01

1 tailed test

t = (x -  ) / (SD/SQRT(n))

= (1.4 - 1.35) / (0.7/SQRT(26))

= 0.36

b-2)

df = n-1 = 26-1 = 25

P-value = TDIST(0.36,25,1) = 0.3594

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